A primal—dual affine-scaling potential-reduction algorithm for linear programming

Shinji Mizuno; Atsushi Nagasawa

doi:10.1007/bf01585163

A primal—dual affine-scaling potential-reduction algorithm for linear programming

Mathematical Programming ◽

10.1007/bf01585163 ◽

1993 ◽

Vol 62 (1-3) ◽

pp. 119-131 ◽

Cited By ~ 14

Author(s):

Shinji Mizuno ◽

Atsushi Nagasawa

Keyword(s):

Linear Programming ◽

Affine Scaling ◽

Reduction Algorithm ◽

Potential Reduction ◽

Potential Reduction Algorithm ◽

Scaling Potential ◽

Dual Affine ◽

Primal Dual

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An infeasible-interior-point potential-reduction algorithm for linear programming

Mathematical Programming ◽

10.1007/s101070050091 ◽

1999 ◽

Vol 86 (2) ◽

pp. 313-334 ◽

Cited By ~ 3

Author(s):

Reha H. Tütüncü

Keyword(s):

Linear Programming ◽

Interior Point ◽

Reduction Algorithm ◽

Potential Reduction ◽

Point Potential ◽

Potential Reduction Algorithm

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An 𝑂(𝑛³𝐿) potential reduction algorithm for linear programming

Mathematical Developments Arising from Linear Programming - Contemporary Mathematics ◽

10.1090/conm/114/1097867 ◽

1990 ◽

pp. 91-107 ◽

Cited By ~ 3

Author(s):

Yinyu Ye

Keyword(s):

Linear Programming ◽

Reduction Algorithm ◽

Potential Reduction ◽

Potential Reduction Algorithm

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Computational experience with a modified potential reduction algorithm for linear programming

Optimization Methods and Software ◽

10.1080/10556788.2011.634911 ◽

2012 ◽

Vol 27 (4-5) ◽

pp. 865-891 ◽

Cited By ~ 4

Author(s):

Sanjay Mehrotra ◽

Kuo-Ling Huang

Keyword(s):

Linear Programming ◽

Computational Experience ◽

Reduction Algorithm ◽

Potential Reduction ◽

Potential Reduction Algorithm

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On the length of primal-dual projection of potential reduction algorithm

Optimization ◽

10.1080/02331939508844102 ◽

1995 ◽

Vol 34 (2) ◽

pp. 161-171

Author(s):

S. Huang ◽

K. O. Kortanek

Keyword(s):

Reduction Algorithm ◽

Potential Reduction ◽

Potential Reduction Algorithm ◽

Primal Dual ◽

Dual Projection

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Primal-dual potential reduction algorithm for symmetric programming problems with nonlinear objective functions

Linear Algebra and its Applications ◽

10.1016/j.laa.2017.09.017 ◽

2018 ◽

Vol 536 ◽

pp. 228-249 ◽

Cited By ~ 1

Author(s):

Leonid Faybusovich

Keyword(s):

Reduction Algorithm ◽

Objective Functions ◽

Potential Reduction ◽

Potential Reduction Algorithm ◽

Primal Dual ◽

Symmetric Programming

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Extensions of the potential reduction algorithm for linear programming

Journal of Optimization Theory and Applications ◽

10.1007/bf00939838 ◽

1992 ◽

Vol 72 (3) ◽

pp. 487-498 ◽

Cited By ~ 2

Author(s):

Y. Y. Ye

Keyword(s):

Linear Programming ◽

Reduction Algorithm ◽

Potential Reduction ◽

Potential Reduction Algorithm

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A Short-Cut Potential Reduction Algorithm for Linear Programming

Management Science ◽

10.1287/mnsc.39.6.757 ◽

1993 ◽

Vol 39 (6) ◽

pp. 757-776 ◽

Cited By ~ 18

Author(s):

John A. Kaliski ◽

Yinyu Ye

Keyword(s):

Linear Programming ◽

Reduction Algorithm ◽

Potential Reduction ◽

Potential Reduction Algorithm

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An O(n 3 L) primal—dual potential reduction algorithm for solving convex quadratic programs

Mathematical Programming ◽

10.1007/bf01582145 ◽

1993 ◽

Vol 61 (1-3) ◽

pp. 161-170 ◽

Cited By ~ 6

Author(s):

Donald Goldfarb ◽

Shucheng Liu

Keyword(s):

Reduction Algorithm ◽

Quadratic Programs ◽

Potential Reduction ◽

Potential Reduction Algorithm ◽

Primal Dual

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On the Continuous Trajectories for a Potential Reduction Algorithm for Linear Programming

Mathematics of Operations Research ◽

10.1287/moor.17.1.225 ◽

1992 ◽

Vol 17 (1) ◽

pp. 225-253 ◽

Cited By ~ 9

Author(s):

Renato D. C. Monteiro

Keyword(s):

Linear Programming ◽

Reduction Algorithm ◽

Potential Reduction ◽

Potential Reduction Algorithm

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On the convergence rate of the duality gap in a symmetric primal-dual potential reduction algorithm

Operations Research Letters ◽

10.1016/0167-6377(92)90005-n ◽

1992 ◽

Vol 11 (5) ◽

pp. 289-291

Author(s):

Jishan Zhu ◽

Siming Huang

Keyword(s):

Convergence Rate ◽

Duality Gap ◽

Reduction Algorithm ◽

Potential Reduction ◽

Potential Reduction Algorithm ◽

Primal Dual

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