# Solving discrete systems of nonlinear equations

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## Abstract

## Suggested Citation

**Solving discrete systems of nonlinear equations**," European Journal of Operational Research, Elsevier, vol. 214(3), pages 493-500, November.

*RePEc:eee:ejores:v:214:y:2011:i:3:p:493-500*

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## Other versions of this item:

- Gerard van der Laan & Dolf Talman & Zaifu Yang, 2009.
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**Solving Discrete Systems of Nonlinear Equations**," Tinbergen Institute Discussion Papers 09-062/1, Tinbergen Institute. - van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2008.
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**Solving Discrete Systems of Nonlinear Equations**," Discussion Paper 2008-105, Tilburg University, Center for Economic Research. - van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2011.
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**Solving discrete systems of nonlinear equations**," Other publications TiSEM 81f0a46c-3c9d-4757-bfa1-0, Tilburg University, School of Economics and Management.

## References listed on IDEAS

- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2005.
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**Computing Integral Solutions of Complementarity Problems**," Discussion Paper 2005-5, Tilburg University, Center for Economic Research.- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2007.
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**Computing integral solutions of complementarity problems**," Other publications TiSEM 6f3abdc6-b961-4466-8e60-2, Tilburg University, School of Economics and Management. - Gerard van der Laan & Dolf Talman & Zaifu Yang, 2005.
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**Computing Integral Solutions of Complementarity Problems**," Tinbergen Institute Discussion Papers 05-006/1, Tinbergen Institute.

- van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2007.
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- Talman, A.J.J. & Yang, Z.F., 2009.
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**A discrete multivariate mean value theorem with applications**," Other publications TiSEM d48f2a19-dcc2-40e4-9085-5, Tilburg University, School of Economics and Management. - van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2007.
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**A vector labeling method for solving discrete zero point and complementarity problems**," Other publications TiSEM 070869d0-4e42-4d34-85f9-b, Tilburg University, School of Economics and Management. - Herings P. Jean-Jacques & Koshevoy Gleb A. & Talman Dolf & Yang Zaifu, 2002.
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**A General Existence Theorem of Zero Points**," Research Memorandum 055, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).- Herings, P. Jean-Jacques, 2017.
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**A general existence theorem of zero points**," Center for Mathematical Economics Working Papers 343, Center for Mathematical Economics, Bielefeld University. - Herings, P.J.J. & Koshevoy, G.A. & Talman, A.J.J. & Yang, Z.F., 2002.
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**A General Existence Thorem of Zero Points**," Discussion Paper 2002-107, Tilburg University, Center for Economic Research. - Herings, P.J.J. & Koshevoy, G.A. & Talman, A.J.J. & Yang, Z.F., 2004.
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**A general existence theorem of zero points**," Other publications TiSEM 2670fc3a-b991-4443-a8fb-3, Tilburg University, School of Economics and Management.

- Herings, P. Jean-Jacques, 2017.
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- Talman, Dolf & Yang, Zaifu, 2009.
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**A discrete multivariate mean value theorem with applications**," European Journal of Operational Research, Elsevier, vol. 192(2), pages 374-381, January.- Talman, A.J.J. & Yang, Z.F., 2006.
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**A Discrete Multivariate Mean Value Theorem with Applications**," Discussion Paper 2006-106, Tilburg University, Center for Economic Research.

- Talman, A.J.J. & Yang, Z.F., 2006.
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- Herings, P.J.J. & Talman, A.J.J. & Yang, Z.F., 1999.
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**Variational Inequality Problems With a Continuum of Solutions : Existence and Computation**," Discussion Paper 1999-72, Tilburg University, Center for Economic Research.- Herings, P.J.J. & Talman, A.J.J. & Yang, Z.F., 2001.
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**Variational inequality problems with a continuum of solutions : Existence and computation**," Other publications TiSEM 50bc0af9-976f-4c1c-94e0-f, Tilburg University, School of Economics and Management.

- Herings, P.J.J. & Talman, A.J.J. & Yang, Z.F., 2001.
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- Iimura, Takuya, 2003.
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**A discrete fixed point theorem and its applications**," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 725-742, September. - Iimura, Takuya & Murota, Kazuo & Tamura, Akihisa, 2005.
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**Discrete fixed point theorem reconsidered**," Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 1030-1036, December. - Herbert E. Scarf, 1967.
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**The Approximation of Fixed Points of a Continuous Mapping**," Cowles Foundation Discussion Papers 216R, Cowles Foundation for Research in Economics, Yale University. - Talman, A.J.J. & van der Laan, G., 1979.
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**A restart algorithm for computing fixed points without an extra dimension**," Other publications TiSEM 1f2102f8-e6da-4e9c-a2ed-9, Tilburg University, School of Economics and Management.

**Full references**(including those not matched with items on IDEAS)

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## More about this item

### Keywords

Discrete system of equations Triangulation Simplicial algorithm Fixed point Zero point;### JEL classification:

**C61**- Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis**C62**- Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium**C68**- Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models**C72**- Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games**C58**- Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

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