On Well Definedness of the Central Path
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DOI: 10.1023/A:1021768121263
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References listed on IDEAS
- de GHELLINCK, Guy & VIAL, Jean-Philippe, 1986. "A polynomial Newton method for linear programming," LIDAM Reprints CORE 724, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Nimrod Megiddo & Michael Shub, 1989. "Boundary Behavior of Interior Point Algorithms in Linear Programming," Mathematics of Operations Research, INFORMS, vol. 14(1), pages 97-146, February.
- de GHELLI NCK, G. & VIAL, J.-Ph., 1986. "A polynomial Newton method for linear programming," LIDAM Discussion Papers CORE 1986014, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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Cited by:
- M. Paul Laiu & André L. Tits, 2019. "A constraint-reduced MPC algorithm for convex quadratic programming, with a modified active set identification scheme," Computational Optimization and Applications, Springer, vol. 72(3), pages 727-768, April.
- María J. Cánovas & Marco A. López & Juan Parra & F. Javier Toledo, 2006. "Lipschitz Continuity of the Optimal Value via Bounds on the Optimal Set in Linear Semi-Infinite Optimization," Mathematics of Operations Research, INFORMS, vol. 31(3), pages 478-489, August.
- Roger Behling & Clovis Gonzaga & Gabriel Haeser, 2014. "Primal-Dual Relationship Between Levenberg–Marquardt and Central Trajectories for Linearly Constrained Convex Optimization," Journal of Optimization Theory and Applications, Springer, vol. 162(3), pages 705-717, September.
- Pedro Borges & Claudia Sagastizábal & Mikhail Solodov, 2021. "Decomposition Algorithms for Some Deterministic and Two-Stage Stochastic Single-Leader Multi-Follower Games," Computational Optimization and Applications, Springer, vol. 78(3), pages 675-704, April.
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Keywords
Convex programming; linear constraints; central path; logarithmic barrier function; analytic center;All these keywords.
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