# Michael Todd

## Personal Details

First Name: | Michael |

Middle Name: | |

Last Name: | Todd |

Suffix: | |

RePEc Short-ID: | pto35 |

http://people.orie.cornell.edu/~miketodd/todd.html | |

## Affiliation

### Cornell University, School of Operations Research and Industrial Engineering

http://www.orie.cornell.eduUS, Ithaca

## Research output

Jump to: Working papers Articles### Working papers

- M.J. Todd & A. Fostel & H.E. Scarf, 2004.
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**Two New Proofs of Afriat's Theorem**," Econometric Society 2004 North American Summer Meetings 632, Econometric Society.- A. Fostel & H. Scarf & M. Todd, 2004.
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**Two new proofs of Afriat’s theorem**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 211-219, July.

- Herbert E. Scarf & Ana Fostel & Michael J. Todd, 2004.
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**Two New Proofs of Afriat's Theorem**," Yale School of Management Working Papers ysm377, Yale School of Management. - Anna Fostel & Herbert E. Scarf & Michael J. Todd, 2003.
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**Two New Proofs of Afriat's Theorem**," Cowles Foundation Discussion Papers 1415, Cowles Foundation for Research in Economics, Yale University.

- A. Fostel & H. Scarf & M. Todd, 2004.
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- NESTEROV, Yurii & TODD, Michael & YE, Ping-Yuan, 1996.
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**Primal-Dual Methods and Infeasibility Detectors for Nonlinear Programming Problems**," CORE Discussion Papers 1996037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). - NESTEROV , Yurii & TODD , Michael, 1995.
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**Primal-Dual Interior-Point Methods for Self-Scaled Cones**," CORE Discussion Papers 1995044, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). - NESTEROV ., Yurii E. & TODD , Michael J, 1994.
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**Self-Scaled Cones and Interior-Point Methods in Nonlinear Programming**," CORE Discussion Papers 1994062, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). - Freund, Robert Michael. & Todd, Michael J., 1947-, 1992.
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**Barrier functions and interior-point algorithms for linear programming with zero-, one-, or two-sided bounds on the variables**," Working papers 3454-92., Massachusetts Institute of Technology (MIT), Sloan School of Management.- Robert M. Freund & Michael J. Todd, 1995.
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**Barrier Functions and Interior-Point Algorithms for Linear Programming with Zero-, One-, or Two-Sided Bounds on the Variables**," Mathematics of Operations Research, INFORMS, vol. 20(2), pages 415-440, May.

- Robert M. Freund & Michael J. Todd, 1995.
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- Michael J. Todd & Yinyu Ye, 1988.
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**A Centered Projective Algorithm for Linear Programming**," Cowles Foundation Discussion Papers 861, Cowles Foundation for Research in Economics, Yale University.- Michael J. Todd & Yinyu Ye, 1990.
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**A Centered Projective Algorithm for Linear Programming**," Mathematics of Operations Research, INFORMS, vol. 15(3), pages 508-529, August.

- Michael J. Todd & Yinyu Ye, 1990.
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- Freund, Robert Michael. & Roundy, Robin. & Todd, Michael J., 1947-, 1985.
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**Identifying the set of always-active constraints in a system of linear inequalities by a single linear program**," Working papers 1674-85., Massachusetts Institute of Technology (MIT), Sloan School of Management. - TODD, Michael J., 1978.
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**Solving the generalized market area problem**," CORE Discussion Papers RP 349, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). - TODD, Michael J., 1978.
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**On the Jacobian of a function at a zero computed by a fixed point algorithm**," CORE Discussion Papers RP 338, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).- Michael J. Todd, 1978.
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**On the Jacobian of a Function at a Zero Computed by a Fixed Point Algorithm**," Mathematics of Operations Research, INFORMS, vol. 3(2), pages 126-132, May.

- Michael J. Todd, 1978.
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- R. Saigal & M.J. Todd, 1976.
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**Efficient Acceleration Techniques for Fixed Point Algorithms**," Discussion Papers 261, Northwestern University, Center for Mathematical Studies in Economics and Management Science.- Saigal, R. & Todd, M.J., 1978.
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**Efficient acceleration techniques for fixed point algorithms**," CORE Discussion Papers RP 344, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

- Saigal, R. & Todd, M.J., 1978.
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### Articles

- Michael J. Todd, 2016.
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**Computation, Multiplicity, and Comparative Statics of Cournot Equilibria in Integers**," Mathematics of Operations Research, INFORMS, vol. 41(3), pages 1125-1134, August. - Qiao, Xingye & Zhang, Hao Helen & Liu, Yufeng & Todd, Michael J. & Marron, J. S., 2010.
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**Weighted Distance Weighted Discrimination and Its Asymptotic Properties**," Journal of the American Statistical Association, American Statistical Association, vol. 105(489), pages 401-414. - Marron, J.S. & Todd, Michael J. & Ahn, Jeongyoun, 2007.
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**Distance-Weighted Discrimination**," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 1267-1271, December. - A. Fostel & H. Scarf & M. Todd, 2004.
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**Two new proofs of Afriat’s theorem**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 211-219, July.- Herbert E. Scarf & Ana Fostel & Michael J. Todd, 2004.
"
**Two New Proofs of Afriat's Theorem**," Yale School of Management Working Papers ysm377, Yale School of Management. - M.J. Todd & A. Fostel & H.E. Scarf, 2004.
"
**Two New Proofs of Afriat's Theorem**," Econometric Society 2004 North American Summer Meetings 632, Econometric Society. - Anna Fostel & Herbert E. Scarf & Michael J. Todd, 2003.
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**Two New Proofs of Afriat's Theorem**," Cowles Foundation Discussion Papers 1415, Cowles Foundation for Research in Economics, Yale University.

- Herbert E. Scarf & Ana Fostel & Michael J. Todd, 2004.
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- M. J. Todd, 1998.
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**Erratum: Probabilistic Models for Linear Programming**," Mathematics of Operations Research, INFORMS, vol. 23(3), pages 767-768, August. - Yu. E. Nesterov & M. J. Todd, 1997.
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**Self-Scaled Barriers and Interior-Point Methods for Convex Programming**," Mathematics of Operations Research, INFORMS, vol. 22(1), pages 1-42, February. - Levent Tunçel & Michael J. Todd, 1996.
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**Asymptotic Behavior of Interior-Point Methods: A View From Semi-Infinite Programming**," Mathematics of Operations Research, INFORMS, vol. 21(2), pages 354-381, May. - Shinji Mizuno & Michael J. Todd & Yinyu Ye, 1995.
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**A Surface of Analytic Centers and Primal-Dual Infeasible-Interior-Point Algorithms for Linear Programming**," Mathematics of Operations Research, INFORMS, vol. 20(1), pages 135-162, February. - Robert M. Freund & Michael J. Todd, 1995.
"
**Barrier Functions and Interior-Point Algorithms for Linear Programming with Zero-, One-, or Two-Sided Bounds on the Variables**," Mathematics of Operations Research, INFORMS, vol. 20(2), pages 415-440, May.- Freund, Robert Michael. & Todd, Michael J., 1947-, 1992.
"
**Barrier functions and interior-point algorithms for linear programming with zero-, one-, or two-sided bounds on the variables**," Working papers 3454-92., Massachusetts Institute of Technology (MIT), Sloan School of Management.

- Freund, Robert Michael. & Todd, Michael J., 1947-, 1992.
"
- Yinyu Ye & Michael J. Todd & Shinji Mizuno, 1994.
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**An O(√nL)-Iteration Homogeneous and Self-Dual Linear Programming Algorithm**," Mathematics of Operations Research, INFORMS, vol. 19(1), pages 53-67, February. - Michael J. Todd, 1994.
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**Commentary—Theory and Practice for Interior-Point Methods**," INFORMS Journal on Computing, INFORMS, vol. 6(1), pages 28-31, February. - Shinji Mizuno & Michael J. Todd & Yinyu Ye, 1993.
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**On Adaptive-Step Primal-Dual Interior-Point Algorithms for Linear Programming**," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 964-981, November. - Michael J. Todd, 1991.
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**Probabilistic Models for Linear Programming**," Mathematics of Operations Research, INFORMS, vol. 16(4), pages 671-693, November. - Michael J. Todd, 1990.
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**A Dantzig-Wolfe-Like Variant of Karmarkar's Interior-Point Linear Programming Algorithm**," Operations Research, INFORMS, vol. 38(6), pages 1006-1018, December. - Michael J. Todd & Yinyu Ye, 1990.
"
**A Centered Projective Algorithm for Linear Programming**," Mathematics of Operations Research, INFORMS, vol. 15(3), pages 508-529, August.- Michael J. Todd & Yinyu Ye, 1988.
"
**A Centered Projective Algorithm for Linear Programming**," Cowles Foundation Discussion Papers 861, Cowles Foundation for Research in Economics, Yale University.

