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

Lei-Hong Zhang; Wei Hong Yang; Chungen Shen; Ren-Cang Li

doi:10.1137/140995064

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 ◽

Cited By ~ 6

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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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 ◽

Cited By ~ 2

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 ◽

Cited By ~ 6

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 Krylov subspace method based on multi-moment matching for model order reduction of large-scale second order bilinear systems

Applied Mathematical Modelling ◽

10.1016/j.apm.2018.03.048 ◽

2018 ◽

Vol 60 ◽

pp. 739-757 ◽

Cited By ~ 3

Author(s):

M. Vakilzadeh ◽

M. Eghtesad ◽

R. Vatankhah ◽

M. Mahmoodi

Keyword(s):

Model Order Reduction ◽

Large Scale ◽

Krylov Subspace ◽

Order Reduction ◽

Second Order ◽

Bilinear Systems ◽

Krylov Subspace Method ◽

Moment Matching ◽

Subspace Method ◽

Model Order

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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 ◽

Cited By ~ 2

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

Optimization ◽

10.1080/02331934.2016.1172311 ◽

2016 ◽

Vol 65 (9) ◽

pp. 1703-1715 ◽

Cited By ~ 4

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 ◽

Cited By ~ 37

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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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 ◽

Cited By ~ 6

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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A Computational Global Tangential Krylov Subspace Method for Model Reduction of Large-Scale MIMO Dynamical Systems

Journal of Scientific Computing ◽

10.1007/s10915-017-0601-x ◽

2017 ◽

Vol 75 (3) ◽

pp. 1614-1632 ◽

Cited By ~ 2

Author(s):

A. H. Bentbib ◽

K. Jbilou ◽

Y. Kaouane

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Large Scale ◽

Krylov Subspace ◽

Krylov Subspace Method ◽

Subspace Method ◽

Mimo Dynamical Systems

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A methodology for generating reduced-order models for large-scale buildings using the Krylov subspace method

Journal of Building Performance Simulation ◽

10.1080/19401493.2020.1752309 ◽

2020 ◽

Vol 13 (4) ◽

pp. 419-429

Author(s):

Donghun Kim ◽

Yeonjin Bae ◽

Sehyun Yun ◽

James E. Braun

Keyword(s):

Large Scale ◽

Krylov Subspace ◽

Krylov Subspace Method ◽

Reduced Order Models ◽

Subspace Method ◽

Reduced Order

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Application of oblique projection Krylov subspace method for large scale model reduction

Proceedings IEEE International Multi Topic Conference 2001 IEEE INMIC 2001 Technology for the 21st Century INMIC-01 ◽

10.1109/inmic.2001.995326 ◽

2005 ◽

Cited By ~ 1

Author(s):

N. Ahmed ◽

M.M. Awais

Keyword(s):

Model Reduction ◽

Large Scale ◽

Krylov Subspace ◽

Krylov Subspace Method ◽

Scale Model ◽

Subspace Method ◽

Oblique Projection ◽

Large Scale Model

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