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Local path-following property of inexact interior methods in nonlinear programming

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  • Paul Armand
  • Joël Benoist
  • Jean-Pierre Dussault

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  • Paul Armand & Joël Benoist & Jean-Pierre Dussault, 2012. "Local path-following property of inexact interior methods in nonlinear programming," Computational Optimization and Applications, Springer, vol. 52(1), pages 209-238, May.
    • Handle: RePEc:spr:coopap:v:52:y:2012:i:1:p:209-238
    DOI: 10.1007/s10589-011-9406-2
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    References listed on IDEAS

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    1. Roland W. Freund & Florian Jarre & Shinji Mizuno, 1999. "Convergence of a Class of Inexact Interior-Point Algorithms for Linear Programs," Mathematics of Operations Research, INFORMS, vol. 24(1), pages 50-71, February.
    2. S. Bellavia, 1998. "Inexact Interior-Point Method," Journal of Optimization Theory and Applications, Springer, vol. 96(1), pages 109-121, January.
    3. G. Al-Jeiroudi & J. Gondzio, 2009. "Convergence Analysis of the Inexact Infeasible Interior-Point Method for Linear Optimization," Journal of Optimization Theory and Applications, Springer, vol. 141(2), pages 231-247, May.
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    Cited by:

    1. Paul Armand & Ngoc Nguyen Tran, 2021. "Local Convergence Analysis of a Primal–Dual Method for Bound-Constrained Optimization Without SOSC," Journal of Optimization Theory and Applications, Springer, vol. 189(1), pages 96-116, April.
    2. Benedetta Morini & Valeria Simoncini, 2017. "Stability and Accuracy of Inexact Interior Point Methods for Convex Quadratic Programming," Journal of Optimization Theory and Applications, Springer, vol. 175(2), pages 450-477, November.
    3. David Ek & Anders Forsgren, 2023. "A structured modified Newton approach for solving systems of nonlinear equations arising in interior-point methods for quadratic programming," Computational Optimization and Applications, Springer, vol. 86(1), pages 1-48, September.

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