- Michael J. Todd & Yinyu Ye, 1988.
"
- Clyde L. Monma & Alexander Schrijver & Michael J. Todd & Victor K. Wei, 1990.
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**Convex Resource Allocation Problems on Directed Acyclic Graphs: Duality, Complexity, Special Cases, and Extensions**," Mathematics of Operations Research, INFORMS, vol. 15(4), pages 736-748, November. - Michael J. Todd, 1988.
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**Improved Bounds and Containing Ellipsoids in Karmarkar's Linear Programming Algorithm**," Mathematics of Operations Research, INFORMS, vol. 13(4), pages 650-659, November. - Bruce P. Burrell & Michael J. Todd, 1985.
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**The Ellipsoid Method Generates Dual Variables**," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 688-700, November. - Michael J. Todd, 1982.
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**On Minimum Volume Ellipsoids Containing Part of a Given Ellipsoid**," Mathematics of Operations Research, INFORMS, vol. 7(2), pages 253-261, May. - Michael J. Todd, 1981.
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**Approximate Labelling for Simplicial Algorithms and Two Classes of Special Subsets of the Sphere**," Mathematics of Operations Research, INFORMS, vol. 6(4), pages 579-592, November. - Robert G. Bland & Donald Goldfarb & Michael J. Todd, 1981.
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**Feature Article—The Ellipsoid Method: A Survey**," Operations Research, INFORMS, vol. 29(6), pages 1039-1091, December. - Robert B. Rovinsky & Christine A. Shoemaker & Michael J. Todd, 1980.
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**Determining Optimal Use of Resources among Regional Producers under Differing Levels of Cooperation**," Operations Research, INFORMS, vol. 28(4), pages 859-866, August. - Michael J. Todd, 1980.
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**The Monotonic Bounded Hirsch Conjecture is False for Dimension at Least 4**," Mathematics of Operations Research, INFORMS, vol. 5(4), pages 599-601, November. - Michael J. Todd & Robert C. Acar, 1980.
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**A Note on Optimally Dissecting Simplices**," Mathematics of Operations Research, INFORMS, vol. 5(1), pages 63-66, February. - Michael J. Todd, 1980.
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**Traversing Large Pieces of Linearity in Algorithms that Solve Equations by Following Piecewise-Linear Paths**," Mathematics of Operations Research, INFORMS, vol. 5(2), pages 242-257, May. - Todd, Michael J., 1979.
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**A note on computing equilibria in economies with activity analysis models of production**," Journal of Mathematical Economics, Elsevier, vol. 6(2), pages 135-144, July. - Michael J. Todd, 1978.
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**On the Jacobian of a Function at a Zero Computed by a Fixed Point Algorithm**," Mathematics of Operations Research, INFORMS, vol. 3(2), pages 126-132, May.- TODD, Michael J., 1978.
"
**On the Jacobian of a function at a zero computed by a fixed point algorithm**," CORE Discussion Papers RP 338, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

- TODD, Michael J., 1978.
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- Michael J. Todd, 1978.
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**Note--Solving the Generalized Market Area Problem**," Management Science, INFORMS, vol. 24(14), pages 1549-1554, October. - Michael J. Todd, 1976.
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**Orientation in Complementary Pivot Algorithms**," Mathematics of Operations Research, INFORMS, vol. 1(1), pages 54-66, February.

## Citations

Many of the citations below have been collected in an experimental project, CitEc, where a more detailed citation analysis can be found. These are citations from works listed in RePEc that could be analyzed mechanically. So far, only a minority of all works could be analyzed. See under "Corrections" how you can help improve the citation analysis.### Working papers

- M.J. Todd & A. Fostel & H.E. Scarf, 2004.
"
**Two New Proofs of Afriat's Theorem**," Econometric Society 2004 North American Summer Meetings 632, Econometric Society.- A. Fostel & H. Scarf & M. Todd, 2004.
"
**Two new proofs of Afriat’s theorem**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 211-219, July.

- Herbert E. Scarf & Ana Fostel & Michael J. Todd, 2004.
"
**Two New Proofs of Afriat's Theorem**," Yale School of Management Working Papers ysm377, Yale School of Management. - Anna Fostel & Herbert E. Scarf & Michael J. Todd, 2003.
"
**Two New Proofs of Afriat's Theorem**," Cowles Foundation Discussion Papers 1415, Cowles Foundation for Research in Economics, Yale University.

Cited by:

- John Quah, 2014.
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**A test for weakly separable preferences**," Economics Series Working Papers 708, University of Oxford, Department of Economics. - Laurens Cherchye & Bram De Rock & Vincenzo Platino, 2013.
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**Private versus public consumption within groups: testing the nature of goods from aggregate data**," ULB Institutional Repository 2013/131703, ULB -- Universite Libre de Bruxelles.- Laurens Cherchye & Bram De Rock & Vincenzo Platino, 2013.
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**Private versus public consumption within groups: testing the nature of goods from aggregate data**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 485-500, November. - Laurens Cherchye & Bram De Rock & Vincenzo Platino, 2010.
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**Private versus public consumption within groups : testing the nature of goods from aggregate data**," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00543999, HAL. - Laurens Cherchye & Bram De Rock & Vincenzo Platino, 2010.
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**Private versus public consumption within groups: testing the nature of goods from aggregate data**," Documents de travail du Centre d'Economie de la Sorbonne 10090, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.

- Laurens Cherchye & Bram De Rock & Vincenzo Platino, 2013.
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- D. Wade Hands, 2014.
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**Paul Samuelson and Revealed Preference Theory**," History of Political Economy, Duke University Press, vol. 46(1), pages 85-116, Spring. - Teo Chung Piaw & Rakesh V. Vohra, 2003.
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**Afrait's Theorem and Negative Cycles**," Discussion Papers 1377, Northwestern University, Center for Mathematical Studies in Economics and Management Science. - Matthew Polisson & Ludovic Renou, 2016.
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**Afriat's Theorem and Samuelson's `Eternal Darkness'**," Discussion Papers in Economics 16/09, Department of Economics, University of Leicester.- Polisson, Matthew & Renou, Ludovic, 2016.
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**Afriat’s Theorem and Samuelson’s ‘Eternal Darkness’**," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 36-40.

- Polisson, Matthew & Renou, Ludovic, 2016.
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- Alfred Galichon & John Quah, 2013.
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**Symposium on revealed preference analysis**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 419-423, November. - Santiago Sanchez-Pages, 2012.
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**(Don't) Make My Vote Count**," ESE Discussion Papers 213, Edinburgh School of Economics, University of Edinburgh. - Forges, Françoise & Iehlé, Vincent, 2014.
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**Afriat’s theorem for indivisible goods**," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 1-6.- Francoise Forges & Vincent Iehlé, 2014.
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**Afriat's theorem for indivisible goods**," Post-Print halshs-00870052, HAL. - Francoise Forges & Vincent Iehlé, 2013.
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**Afriat's Theorem for Indivisible Goods**," CESifo Working Paper Series 4498, CESifo Group Munich.

- Francoise Forges & Vincent Iehlé, 2014.
"
- John Geanakoplos, 2013.
"
**Afriat from MaxMin**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 443-448, November. - Matthew Polisson, 2012.
"
**Goods versus characteristics: dimension reduction and revealed preference**," IFS Working Papers W12/02, Institute for Fiscal Studies.- Matthew Polisson, 2011.
"
**Goods Versus Characteristics: Dimension Reduction and Revealed Preference**," Discussion Papers in Economics 11/44, Department of Economics, University of Leicester, revised Dec 2011.

