Smoothing Newton methods for symmetric cone linear complementarity problem with the Cartesian $P$/$P_0$-property

Li-Xia Liu;  ; Sanyang Liu; Chun-Feng Wang;  ;

doi:10.3934/jimo.2011.7.53

Smoothing Newton methods for symmetric cone linear complementarity problem with the Cartesian $P$/$P_0$-property

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2011.7.53 ◽

2011 ◽

Vol 7 (1) ◽

pp. 53-66 ◽

Cited By ~ 3

Author(s):

Li-Xia Liu ◽

◽

Sanyang Liu ◽

Chun-Feng Wang ◽

◽

...

Keyword(s):

Linear Complementarity Problem ◽

Complementarity Problem ◽

Linear Complementarity ◽

Symmetric Cone ◽

Newton Methods ◽

Smoothing Newton Methods

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Full Nesterov-Todd step feasible interior-point algorithm for symmetric cone horizontal linear complementarity problem based on a positive-asymptotic barrier function

Optimization Methods and Software ◽

10.1080/10556788.2020.1734803 ◽

2020 ◽

pp. 1-22

Author(s):

S. Asadi ◽

N. Mahdavi-Amiri ◽

Zs. Darvay ◽

P. R. Rigó

Keyword(s):

Linear Complementarity Problem ◽

Interior Point ◽

Barrier Function ◽

Complementarity Problem ◽

Linear Complementarity ◽

Symmetric Cone ◽

Interior Point Algorithm ◽

Horizontal Linear Complementarity Problem

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A Lipschitzian error bound for monotone symmetric cone linear complementarity problem

Optimization ◽

10.1080/02331934.2014.979323 ◽

2014 ◽

Vol 64 (11) ◽

pp. 2395-2416 ◽

Cited By ~ 2

Author(s):

Michel Baes ◽

Huiling Lin

Keyword(s):

Error Bound ◽

Linear Complementarity Problem ◽

Complementarity Problem ◽

Linear Complementarity ◽

Symmetric Cone

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A new interior-point algorithm based on modified Nesterov–Todd direction for symmetric cone linear complementarity problem

Optimization Letters ◽

10.1007/s11590-013-0618-5 ◽

2013 ◽

Vol 8 (3) ◽

pp. 1017-1029 ◽

Cited By ~ 10

Author(s):

B. Kheirfam ◽

N. Mahdavi-Amiri

Keyword(s):

Linear Complementarity Problem ◽

Interior Point ◽

Complementarity Problem ◽

Linear Complementarity ◽

Symmetric Cone ◽

Interior Point Algorithm

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Multisplitting iterative methods with general weighting matrices for solving a symmetric positive linear complementarity problem

Artificial Intelligence and Industrial Application ◽

10.2495/aiia140481 ◽

2015 ◽

Author(s):

B. X. Duan ◽

A. M. Yu

Keyword(s):

Iterative Methods ◽

Linear Complementarity Problem ◽

Complementarity Problem ◽

Linear Complementarity

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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 ◽

Cited By ~ 35

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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Rank one positive sub-definite matrix classes and linear complementarity problem

2013 International Conference on Control, Decision and Information Technologies (CoDIT) ◽

10.1109/codit.2013.6689580 ◽

2013 ◽

Author(s):

Tanjena S. Khan ◽

A. Hassouni ◽

A. Lahlou

Keyword(s):

Linear Complementarity Problem ◽

Complementarity Problem ◽

Linear Complementarity ◽

Matrix Classes ◽

Rank One

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Existence theory for the complex linear complementarity problem

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(72)90017-0 ◽

1972 ◽

Vol 40 (3) ◽

pp. 738-762 ◽

Cited By ~ 8

Author(s):

Charles J McCallum

Keyword(s):

Linear Complementarity Problem ◽

Complementarity Problem ◽

Linear Complementarity ◽

Existence Theory ◽

Complex Linear

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On the modulus algorithm for the linear complementarity problem

PAMM ◽

10.1002/pamm.200410292 ◽

2004 ◽

Vol 4 (1) ◽

pp. 622-623

Author(s):

Uwe Schäfer

Keyword(s):

Linear Complementarity Problem ◽

Complementarity Problem ◽

Linear Complementarity

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Extensive analysis of Linear Complementarity Problem (LCP) solver performance on randomly generated rigid body contact problems

2012 IEEE/RSJ International Conference on Intelligent Robots and Systems ◽

10.1109/iros.2012.6385974 ◽

2012 ◽

Cited By ~ 8

Author(s):

Evan Drumwright ◽

Dylan A. Shell

Keyword(s):

Rigid Body ◽

Linear Complementarity Problem ◽

Complementarity Problem ◽

Contact Problems ◽

Linear Complementarity ◽

Body Contact ◽

Extensive Analysis ◽

Solver Performance

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Existence theory and Q-matrix characterization for the generalized linear complementarity problem

Linear Algebra and its Applications ◽

10.1016/0024-3795(95)00091-5 ◽

1995 ◽

Vol 223-224 ◽

pp. 155-169 ◽

Cited By ~ 13

Author(s):

Aniekan A. Ebiefung

Keyword(s):

Linear Complementarity Problem ◽

Complementarity Problem ◽

Linear Complementarity ◽

Existence Theory ◽

Generalized Linear Complementarity Problem ◽

Q Matrix

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