An Interior‐Point Trust‐Region Algorithm for General Symmetric Cone Programming

Ye Lu; Ya‐Xiang Yuan

doi:10.1137/040611756

An Interior‐Point Trust‐Region Algorithm for General Symmetric Cone Programming

SIAM Journal on Optimization ◽

10.1137/040611756 ◽

2007 ◽

Vol 18 (1) ◽

pp. 65-86 ◽

Cited By ~ 12

Author(s):

Ye Lu ◽

Ya‐Xiang Yuan

Keyword(s):

Interior Point ◽

Trust Region ◽

Symmetric Cone ◽

Cone Programming ◽

Trust Region Algorithm ◽

Symmetric Cone Programming

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A New Strategy in the Complexity Analysis of an Infeasible-Interior-Point Method for Symmetric Cone Programming

Journal of Optimization Theory and Applications ◽

10.1007/s10957-014-0670-z ◽

2014 ◽

Vol 166 (2) ◽

pp. 572-587 ◽

Cited By ~ 8

Author(s):

Ximei Yang ◽

Hongwei Liu ◽

Yinkui Zhang

Keyword(s):

Interior Point ◽

Interior Point Method ◽

Complexity Analysis ◽

Symmetric Cone ◽

Point Method ◽

Cone Programming ◽

Symmetric Cone Programming ◽

New Strategy ◽

Infeasible Interior Point Method

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A New Infeasible-Interior-Point Algorithm Based on Wide Neighborhoods for Symmetric Cone Programming

Journal of the Operations Research Society of China ◽

10.1007/s40305-016-0118-2 ◽

2016 ◽

Vol 4 (2) ◽

pp. 147-165 ◽

Cited By ~ 3

Author(s):

Chang-He Liu ◽

Dan Wu ◽

You-Lin Shang

Keyword(s):

Interior Point ◽

Symmetric Cone ◽

Interior Point Algorithm ◽

Cone Programming ◽

Symmetric Cone Programming

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Polynomial complexity of an interior point algorithm with a second order corrector step for symmetric cone programming

Mathematical Methods of Operations Research ◽

10.1007/s00186-010-0334-1 ◽

2010 ◽

Vol 73 (1) ◽

pp. 75-90 ◽

Cited By ~ 21

Author(s):

Jian Zhang ◽

Kecun Zhang

Keyword(s):

Interior Point ◽

Polynomial Complexity ◽

Symmetric Cone ◽

Second Order ◽

Interior Point Algorithm ◽

Cone Programming ◽

Symmetric Cone Programming ◽

Corrector Step

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A New Wide Neighborhood Primal–Dual Infeasible-Interior-Point Method for Symmetric Cone Programming

Journal of Optimization Theory and Applications ◽

10.1007/s10957-013-0303-y ◽

2013 ◽

Vol 158 (3) ◽

pp. 796-815 ◽

Cited By ~ 33

Author(s):

Hongwei Liu ◽

Ximei Yang ◽

Changhe Liu

Keyword(s):

Interior Point ◽

Interior Point Method ◽

Symmetric Cone ◽

Point Method ◽

Wide Neighborhood ◽

Cone Programming ◽

Symmetric Cone Programming ◽

Primal Dual ◽

Infeasible Interior Point Method

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A primal–dual predictor–corrector interior-point method for symmetric cone programming with O(√r log ϵ−1) iteration complexity

International Journal of Computer Mathematics ◽

10.1080/00207160.2016.1274742 ◽

2017 ◽

Vol 94 (10) ◽

pp. 1998-2010

Author(s):

M. Sayadi Shahraki ◽

H. Mansouri ◽

M. Zangiabadi

Keyword(s):

Interior Point ◽

Interior Point Method ◽

Symmetric Cone ◽

Point Method ◽

Iteration Complexity ◽

Cone Programming ◽

Symmetric Cone Programming ◽

Primal Dual ◽

Predictor Corrector

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On the Central Paths in Symmetric Cone Programming

Journal of Optimization Theory and Applications ◽

10.1007/s10957-016-0989-8 ◽

2016 ◽

Vol 172 (2) ◽

pp. 649-668 ◽

Cited By ~ 2

Author(s):

Héctor Ramírez ◽

David Sossa

Keyword(s):

Symmetric Cone ◽

Cone Programming ◽

Symmetric Cone Programming ◽

Central Paths

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The Q Method for Symmetric Cone Programming

Journal of Optimization Theory and Applications ◽

10.1007/s10957-010-9777-z ◽

2011 ◽

Vol 149 (1) ◽

pp. 102-137 ◽

Cited By ~ 2

Author(s):

Farid Alizadeh ◽

Yu Xia

Keyword(s):

Symmetric Cone ◽

Q Method ◽

Cone Programming ◽

Symmetric Cone Programming

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An inexact spectral bundle method and error bounds for convex quadratic symmetric cone programming

10.32657/10356/48908 ◽

2012 ◽

Author(s):

Hui Ling Lin

Keyword(s):

Error Bounds ◽

Symmetric Cone ◽

Bundle Method ◽

Cone Programming ◽

Symmetric Cone Programming

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Quadratic convergence of a smoothing Newton method for symmetric cone programming without strict complementarity

Positivity ◽

10.1007/s11117-011-0126-8 ◽

2011 ◽

Vol 16 (2) ◽

pp. 297-319 ◽

Cited By ~ 5

Author(s):

Lingchen Kong

Keyword(s):

Newton Method ◽

Quadratic Convergence ◽

Symmetric Cone ◽

Smoothing Newton Method ◽

Strict Complementarity ◽

Cone Programming ◽

Symmetric Cone Programming

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A semismooth Newton method for nonlinear symmetric cone programming

Mathematical Methods of Operations Research ◽

10.1007/s00186-012-0393-6 ◽

2012 ◽

Vol 76 (2) ◽

pp. 129-145 ◽

Cited By ~ 2

Author(s):

Lingchen Kong ◽

Qingmin Meng

Keyword(s):

Newton Method ◽

Symmetric Cone ◽

Semismooth Newton Method ◽

Cone Programming ◽

Symmetric Cone Programming ◽

Semismooth Newton

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