- Matthew Polisson, 2011.
"
- Ivar Ekeland & Alfred Galichon, 2013.
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**The Housing Problem and Revealed Preference Theory: Duality and an application**," Post-Print hal-01059558, HAL.- Ivar Ekeland & Alfred Galichon, 2013.
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**The housing problem and revealed preference theory: duality and an application**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 425-441, November. - Ivar Ekeland & Alfred Galichon, 2013.
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**The Housing Problem and Revealed Preference Theory: Duality and an application**," Sciences Po publications info:hdl:2441/5rkqqmvrn4t, Sciences Po.

- Ivar Ekeland & Alfred Galichon, 2013.
"
- Victor H. Aguiar & Roberto Serrano, 2018.
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**Cardinal Revealed Preference, Price-Dependent Utility, and Consistent Binary Choice**," Working Papers 2018-3, Brown University, Department of Economics. - Apartsin, Yevgenia & Kannai, Yakar, 2006.
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**Demand properties of concavifiable preferences**," Journal of Mathematical Economics, Elsevier, vol. 43(1), pages 36-55, December. - Matthew Polisson & John K.-H. Quah, 2013.
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**Revealed Preference in a Discrete Consumption Space**," American Economic Journal: Microeconomics, American Economic Association, vol. 5(1), pages 28-34, February.- Matthew Polisson & John Quah, 2012.
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**Revealed Preference in a Discrete Consumption Space**," Discussion Papers in Economics 12/02, Department of Economics, University of Leicester, revised Feb 2012. - Matthew Polisson & John Quah, 2012.
"
**Revealed preference in a discrete consumption space**," IFS Working Papers W12/03, Institute for Fiscal Studies.

- Matthew Polisson & John Quah, 2012.
"
- Laurens Cherchye & Thomas Demuynck & Bram De Rock, 2012.
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**Revealed Preference Analysis for Convex Rationalizations on Nonlinear Budget Sets**," Working Papers ECARES ECARES 2012-044, ULB -- Universite Libre de Bruxelles.- Laurens CHERCHYE & Thomas DEMUYNCK & Bram DE ROCK, 2012.
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**Revealed preference analysis for convex rationalizations on nonlinear budget sets**," Working Papers Department of Economics ces12.15, KU Leuven, Faculty of Economics and Business, Department of Economics. - Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2014.
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**Revealed preference analysis for convex rationalizations on nonlinear budget sets**," Journal of Economic Theory, Elsevier, vol. 152(C), pages 224-236. - Laurens Cherchye & Thomas Demuynck & Bram De Rock, 2014.
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**Revealed Preference Analysis for Convex Rationalizations on Nonlinear Budget Sets**," ULB Institutional Repository 2013/252230, ULB -- Universite Libre de Bruxelles.

- Laurens CHERCHYE & Thomas DEMUYNCK & Bram DE ROCK, 2012.
"
- Leeat Yariv & David Laibson, 2004.
"
**Safety in Markets: An Impossibility Theorem for Dutch Books**," 2004 Meeting Papers 867, Society for Economic Dynamics.- David Laibson & Leeat Yariv, 2007.
"
**Safety in Markets: An Impossibility Theorem for Dutch Books**," Levine's Bibliography 122247000000001746, UCLA Department of Economics.

- David Laibson & Leeat Yariv, 2007.
"
- Forges, Françoise & Iehlé, Vincent, 2012.
"
**Essential Data, Budget Sets and Rationalization**," MPRA Paper 36519, University Library of Munich, Germany.- Françoise Forges & Vincent Iehlé, 2013.
"
**Essential data, budget sets and rationalization**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 449-461, November. - Francoise Forges & Vincent Iehlé, 2013.
"
**Essential Data, Budget Sets and Rationalization**," Post-Print halshs-00727806, HAL.

- Françoise Forges & Vincent Iehlé, 2013.
"
- Francoise Forges & Enrico Minelli, 2006.
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**Afriat's Theorem for General Budget Sets**," Working Papers ubs0609, University of Brescia, Department of Economics.- Forges, Françoise & Minelli, Enrico, 2009.
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**Afriat's theorem for general budget sets**," Journal of Economic Theory, Elsevier, vol. 144(1), pages 135-145, January. - Francoise Forges & Enrico Minelli, 2006.
"
**Afriat’s Theorem for General Budget Sets**," CESifo Working Paper Series 1703, CESifo Group Munich.

- Forges, Françoise & Minelli, Enrico, 2009.
"
- SÃ¡kovics, JÃ³zsef, 2012.
"
**Revealed cardinal preference**," SIRE Discussion Papers 2012-02, Scottish Institute for Research in Economics (SIRE).- József Sákovics, 2013.
"
**Revealed cardinal preference**," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 39-45, May. - Jozsef Sakovics, 2012.
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**Revealed cardinal preference**," ESE Discussion Papers 212, Edinburgh School of Economics, University of Edinburgh.

- József Sákovics, 2013.
"
- Halevy, Yoram & Persitz, Dotan & Zrill, Lanny, 2017.
"
**Non-parametric bounds for non-convex preferences**," Journal of Economic Behavior & Organization, Elsevier, vol. 137(C), pages 105-112.- Halevy, Yoram & Persitz, Dotan & Zrill, Lanny, 2015.
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**Non-Parametric Bounds for Non-Convex Preferences**," Microeconomics.ca working papers yoram_halevy-2015-23, Vancouver School of Economics, revised 16 Oct 2016.

- Halevy, Yoram & Persitz, Dotan & Zrill, Lanny, 2015.
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- Thomas Demuynck & Christian Seel, 2018.
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**Revealed Preference with Limited Consideration**," American Economic Journal: Microeconomics, American Economic Association, vol. 10(1), pages 102-131, February.- Thomas Demuynck & Christian Seel, "undated".
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**Revealed preference with limited consideration**," ULB Institutional Repository 2013/251989, ULB -- Universite Libre de Bruxelles. - Demuynck T. & Seel C., 2014.
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**Revealed preference with limited consideration**," Research Memorandum 036, Maastricht University, Graduate School of Business and Economics (GSBE).

- Thomas Demuynck & Christian Seel, "undated".
"
- Echenique, Federico & Galichon, Alfred, 2017.
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**Ordinal and cardinal solution concepts for two-sided matching**," Games and Economic Behavior, Elsevier, vol. 101(C), pages 63-77.- Federico Echenique & Alfred Galichon, 2014.
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**Ordinal and cardinal solution concepts for two-sided matching**," Sciences Po publications info:hdl:2441/5k6c74nfqf9, Sciences Po.

- Federico Echenique & Alfred Galichon, 2014.
"
- Pawel Dziewulski, 2018.
"
**Just-noticeable difference as a behavioural foundation of the critical cost-efficiency**," Economics Series Working Papers 848, University of Oxford, Department of Economics. - Hiroki Nishimura & Efe A. Ok & John K.-H. Quah, 2014.
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**A Unified Approach to Revealed Preference Theory: The Case of Rational Choice**," Working Papers 201418, University of California at Riverside, Department of Economics.- John Quah & Hiroki Nishimura & Efe A. Ok, 2013.
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**A Unified Approach to Revealed Preference Theory: The Case of Rational Choice**," Economics Series Working Papers 686, University of Oxford, Department of Economics.

- John Quah & Hiroki Nishimura & Efe A. Ok, 2013.
"
- Sam Cosaert & Thomas Demuynck, 2015.
"
**Revealed preference theory for finite choice sets**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 169-200, May.- Sam Cosaert & Thomas Demuynck, 2015.
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**Revealed preference theory for finite choice sets**," ULB Institutional Repository 2013/251997, ULB -- Universite Libre de Bruxelles. - Sam COSAERT & Thomas DEMUYNCK, 2013.
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**Revealed preference theory for finite choice sets**," Working Papers Department of Economics ces13.08, KU Leuven, Faculty of Economics and Business, Department of Economics.

- Sam Cosaert & Thomas Demuynck, 2015.
"
- Kohei Shiozawa, 2015.
"
**Revealed Preference Test and Shortest Path Problem; Graph Theoretic Structure of the Rationalizability Test**," Discussion Papers in Economics and Business 15-17-Rev.2, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP), revised Aug 2016. - Halevy, Yoram & Persitz, Dotan & Zrill, Lanny, 2012.
"
**Parametric Recoverability of Preferences**," Microeconomics.ca working papers yoram_halevy-2012-20, Vancouver School of Economics, revised 28 Aug 2015.- Halevy, Yoram & Persitz, Dotan & Zrill, Lanny, 2016.
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**Parametric Recoverability of Preferences**," Microeconomics.ca working papers yoram_halevy-2016-11, Vancouver School of Economics, revised 02 Nov 2016.

