A class of polynomial interior-point algorithms for the Cartesian second-order cone linear complementarity problem

Nonlinear Analysis ◽

10.1016/j.na.2010.07.036 ◽

2010 ◽

Vol 73 (12) ◽

pp. 3705-3722 ◽

Author(s):

G.Q. Wang ◽

D.T. Zhu

Keyword(s):

Linear Complementarity Problem ◽

Interior Point ◽

Complementarity Problem ◽

Linear Complementarity ◽

Second Order ◽

Interior Point Algorithms ◽

Second Order Cone

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Convergence of Interior Point Algorithms for the Monotone Linear Complementarity Problem

Mathematics of Operations Research ◽

10.1287/moor.21.1.1 ◽

1996 ◽

Vol 21 (1) ◽

pp. 1-25 ◽

Author(s):

J. Frédéric Bonnans ◽

Clovis C. Gonzaga

Keyword(s):

Linear Complementarity Problem ◽

Interior Point ◽

Complementarity Problem ◽

Linear Complementarity ◽

Interior Point Algorithms

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An Efficient Numerical Method for the Symmetric Positive Definite Second-Order Cone Linear Complementarity Problem

Journal of Scientific Computing ◽

10.1007/s10915-019-00907-4 ◽

2019 ◽

Vol 79 (3) ◽

pp. 1608-1629 ◽

Author(s):

Xiang Wang ◽

Xing Li ◽

Lei-Hong Zhang ◽

Ren-Cang Li

Keyword(s):

Numerical Method ◽

Linear Complementarity Problem ◽

Complementarity Problem ◽

Linear Complementarity ◽

Positive Definite ◽

Second Order ◽

Symmetric Positive Definite ◽

Second Order Cone

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A proximal gradient descent method for the extended second-order cone linear complementarity problem

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.01.011 ◽

2010 ◽

Vol 366 (1) ◽

pp. 164-180 ◽

Author(s):

Shaohua Pan ◽

Jein-Shan Chen

Keyword(s):

Linear Complementarity Problem ◽

Complementarity Problem ◽

Gradient Descent ◽

Linear Complementarity ◽

Descent Method ◽

Second Order ◽

Gradient Descent Method ◽

Second Order Cone ◽

Proximal Gradient Descent ◽

Extended Second Order Cone

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A Class of Polynomial Interior Point Algorithms for the Cartesian P-Matrix Linear Complementarity Problem over Symmetric Cones

Journal of Optimization Theory and Applications ◽

10.1007/s10957-011-9938-8 ◽

2011 ◽

Vol 152 (3) ◽

pp. 739-772 ◽

Author(s):

G. Q. Wang ◽

Y. Q. Bai

Keyword(s):

Linear Complementarity Problem ◽

Interior Point ◽

Complementarity Problem ◽

Linear Complementarity ◽

Symmetric Cones ◽

Interior Point Algorithms ◽

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On the Range of the Pseudomonotone Second-Order Cone Linear Complementarity Problem

Journal of Optimization Theory and Applications ◽

10.1007/s10957-017-1090-7 ◽

2017 ◽

Vol 173 (2) ◽

pp. 504-522 ◽

Author(s):

Wei Hong Yang ◽

Lei-Hong Zhang ◽

Chungen Shen

Keyword(s):

Linear Complementarity Problem ◽

Complementarity Problem ◽

Linear Complementarity ◽

Second Order ◽

Second Order Cone

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Superlinearly Convergent $O ( \sqrt{n} L )$-Iteration Interior-Point Algorithms for Linear Programming and the Monotone Linear Complementarity Problem

SIAM Journal on Optimization ◽

10.1137/0804014 ◽

1994 ◽

Vol 4 (2) ◽

pp. 247-261 ◽

Author(s):

Kevin McShane

Keyword(s):

Linear Programming ◽

Linear Complementarity Problem ◽

Interior Point ◽

Complementarity Problem ◽

Linear Complementarity ◽

Interior Point Algorithms

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Solution analysis for the pseudomonotone second-order cone linear complementarity problem

Optimization ◽

10.1080/02331934.2016.1172311 ◽

2016 ◽

Vol 65 (9) ◽

pp. 1703-1715 ◽

Author(s):

W. H. Yang ◽

Lei-Hong Zhang ◽

Chungen Shen

Keyword(s):

Linear Complementarity Problem ◽

Complementarity Problem ◽

Linear Complementarity ◽

Second Order ◽

Second Order Cone

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Three-dimensional quasi-static frictional contact by using second-order cone linear complementarity problem

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1493 ◽

2005 ◽

Vol 65 (1) ◽

pp. 62-83 ◽

Author(s):

Y. Kanno ◽

J. A. C. Martins ◽

A. Pinto da Costa

Keyword(s):

Linear Complementarity Problem ◽

Complementarity Problem ◽

Frictional Contact ◽

Three Dimensional ◽

Linear Complementarity ◽

Second Order ◽

Second Order Cone

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Polynomial interior-point algorithms for P∗(κ) horizontal linear complementarity problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.07.014 ◽

2009 ◽

Vol 233 (2) ◽

pp. 248-263 ◽

Author(s):

G.Q. Wang ◽

Y.Q. Bai

Keyword(s):

Linear Complementarity Problem ◽

Interior Point ◽

Complementarity Problem ◽

Linear Complementarity ◽

Horizontal Linear Complementarity Problem ◽

Interior Point Algorithms

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A Krylov Subspace Method for Large-Scale Second-Order Cone Linear Complementarity Problem

SIAM Journal on Scientific Computing ◽

10.1137/140995064 ◽

2015 ◽

Vol 37 (4) ◽

pp. A2046-A2075 ◽

Author(s):

Lei-Hong Zhang ◽

Wei Hong Yang ◽

Chungen Shen ◽

Ren-Cang Li

Keyword(s):

Linear Complementarity Problem ◽

Complementarity Problem ◽

Large Scale ◽

Krylov Subspace ◽

Linear Complementarity ◽

Second Order ◽

Krylov Subspace Method ◽

Subspace Method ◽

Second Order Cone

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