Some Global Uniqueness and Solvability Results for Linear Complementarity Problems Over Symmetric Cones

SIAM Journal on Optimization ◽

10.1137/06065943x ◽

2007 ◽

Vol 18 (2) ◽

pp. 461-481 ◽

Author(s):

M. Seetharama Gowda ◽

R. Sznajder

Keyword(s):

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Symmetric Cones ◽

Global Uniqueness ◽

Global Uniqueness And Solvability

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A Note on the Paper “Linear Complementarity Problems Over Symmetric Cones: Characterization of Qb-Transformations and Existence Results”

Journal of Optimization Theory and Applications ◽

10.1007/s10957-013-0518-y ◽

2014 ◽

Vol 163 (1) ◽

pp. 351-354

Author(s):

Julio López ◽

Rúben López ◽

Héctor Ramírez

Keyword(s):

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Existence Results ◽

Symmetric Cones

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An Infeasible Interior Point Method for Linear Complementarity Problems over Symmetric Cones

10.1063/1.3241352 ◽

2009 ◽

Author(s):

Florian A. Potra ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Interior Point ◽

Interior Point Method ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Point Method ◽

Symmetric Cones ◽

Infeasible Interior Point Method

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A full Nesterov–Todd step infeasible-interior-point algorithm for CartesianP*(κ) horizontal linear complementarity problems over symmetric cones

Optimization ◽

10.1080/02331934.2015.1062011 ◽

2015 ◽

Vol 65 (2) ◽

pp. 539-565 ◽

Author(s):

N. Mohammadi ◽

H. Mansouri ◽

M. Zangiabadi ◽

S. Asadi

Keyword(s):

Interior Point ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Symmetric Cones ◽

Interior Point Algorithm

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On theP*(κ)horizontal linear complementarity problems over Cartesian product of symmetric cones

Optimization Methods and Software ◽

10.1080/10556788.2015.1058795 ◽

2015 ◽

Vol 31 (2) ◽

pp. 233-257 ◽

Author(s):

S. Asadi ◽

H. Mansouri ◽

Zs. Darvay ◽

M. Zangiabadi

Keyword(s):

Complementarity Problems ◽

Cartesian Product ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Symmetric Cones

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Kernel-Based Interior-Point Methods for Monotone Linear Complementarity Problems over Symmetric Cones

Journal of Optimization Theory and Applications ◽

10.1007/s10957-011-9848-9 ◽

2011 ◽

Vol 150 (3) ◽

pp. 444-474 ◽

Author(s):

G. Lesaja ◽

C. Roos

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Symmetric Cones

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On the Lipschitzian property in linear complementarity problems over symmetric cones

Linear Algebra and its Applications ◽

10.1016/j.laa.2011.02.009 ◽

2011 ◽

Vol 435 (4) ◽

pp. 842-851 ◽

Author(s):

I. Jeyaraman ◽

V. Vetrivel

Keyword(s):

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Symmetric Cones

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Linear Complementarity Problems over Symmetric Cones: Characterization of Q b -transformations and Existence Results

Journal of Optimization Theory and Applications ◽

10.1007/s10957-012-0116-4 ◽

2012 ◽

Vol 159 (3) ◽

pp. 741-768 ◽

Author(s):

Julio López ◽

Rúben López ◽

Héctor C. Ramírez

Keyword(s):

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Existence Results ◽

Symmetric Cones

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Large-Neighborhood Infeasible Predictor–Corrector Algorithm for Horizontal Linear Complementarity Problems over Cartesian Product of Symmetric Cones

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1402-6 ◽

2018 ◽

Vol 180 (3) ◽

pp. 811-829 ◽

Author(s):

Soodabeh Asadi ◽

Hossein Mansouri ◽

Zsolt Darvay ◽

Maryam Zangiabadi ◽

Nezam Mahdavi-Amiri

Keyword(s):

Complementarity Problems ◽

Cartesian Product ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Symmetric Cones ◽

Large Neighborhood ◽

Predictor Corrector

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Interior-point methods for CartesianP*(κ)-linear complementarity problems over symmetric cones based on the eligible kernel functions

Optimization Methods and Software ◽

10.1080/10556788.2012.670858 ◽

2012 ◽

Vol 27 (4-5) ◽

pp. 827-843 ◽

Author(s):

G. Lesaja ◽

G. Q. Wang ◽

D. T. Zhu

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Kernel Functions ◽

Symmetric Cones

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Accelerated Relaxation Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-020-01049-9 ◽

2021 ◽

Author(s):

Zheng-Ge Huang ◽

Jing-Jing Cui

Keyword(s):

Iteration Method ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Relaxation Modulus ◽

Linear Complementarity ◽

Matrix Splitting ◽

Splitting Iteration Method ◽

Accelerated Relaxation

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