- Halevy, Yoram & Persitz, Dotan & Zrill, Lanny, 2016.
"
- Kohei Shiozawa, 2015.
"
**Revealed Preference Test and Shortest Path Problem; Graph Theoretic Structure of the Rationalizability Test**," Discussion Papers in Economics and Business 15-17, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP). - Anat Bracha, 2004.
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**Consistency and Refutability of Affective Choice**," Yale School of Management Working Papers amz2639, Yale School of Management. - Andrés Carvajal & Rahul Deb & James Fenske & John Quah, 2014.
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**A nonparametric analysis of multi-product oligopolies**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(2), pages 253-277, October. - John Geanakoplos, 2013.
"
**Afriat from MaxMin**," Cowles Foundation Discussion Papers 1904, Cowles Foundation for Research in Economics, Yale University. - Leeat Yariv, 2004.
"
**Safety in Markets: An Impossibility Theorem for Dutch Books**," Theory workshop papers 658612000000000072, UCLA Department of Economics. - Matthew Polisson & John K.-H. Quah, 2013.
"
**Revealed preference tests under risk and uncertainty**," Discussion Papers in Economics 13/24, Department of Economics, University of Leicester. - Green, Jerry & Hojman, Daniel, 2007.
"
**Choice, Rationality and Welfare Measurement**," Working Paper Series rwp07-054, Harvard University, John F. Kennedy School of Government. - Per Hjertstrand & James Swofford, 2012.
"
**Revealed preference tests for consistency with weakly separable indirect utility**," Theory and Decision, Springer, vol. 72(2), pages 245-256, February. - Shiozawa, Kohei, 2016.
"
**Revealed preference test and shortest path problem; graph theoretic structure of the rationalizability test**," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 38-48. - John Quah, 2012.
"
**A revealed preference test for weakly separable preferences**," Economics Series Working Papers 601, University of Oxford, Department of Economics. - Matthew Polisson, 2011.
"
**Goods Versus Characteristics: Revealed Preference Procedures for Nested Models**," Economics Series Working Papers 531, University of Oxford, Department of Economics.- Matthew Polisson, 2011.
"
**Goods Versus Characteristics: Dimension Reduction and Revealed Preference**," Discussion Papers in Economics 11/44, Department of Economics, University of Leicester, revised Dec 2011.

- Matthew Polisson, 2011.
"
- John Geanakoplos, 2013.
"
**Afriat from MaxMin**," Levine's Working Paper Archive 786969000000000746, David K. Levine. - Kohei Shiozawa, 2015.
"
**Revealed Preference Test and Shortest Path Problem; Graph Theoretic Structure of the Rationalizability Test**," Discussion Papers in Economics and Business 15-17-Rev., Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP), revised Jul 2015. - Satoru Fujishige & Zaifu Yang, 2012.
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**On Revealed Preference and Indivisibilities**," Discussion Papers 12/02, Department of Economics, University of York. - Christopher Chambers & Federico Echenique, 2009.
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**Profit maximization and supermodular technology**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 173-183, August. - Lee, Chia-Yen & Johnson, Andrew L. & Moreno-Centeno, Erick & Kuosmanen, Timo, 2013.
"
**A more efficient algorithm for Convex Nonparametric Least Squares**," European Journal of Operational Research, Elsevier, vol. 227(2), pages 391-400. - Kolesnikov, Alexander V. & Kudryavtseva, Olga V. & Nagapetyan, Tigran, 2013.
"
**Remarks on Afriat’s theorem and the Monge–Kantorovich problem**," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 501-505.

- A. Fostel & H. Scarf & M. Todd, 2004.
"
- NESTEROV, Yurii & TODD, Michael & YE, Ping-Yuan, 1996.
"
**Primal-Dual Methods and Infeasibility Detectors for Nonlinear Programming Problems**," CORE Discussion Papers 1996037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).Cited by:

- Luo, Z-Q. & Sturm, J.F. & Zhang, S., 1998.
"
**Conic convex programming and self-dual embedding**," Econometric Institute Research Papers EI 9815, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - Liqun Qi & Yinyu Ye, 2014.
"
**Space tensor conic programming**," Computational Optimization and Applications, Springer, vol. 59(1), pages 307-319, October. - Luo, Z-Q. & Sturm, J.F. & Zhang, S., 1997.
"
**Duality Results for Conic Convex Programming**," Econometric Institute Research Papers EI 9719/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

- Luo, Z-Q. & Sturm, J.F. & Zhang, S., 1998.
"
- NESTEROV , Yurii & TODD , Michael, 1995.
"
**Primal-Dual Interior-Point Methods for Self-Scaled Cones**," CORE Discussion Papers 1995044, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).Cited by:

- Li Yang & Bo Yu, 2013.
"
**A homotopy method for nonlinear semidefinite programming**," Computational Optimization and Applications, Springer, vol. 56(1), pages 81-96, September. - Luo, Z-Q. & Sturm, J.F. & Zhang, S., 1996.
"
**Superlinear convergence of a symmetric primal-dual path following algorithm for semidefinite programming**," Econometric Institute Research Papers 9607/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - F. A. Potra & R. Sheng, 1998.
"
**Superlinear Convergence of Interior-Point Algorithms for Semidefinite Programming**," Journal of Optimization Theory and Applications, Springer, vol. 99(1), pages 103-119, October. - Sturm, J.F., 2002.
"
**Implementation of Interior Point Methods for Mixed Semidefinite and Second Order Cone Optimization Problems**," Discussion Paper 2002-73, Tilburg University, Center for Economic Research. - Luo, Z-Q. & Sturm, J.F. & Zhang, S., 1998.
"
**Conic convex programming and self-dual embedding**," Econometric Institute Research Papers EI 9815, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - Alemseged Weldeyesus & Mathias Stolpe, 2015.
"
**A primal-dual interior point method for large-scale free material optimization**," Computational Optimization and Applications, Springer, vol. 61(2), pages 409-435, June. - NESTEROV, Yu., 2006.
"
**Nonsymmetric potential-reduction methods for general cones**," CORE Discussion Papers 2006034, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). - Berkelaar, A.B. & Sturm, J.F. & Zhang, S., 1996.
"
**Polynomial Primal-Dual Cone Affine Scaling for Semidefinite Programming**," Econometric Institute Research Papers EI 9667-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - A. D'Aspremont, 2003.
"
**Interest rate model calibration using semidefinite Programming**," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(3), pages 183-213. - de Klerk, E. & Peng, J. & Roos, C. & Terlaky, T., 2001.
"
**A scaled Gauss-Newton primal-dual search direction for semidefinite optimization**," Other publications TiSEM 9d85401c-e9d8-45ee-be2d-2, Tilburg University, School of Economics and Management. - Ali Mohammad-Nezhad & Tamás Terlaky, 2017.
"
**A polynomial primal-dual affine scaling algorithm for symmetric conic optimization**," Computational Optimization and Applications, Springer, vol. 66(3), pages 577-600, April. - Sturm, J.F., 2001.
"
**Avoiding Numerical Cancellation in the Interior Point Method for Solving Semidefinite Programs**," Discussion Paper 2001-27, Tilburg University, Center for Economic Research. - Arjan B. Berkelaar & Jos F. Sturm & Shuzhong Zhang, 1997.
"
**Polynomial Primal-Dual Cone Affine Scaling for Semidefinite Programming**," Tinbergen Institute Discussion Papers 97-025/4, Tinbergen Institute. - Luo, Z-Q. & Sturm, J.F. & Zhang, S., 1997.
"
**Duality Results for Conic Convex Programming**," Econometric Institute Research Papers EI 9719/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - Gu, G. & Zangiabadi, M. & Roos, C., 2011.
"
**Full Nesterov-Todd step infeasible interior-point method for symmetric optimization**," European Journal of Operational Research, Elsevier, vol. 214(3), pages 473-484, November. - NESTEROV, Yu., 2006.
"
**Towards nonsymmetric conic optimization**," CORE Discussion Papers 2006028, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

