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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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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Interior point methods for linear complementarity problems

PAMM ◽

10.1002/pamm.200700035 ◽

2007 ◽

Vol 7 (1) ◽

pp. 2010009-2010010

Author(s):

Florian A. Potra

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity

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Complexity of Interior Point Methods for a Class of Linear Complementarity Problems Using a Kernel Function with Trigonometric Growth Term

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1344-z ◽

2018 ◽

Vol 178 (3) ◽

pp. 935-949

Author(s):

Sajad Fathi-Hafshejani ◽

Alireza Fakharzadeh Jahromi ◽

Mohammad Reza Peyghami ◽

Shengyuan Chen

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Methods ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity

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Primal-Dual Affine Scaling Interior Point Methods for Linear Complementarity Problems

SIAM Journal on Optimization ◽

10.1137/060670341 ◽

2008 ◽

Vol 19 (1) ◽

pp. 114-143 ◽

Author(s):

Florian A. Potra

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Affine Scaling ◽

Dual Affine ◽

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Asymptotic Behavior of Underlying NT Paths in Interior Point Methods for Monotone Semidefinite Linear Complementarity Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-010-9746-6 ◽

2010 ◽

Vol 148 (1) ◽

pp. 79-106 ◽

Author(s):

Chee-Khian Sim

Keyword(s):

Asymptotic Behavior ◽

Interior Point ◽

Interior Point Methods ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Semidefinite Linear Complementarity Problems

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Unified Analysis of Kernel-Based Interior-Point Methods for $P_*(\kappa)$-Linear Complementarity Problems

SIAM Journal on Optimization ◽

10.1137/090766735 ◽

2010 ◽

Vol 20 (6) ◽

pp. 3014-3039 ◽

Author(s):

G. Lesaja ◽

C. Roos

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity

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High Order Infeasible-Interior-Point Methods for Solving Sufficient Linear Complementarity Problems

Mathematics of Operations Research ◽

10.1287/moor.23.4.832 ◽

1998 ◽

Vol 23 (4) ◽

pp. 832-862 ◽

Author(s):

Josef Stoer ◽

Martin Wechs ◽

Shinji Mizuno

Keyword(s):

Interior Point ◽

Interior Point Methods ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

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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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Kernel function based interior-point methods for horizontal linear complementarity problems

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2013-215 ◽

2013 ◽

Vol 2013 (1) ◽

pp. 215 ◽

Author(s):

Yong-Hoon Lee ◽

You-Young Cho ◽

Gyeong-Mi Cho

Keyword(s):

Kernel Function ◽

Interior Point ◽

Interior Point Methods ◽

Complementarity Problems ◽

Linear Complementarity Problems ◽

Linear Complementarity

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