- Li Yang & Bo Yu, 2013.
"
- NESTEROV ., Yurii E. & TODD , Michael J, 1994.
"
**Self-Scaled Cones and Interior-Point Methods in Nonlinear Programming**," CORE Discussion Papers 1994062, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).Cited by:

- Sturm, J.F., 2002.
"
**Implementation of Interior Point Methods for Mixed Semidefinite and Second Order Cone Optimization Problems**," Discussion Paper 2002-73, Tilburg University, Center for Economic Research. - Alemseged Weldeyesus & Mathias Stolpe, 2015.
"
**A primal-dual interior point method for large-scale free material optimization**," Computational Optimization and Applications, Springer, vol. 61(2), pages 409-435, June. - Berkelaar, A.B. & Sturm, J.F. & Zhang, S., 1996.
"
**Polynomial Primal-Dual Cone Affine Scaling for Semidefinite Programming**," Econometric Institute Research Papers EI 9667-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - NESTEROV, Yu., 2006.
"
**Constructing self-concordant barriers for convex cones**," CORE Discussion Papers 2006030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). - Ali Mohammad-Nezhad & Tamás Terlaky, 2017.
"
**A polynomial primal-dual affine scaling algorithm for symmetric conic optimization**," Computational Optimization and Applications, Springer, vol. 66(3), pages 577-600, April. - Maziar Salahi & Renata Sotirov & Tamás Terlaky, 2004.
"
**On self-regular IPMs**," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 12(2), pages 209-275, December. - Sturm, J.F., 2001.
"
**Avoiding Numerical Cancellation in the Interior Point Method for Solving Semidefinite Programs**," Discussion Paper 2001-27, Tilburg University, Center for Economic Research. - Arjan B. Berkelaar & Jos F. Sturm & Shuzhong Zhang, 1997.
"
**Polynomial Primal-Dual Cone Affine Scaling for Semidefinite Programming**," Tinbergen Institute Discussion Papers 97-025/4, Tinbergen Institute. - J.F. Sturm & S. Zhang, 1998.
"
**On Sensitivity of Central Solutions in Semidefinite Programming**," Tinbergen Institute Discussion Papers 98-040/4, Tinbergen Institute. - NESTEROV, Yu., 2006.
"
**Towards nonsymmetric conic optimization**," CORE Discussion Papers 2006028, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

- Sturm, J.F., 2002.
"
- Freund, Robert Michael. & Todd, Michael J., 1947-, 1992.
"
**Barrier functions and interior-point algorithms for linear programming with zero-, one-, or two-sided bounds on the variables**," Working papers 3454-92., Massachusetts Institute of Technology (MIT), Sloan School of Management.- Robert M. Freund & Michael J. Todd, 1995.
"
**Barrier Functions and Interior-Point Algorithms for Linear Programming with Zero-, One-, or Two-Sided Bounds on the Variables**," Mathematics of Operations Research, INFORMS, vol. 20(2), pages 415-440, May.

Cited by:

- Ordónez, Fernando & Freund, Robert M., 2003.
"
**Computational Experience and the Explanatory Value of Condition Numbers for Linear Optimization**," Working papers 4337-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.

- Robert M. Freund & Michael J. Todd, 1995.
"
- Michael J. Todd & Yinyu Ye, 1988.
"
**A Centered Projective Algorithm for Linear Programming**," Cowles Foundation Discussion Papers 861, Cowles Foundation for Research in Economics, Yale University.- Michael J. Todd & Yinyu Ye, 1990.
"
**A Centered Projective Algorithm for Linear Programming**," Mathematics of Operations Research, INFORMS, vol. 15(3), pages 508-529, August.

Cited by:

- Freund, Robert Michael., 1989.
"
**A potential-function reduction algorithm for solving a linear program directly from an infeasible "warm start"**," Working papers 3079-89., Massachusetts Institute of Technology (MIT), Sloan School of Management. - Bertsimas, Dimitris. & Luo, Xiaodong., 1993.
"
**On the worst case complexity of potential reduction algorithms for linear programming**," Working papers 3558-93., Massachusetts Institute of Technology (MIT), Sloan School of Management. - S. Cafieri & M. D’Apuzzo & V. Simone & D. Serafino & G. Toraldo, 2007.
"
**Convergence Analysis of an Inexact Potential Reduction Method for Convex Quadratic Programming**," Journal of Optimization Theory and Applications, Springer, vol. 135(3), pages 355-366, December. - S. Cafieri & M. D’Apuzzo & M. Marino & A. Mucherino & G. Toraldo, 2006.
"
**Interior-Point Solver for Large-Scale Quadratic Programming Problems with Bound Constraints**," Journal of Optimization Theory and Applications, Springer, vol. 129(1), pages 55-75, April.

- Michael J. Todd & Yinyu Ye, 1990.
"
- Freund, Robert Michael. & Roundy, Robin. & Todd, Michael J., 1947-, 1985.
"
**Identifying the set of always-active constraints in a system of linear inequalities by a single linear program**," Working papers 1674-85., Massachusetts Institute of Technology (MIT), Sloan School of Management.Cited by:

- Toubia, Olivier & Simester, Duncan & Hauser, John & Dahan, Ely, 2003.
"
**Fast Polyhedral Adaptive Conjoint Estimation**," Working papers 4279-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.- Toubia, Olivier & Simester, Duncan & Hauser, John & Dahan, Ely, 2003.
"
**Fast Polyhedral Adaptive Conjoint Estimation**," Working papers 4171-01, Massachusetts Institute of Technology (MIT), Sloan School of Management. - Olivier Toubia & Duncan I. Simester & John R. Hauser & Ely Dahan, 2003.
"
**Fast Polyhedral Adaptive Conjoint Estimation**," Marketing Science, INFORMS, vol. 22(3), pages 273-303.

- Toubia, Olivier & Simester, Duncan & Hauser, John & Dahan, Ely, 2003.
"
- Gelareh, Shahin & Neamatian Monemi, Rahimeh & Nickel, Stefan, 2015.
"
**Multi-period hub location problems in transportation**," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 67-94.

- Toubia, Olivier & Simester, Duncan & Hauser, John & Dahan, Ely, 2003.
"
- R. Saigal & M.J. Todd, 1976.
"
**Efficient Acceleration Techniques for Fixed Point Algorithms**," Discussion Papers 261, Northwestern University, Center for Mathematical Studies in Economics and Management Science.- Saigal, R. & Todd, M.J., 1978.
"
**Efficient acceleration techniques for fixed point algorithms**," CORE Discussion Papers RP 344, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

Cited by:

- R. Saigal, 1977.
"
**On Piecewise Linear Approximations to Smooth Mappings**," Discussion Papers 311, Northwestern University, Center for Mathematical Studies in Economics and Management Science.

- Saigal, R. & Todd, M.J., 1978.
"

### Articles

- Michael J. Todd, 2016.
"
**Computation, Multiplicity, and Comparative Statics of Cournot Equilibria in Integers**," Mathematics of Operations Research, INFORMS, vol. 41(3), pages 1125-1134, August.Cited by:

- Sen, Debapriya, 2018.
"
**Potential games, path independence and Poisson's binomial distribution**," MPRA Paper 84409, University Library of Munich, Germany.

- Sen, Debapriya, 2018.
"
- Qiao, Xingye & Zhang, Hao Helen & Liu, Yufeng & Todd, Michael J. & Marron, J. S., 2010.
"
**Weighted Distance Weighted Discrimination and Its Asymptotic Properties**," Journal of the American Statistical Association, American Statistical Association, vol. 105(489), pages 401-414.Cited by:

- Jung, Sungkyu & Sen, Arusharka & Marron, J.S., 2012.
"
**Boundary behavior in High Dimension, Low Sample Size asymptotics of PCA**," Journal of Multivariate Analysis, Elsevier, vol. 109(C), pages 190-203. - Bolivar-Cime, A. & Marron, J.S., 2013.
"
**Comparison of binary discrimination methods for high dimension low sample size data**," Journal of Multivariate Analysis, Elsevier, vol. 115(C), pages 108-121. - Sungkyu Jung & Xingye Qiao, 2014.
"
**A statistical approach to set classification by feature selection with applications to classification of histopathology images**," Biometrics, The International Biometric Society, vol. 70(3), pages 536-545, September. - Anil K. Ghosh & Munmun Biswas, 2016.
"
**Distribution-free high-dimensional two-sample tests based on discriminating hyperplanes**," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 525-547, September. - Lee, Myung Hee, 2012.
"
**On the border of extreme and mild spiked models in the HDLSS framework**," Journal of Multivariate Analysis, Elsevier, vol. 107(C), pages 162-168. - Borysov, Petro & Hannig, Jan & Marron, J.S., 2014.
"
**Asymptotics of hierarchical clustering for growing dimension**," Journal of Multivariate Analysis, Elsevier, vol. 124(C), pages 465-479.

- Jung, Sungkyu & Sen, Arusharka & Marron, J.S., 2012.
"
- Marron, J.S. & Todd, Michael J. & Ahn, Jeongyoun, 2007.
"
**Distance-Weighted Discrimination**," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 1267-1271, December.Cited by:

- Makoto Aoshima & Kazuyoshi Yata, 2014.
"
**A distance-based, misclassification rate adjusted classifier for multiclass, high-dimensional data**," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 66(5), pages 983-1010, October. - Sungkyu Jung & Xingye Qiao, 2014.
"
**A statistical approach to set classification by feature selection with applications to classification of histopathology images**," Biometrics, The International Biometric Society, vol. 70(3), pages 536-545, September. - Marron, J.S., 2017.
"
**Big Data in context and robustness against heterogeneity**," Econometrics and Statistics, Elsevier, vol. 2(C), pages 73-80. - Anil K. Ghosh & Munmun Biswas, 2016.
"
**Distribution-free high-dimensional two-sample tests based on discriminating hyperplanes**," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 525-547, September. - Niladri Roy Chowdhury & Dianne Cook & Heike Hofmann & Mahbubul Majumder & Eun-Kyung Lee & Amy Toth, 2015.
"
**Using visual statistical inference to better understand random class separations in high dimension, low sample size data**," Computational Statistics, Springer, vol. 30(2), pages 293-316, June. - Peña Sánchez de Rivera, Daniel & Lillo Rodríguez, Rosa Elvira & Giuliodori, Andrea, 2009.
"
**Clustering and classifying images with local and global variability**," DES - Working Papers. Statistics and Econometrics. WS ws090101, Universidad Carlos III de Madrid. Departamento de Estadística.

- Makoto Aoshima & Kazuyoshi Yata, 2014.
"
- A. Fostel & H. Scarf & M. Todd, 2004.
"
**Two new proofs of Afriat’s theorem**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 211-219, July.See citations under working paper version above.- Herbert E. Scarf & Ana Fostel & Michael J. Todd, 2004.
"
**Two New Proofs of Afriat's Theorem**," Yale School of Management Working Papers ysm377, Yale School of Management. - M.J. Todd & A. Fostel & H.E. Scarf, 2004.
"
**Two New Proofs of Afriat's Theorem**," Econometric Society 2004 North American Summer Meetings 632, Econometric Society. - Anna Fostel & Herbert E. Scarf & Michael J. Todd, 2003.
"
**Two New Proofs of Afriat's Theorem**," Cowles Foundation Discussion Papers 1415, Cowles Foundation for Research in Economics, Yale University.

- Herbert E. Scarf & Ana Fostel & Michael J. Todd, 2004.
"
- Yu. E. Nesterov & M. J. Todd, 1997.
"
**Self-Scaled Barriers and Interior-Point Methods for Convex Programming**," Mathematics of Operations Research, INFORMS, vol. 22(1), pages 1-42, February.Cited by:

- M. Sayadi Shahraki & H. Mansouri & M. Zangiabadi, 2017.
"
**Two wide neighborhood interior-point methods for symmetric cone optimization**," Computational Optimization and Applications, Springer, vol. 68(1), pages 29-55, September. - Chee-Khian Sim, 2011.
"
**Asymptotic Behavior of Underlying NT Paths in Interior Point Methods for Monotone Semidefinite Linear Complementarity Problems**," Journal of Optimization Theory and Applications, Springer, vol. 148(1), pages 79-106, January. - Sungwoo Park & Dianne P. O’Leary, 2015.
"
**A Polynomial Time Constraint-Reduced Algorithm for Semidefinite Optimization Problems**," Journal of Optimization Theory and Applications, Springer, vol. 166(2), pages 558-571, August. - Baha Alzalg, 2014.
"
**Homogeneous Self-dual Algorithms for Stochastic Second-Order Cone Programming**," Journal of Optimization Theory and Applications, Springer, vol. 163(1), pages 148-164, October. - Behrouz Kheirfam, 2015.
"
**A Corrector–Predictor Path-Following Method for Convex Quadratic Symmetric Cone Optimization**," Journal of Optimization Theory and Applications, Springer, vol. 164(1), pages 246-260, January. - Héctor Ramírez & David Sossa, 2017.
"
**On the Central Paths in Symmetric Cone Programming**," Journal of Optimization Theory and Applications, Springer, vol. 172(2), pages 649-668, February. - J. Peng & C. Roos & T. Terlaky, 2001.
"
**New Complexity Analysis of the Primal–Dual Method for Semidefinite Optimization Based on the Nesterov–Todd Direction**," Journal of Optimization Theory and Applications, Springer, vol. 109(2), pages 327-343, May. - G. Q. Wang & Y. Q. Bai, 2012.
"
**A Class of Polynomial Interior Point Algorithms for the Cartesian P-Matrix Linear Complementarity Problem over Symmetric Cones**," Journal of Optimization Theory and Applications, Springer, vol. 152(3), pages 739-772, March. - Ximei Yang & Hongwei Liu & Yinkui Zhang, 2015.
"
**A New Strategy in the Complexity Analysis of an Infeasible-Interior-Point Method for Symmetric Cone Programming**," Journal of Optimization Theory and Applications, Springer, vol. 166(2), pages 572-587, August. - Xinfu Liu & Zuojun Shen, 2016.
"
**Rapid Smooth Entry Trajectory Planning for High Lift/Drag Hypersonic Glide Vehicles**," Journal of Optimization Theory and Applications, Springer, vol. 168(3), pages 917-943, March. - Changhe Liu & Hongwei Liu & Xinze Liu, 2012.
"
**Polynomial Convergence of Second-Order Mehrotra-Type Predictor-Corrector Algorithms over Symmetric Cones**," Journal of Optimization Theory and Applications, Springer, vol. 154(3), pages 949-965, September. - Yasushi Narushima & Nobuko Sagara & Hideho Ogasawara, 2011.
"
**A Smoothing Newton Method with Fischer-Burmeister Function for Second-Order Cone Complementarity Problems**," Journal of Optimization Theory and Applications, Springer, vol. 149(1), pages 79-101, April. - G. Q. Wang & Y. Q. Bai & X. Y. Gao & D. Z. Wang, 2015.
"
**Improved Complexity Analysis of Full Nesterov–Todd Step Interior-Point Methods for Semidefinite Optimization**," Journal of Optimization Theory and Applications, Springer, vol. 165(1), pages 242-262, April. - de Klerk, E. & Peng, J. & Roos, C. & Terlaky, T., 2001.
"
**A scaled Gauss-Newton primal-dual search direction for semidefinite optimization**," Other publications TiSEM 9d85401c-e9d8-45ee-be2d-2, Tilburg University, School of Economics and Management. - G. Lesaja & C. Roos, 2011.
"
**Kernel-Based Interior-Point Methods for Monotone Linear Complementarity Problems over Symmetric Cones**," Journal of Optimization Theory and Applications, Springer, vol. 150(3), pages 444-474, September. - B.V. Halldórsson & R.H. Tütüncü, 2003.
"
**An Interior-Point Method for a Class of Saddle-Point Problems**," Journal of Optimization Theory and Applications, Springer, vol. 116(3), pages 559-590, March. - M. Zangiabadi & G. Gu & C. Roos, 2013.
"
**A Full Nesterov–Todd Step Infeasible Interior-Point Method for Second-Order Cone Optimization**," Journal of Optimization Theory and Applications, Springer, vol. 158(3), pages 816-858, September. - Ali Mohammad-Nezhad & Tamás Terlaky, 2017.
"
**A polynomial primal-dual affine scaling algorithm for symmetric conic optimization**," Computational Optimization and Applications, Springer, vol. 66(3), pages 577-600, April. - G. Q. Wang & Y. Q. Bai, 2012.
"
**A New Full Nesterov–Todd Step Primal–Dual Path-Following Interior-Point Algorithm for Symmetric Optimization**," Journal of Optimization Theory and Applications, Springer, vol. 154(3), pages 966-985, September. - G. Q. Wang & L. C. Kong & J. Y. Tao & G. Lesaja, 2015.
"
**Improved Complexity Analysis of Full Nesterov–Todd Step Feasible Interior-Point Method for Symmetric Optimization**," Journal of Optimization Theory and Applications, Springer, vol. 166(2), pages 588-604, August. - H. H. Bauschke & S. G. Kruk, 2004.
"
**Reflection-Projection Method for Convex Feasibility Problems with an Obtuse Cone**," Journal of Optimization Theory and Applications, Springer, vol. 120(3), pages 503-531, March. - Hongwei Liu & Ximei Yang & Changhe Liu, 2013.
"
**A New Wide Neighborhood Primal–Dual Infeasible-Interior-Point Method for Symmetric Cone Programming**," Journal of Optimization Theory and Applications, Springer, vol. 158(3), pages 796-815, September.

- M. Sayadi Shahraki & H. Mansouri & M. Zangiabadi, 2017.
"
- Shinji Mizuno & Michael J. Todd & Yinyu Ye, 1995.
"
**A Surface of Analytic Centers and Primal-Dual Infeasible-Interior-Point Algorithms for Linear Programming**," Mathematics of Operations Research, INFORMS, vol. 20(1), pages 135-162, February.Cited by:

- Holder, A.G. & Sturm, J.F. & Zhang, S., 1998.
"
**Analytic central path, sensitivity analysis and parametric linear programming**," Econometric Institute Research Papers EI 9801, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - A.G. Holder & J.F. Sturm & S. Zhang, 1998.
"
**Analytic Central Path, Sensitivity Analysis and Parametric Linear Programming**," Tinbergen Institute Discussion Papers 98-003/4, Tinbergen Institute.

- Holder, A.G. & Sturm, J.F. & Zhang, S., 1998.
"
- Robert M. Freund & Michael J. Todd, 1995.
"See citations under working paper version above.
- Freund, Robert Michael. & Todd, Michael J., 1947-, 1992.
"

- Freund, Robert Michael. & Todd, Michael J., 1947-, 1992.
"
- Yinyu Ye & Michael J. Todd & Shinji Mizuno, 1994.
"
**An O(√nL)-Iteration Homogeneous and Self-Dual Linear Programming Algorithm**," Mathematics of Operations Research, INFORMS, vol. 19(1), pages 53-67, February.Cited by:

- Berkelaar, A.B. & Dert, C.L. & Oldenkamp, K.P.B. & Zhang, S., 1999.
"
**A primal-dual decomposition based interior point approach to two-stage stochastic linear programming**," Econometric Institute Research Papers EI 9918-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - de Klerk, E. & Roos, C. & Terlaky, T., 1997.
"
**Initialization in semidefinite programming via a self-dual, skew-symmetric embedding**," Other publications TiSEM aa045849-1e10-4f84-96ca-4, Tilburg University, School of Economics and Management. - Thomas Schmelzer & Raphael Hauser & Erling Andersen & Joachim Dahl, 2013.
"
**Regression techniques for Portfolio Optimisation using MOSEK**," Papers 1310.3397, arXiv.org. - Sturm, J.F., 2002.
"
**Implementation of Interior Point Methods for Mixed Semidefinite and Second Order Cone Optimization Problems**," Discussion Paper 2002-73, Tilburg University, Center for Economic Research. - Luo, Z-Q. & Sturm, J.F. & Zhang, S., 1998.
"
**Conic convex programming and self-dual embedding**," Econometric Institute Research Papers EI 9815, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - Freund, Robert Michael. & Mizuno, Shinji., 1996.
"
**Interior point methods : current status and future directions**," Working papers 3924-96., Massachusetts Institute of Technology (MIT), Sloan School of Management. - Zhang, S., 2002.
"
**An interior-point and decomposition approach to multiple stage stochastic programming**," Econometric Institute Research Papers EI 2002-35, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - Berkelaar, Arjan & Dert, Cees & Oldenkamp, Bart, 1999.
"
**A primal-dual decompsition-based interior point approach to two-stage stochastic linear programming**," Serie Research Memoranda 0026, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics. - Coralia Cartis & Yiming Yan, 2016.
"
**Active-set prediction for interior point methods using controlled perturbations**," Computational Optimization and Applications, Springer, vol. 63(3), pages 639-684, April. - Sturm, J.F., 2001.
"
**Avoiding Numerical Cancellation in the Interior Point Method for Solving Semidefinite Programs**," Discussion Paper 2001-27, Tilburg University, Center for Economic Research. - Brendan O’Donoghue & Eric Chu & Neal Parikh & Stephen Boyd, 2016.
"
**Conic Optimization via Operator Splitting and Homogeneous Self-Dual Embedding**," Journal of Optimization Theory and Applications, Springer, vol. 169(3), pages 1042-1068, June.

- Berkelaar, A.B. & Dert, C.L. & Oldenkamp, K.P.B. & Zhang, S., 1999.
"
- Shinji Mizuno & Michael J. Todd & Yinyu Ye, 1993.
"
**On Adaptive-Step Primal-Dual Interior-Point Algorithms for Linear Programming**," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 964-981, November.Cited by:

- M. Sayadi Shahraki & H. Mansouri & M. Zangiabadi, 2017.
"
**Two wide neighborhood interior-point methods for symmetric cone optimization**," Computational Optimization and Applications, Springer, vol. 68(1), pages 29-55, September. - M. Sayadi Shahraki & H. Mansouri & M. Zangiabadi, 2016.
"
**A New Primal–Dual Predictor–Corrector Interior-Point Method for Linear Programming Based on a Wide Neighbourhood**," Journal of Optimization Theory and Applications, Springer, vol. 170(2), pages 546-561, August. - Zhongyi Liu & Yue Chen & Wenyu Sun & Zhihui Wei, 2012.
"
**A Predictor-corrector algorithm with multiple corrections for convex quadratic programming**," Computational Optimization and Applications, Springer, vol. 52(2), pages 373-391, June. - Behrouz Kheirfam, 2014.
"
**A New Complexity Analysis for Full-Newton Step Infeasible Interior-Point Algorithm for Horizontal Linear Complementarity Problems**," Journal of Optimization Theory and Applications, Springer, vol. 161(3), pages 853-869, June. - Behrouz Kheirfam, 2015.
"
**A Corrector–Predictor Path-Following Method for Convex Quadratic Symmetric Cone Optimization**," Journal of Optimization Theory and Applications, Springer, vol. 164(1), pages 246-260, January. - Luo, Z-Q. & Sturm, J.F. & Zhang, S., 1996.
"
**Superlinear convergence of a symmetric primal-dual path following algorithm for semidefinite programming**," Econometric Institute Research Papers 9607/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - M. Salahi & T. Terlaky, 2007.
"
**Adaptive Large-Neighborhood Self-Regular Predictor-Corrector Interior-Point Methods for Linear Optimization**," Journal of Optimization Theory and Applications, Springer, vol. 132(1), pages 143-160, January. - F. A. Potra & R. Sheng, 1998.
"
**Superlinear Convergence of Interior-Point Algorithms for Semidefinite Programming**," Journal of Optimization Theory and Applications, Springer, vol. 99(1), pages 103-119, October. - Sturm, J.F., 2002.
"
- F. A. Potra & R. Sheng, 1998.
"
**Superlinearly Convergent Infeasible-Interior-Point Algorithm for Degenerate LCP**," Journal of Optimization Theory and Applications, Springer, vol. 97(2), pages 249-269, May. - Filiz Gurtuna & Cosmin Petra & Florian Potra & Olena Shevchenko & Adrian Vancea, 2011.
"
**Corrector-predictor methods for sufficient linear complementarity problems**," Computational Optimization and Applications, Springer, vol. 48(3), pages 453-485, April. - Yaguang Yang, 2013.
"
**A Polynomial Arc-Search Interior-Point Algorithm for Linear Programming**," Journal of Optimization Theory and Applications, Springer, vol. 158(3), pages 859-873, September. - Zhang, S., 2002.
"
**An interior-point and decomposition approach to multiple stage stochastic programming**," Econometric Institute Research Papers EI 2002-35, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - G. Y. Zhao, 1999.
"
**Interior-Point Methods with Decomposition for Solving Large-Scale Linear Programs**," Journal of Optimization Theory and Applications, Springer, vol. 102(1), pages 169-192, July. - Maziar Salahi & Renata Sotirov & Tamás Terlaky, 2004.
"
**On self-regular IPMs**," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 12(2), pages 209-275, December. - Y. B. Zhao & J. Y. Han, 1999.
"
**Two Interior-Point Methods for Nonlinear P *(τ)-Complementarity Problems**," Journal of Optimization Theory and Applications, Springer, vol. 102(3), pages 659-679, September.

- M. Sayadi Shahraki & H. Mansouri & M. Zangiabadi, 2017.
"
- Michael J. Todd, 1990.
"
**A Dantzig-Wolfe-Like Variant of Karmarkar's Interior-Point Linear Programming Algorithm**," Operations Research, INFORMS, vol. 38(6), pages 1006-1018, December.Cited by:

- Holder, A.G. & Sturm, J.F. & Zhang, S., 1998.
"
**Analytic central path, sensitivity analysis and parametric linear programming**," Econometric Institute Research Papers EI 9801, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - Zhang, S., 1998.
"
**Global error bounds for convex conic problems**," Econometric Institute Research Papers EI 9830, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute. - A.G. Holder & J.F. Sturm & S. Zhang, 1998.
"
**Analytic Central Path, Sensitivity Analysis and Parametric Linear Programming**," Tinbergen Institute Discussion Papers 98-003/4, Tinbergen Institute. - J.F. Sturm & S. Zhang, 1998.
"
**On Sensitivity of Central Solutions in Semidefinite Programming**," Tinbergen Institute Discussion Papers 98-040/4, Tinbergen Institute. - Li-Zhi Liao, 2014.
"
**A Study of the Dual Affine Scaling Continuous Trajectories for Linear Programming**," Journal of Optimization Theory and Applications, Springer, vol. 163(2), pages 548-568, November.

- Holder, A.G. & Sturm, J.F. & Zhang, S., 1998.
"
- Michael J. Todd & Yinyu Ye, 1990.
"
**A Centered Projective Algorithm for Linear Programming**," Mathematics of Operations Research, INFORMS, vol. 15(3), pages 508-529, August.See citations under working paper version above.- Michael J. Todd & Yinyu Ye, 1988.
"
**A Centered Projective Algorithm for Linear Programming**," Cowles Foundation Discussion Papers 861, Cowles Foundation for Research in Economics, Yale University.

- Michael J. Todd & Yinyu Ye, 1988.
"
- Clyde L. Monma & Alexander Schrijver & Michael J. Todd & Victor K. Wei, 1990.
"
**Convex Resource Allocation Problems on Directed Acyclic Graphs: Duality, Complexity, Special Cases, and Extensions**," Mathematics of Operations Research, INFORMS, vol. 15(4), pages 736-748, November.Cited by:

- Dvir Shabtay & George Steiner, 2007.
"
**Optimal Due Date Assignment and Resource Allocation to Minimize the Weighted Number of Tardy Jobs on a Single Machine**," Manufacturing & Service Operations Management, INFORMS, vol. 9(3), pages 332-350, March. - Shabtay, Dvir & Zofi, Moshe, 2018.
"
**Single machine scheduling with controllable processing times and an unavailability period to minimize the makespan**," International Journal of Production Economics, Elsevier, vol. 198(C), pages 191-200. - Yedidsion, Liron & Shabtay, Dvir, 2017.
"
**The resource dependent assignment problem with a convex agent cost function**," European Journal of Operational Research, Elsevier, vol. 261(2), pages 486-502. - Dolgui, Alexandre & Kovalev, Sergey & Kovalyov, Mikhail Y. & Malyutin, Sergey & Soukhal, Ameur, 2018.
"
**Optimal workforce assignment to operations of a paced assembly line**," European Journal of Operational Research, Elsevier, vol. 264(1), pages 200-211. - Moshe Zofi & Ron Teller & Moshe Kaspi, 2017.
"
**Maximizing the profit per unit of time for the TSP with convex resource-dependent travelling times**," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(10), pages 1177-1182, October.

- Dvir Shabtay & George Steiner, 2007.
"
- Michael J. Todd, 1988.
"
**Improved Bounds and Containing Ellipsoids in Karmarkar's Linear Programming Algorithm**," Mathematics of Operations Research, INFORMS, vol. 13(4), pages 650-659, November.Cited by:

- J. L. Goffin & F. Sharifi-Mokhtarian, 1999.
"
**Primal–Dual–Infeasible Newton Approach for the Analytic Center Deep-Cutting Plane Method**," Journal of Optimization Theory and Applications, Springer, vol. 101(1), pages 35-58, April. - Freund, Robert Michael., 1987.
"
**An analog of Karmarkar's algorithm for inequality constrained linear programs, with a "new" class of projective transformations for centering a polytope**," Working papers 1921-87., Massachusetts Institute of Technology (MIT), Sloan School of Management.

- J. L. Goffin & F. Sharifi-Mokhtarian, 1999.
"
- Robert G. Bland & Donald Goldfarb & Michael J. Todd, 1981.
"
**Feature Article—The Ellipsoid Method: A Survey**," Operations Research, INFORMS, vol. 29(6), pages 1039-1091, December.Cited by:

- Yaguang Yang, 2013.
"
**A Polynomial Arc-Search Interior-Point Algorithm for Linear Programming**," Journal of Optimization Theory and Applications, Springer, vol. 158(3), pages 859-873, September. - V. Balakrishnan & R. L. Kashyap, 1999.
"
**Robust Stability and Performance Analysis of Uncertain Systems Using Linear Matrix Inequalities**," Journal of Optimization Theory and Applications, Springer, vol. 100(3), pages 457-478, March. - K. A. Ariyawansa & P. L. Jiang, 2000.
"
**On Complexity of the Translational-Cut Algorithm for Convex Minimax Problems**," Journal of Optimization Theory and Applications, Springer, vol. 107(2), pages 223-243, November.

- Yaguang Yang, 2013.
"
- Robert B. Rovinsky & Christine A. Shoemaker & Michael J. Todd, 1980.
"
**Determining Optimal Use of Resources among Regional Producers under Differing Levels of Cooperation**," Operations Research, INFORMS, vol. 28(4), pages 859-866, August.Cited by:

- Jang, Joonkyung, 1992.
"
**A spatial equilibrium analysis of the impact of transportation costs and policy changes on the export of U.S. beef and feed grains**," ISU General Staff Papers 1992010108000017632, Iowa State University, Department of Economics.

- Jang, Joonkyung, 1992.
"
- Todd, Michael J., 1979.
"
**A note on computing equilibria in economies with activity analysis models of production**," Journal of Mathematical Economics, Elsevier, vol. 6(2), pages 135-144, July.Cited by:

- Galeazzo Impicciatore & Luca Panaccione, 2007.
"
**A Note on Equilibrium with Capital Goods, Storage and Production**," Working Papers 99, University of Rome La Sapienza, Department of Public Economics. - Galeazzo Impicciatore & Luca Panaccione & Francesco Ruscitti, 2012.
"
**Walras’ theory of capital formation: an intertemporal equilibrium reformulation**," Journal of Economics, Springer, vol. 106(2), pages 99-118, June. - Galeazzo Impicciatore & Luca Panaccione & Francesco Ruscitti, 2009.
"
**Intertemporal Equilibrium and Walras' Theory of Capital: a Projection Based Approach**," Working Papers 121, University of Rome La Sapienza, Department of Public Economics.

- Galeazzo Impicciatore & Luca Panaccione, 2007.
"
- Michael J. Todd, 1976.
"
**Orientation in Complementary Pivot Algorithms**," Mathematics of Operations Research, INFORMS, vol. 1(1), pages 54-66, February.Cited by:

- Tim Roughgarden, 2010.
"
**Computing equilibria: a computational complexity perspective**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 193-236, January.

- Tim Roughgarden, 2010.
"

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