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Integer Solution for Linear Complementarity Problem
Mathematics of Operations Research, 1998We consider the problem of finding an integer solution to a linear complementarity problem. We introduce the class I of matrices for which the corresponding linear complementarity problem has an integer complementary solution for every vector, q, for which it has a solution.
R. Chandrasekaran +2 more
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Cycling in linear complementarity problems
Mathematical Programming, 1979A bound for the minimum length of a cycle in Lemke's Algorithm is derived. An example illustrates that this bound is sharp, and that the fewest number of variables is seven.
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On the extended linear complementarity problem
Mathematical Programming, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Linearized Methods for Tensor Complementarity Problems
Journal of Optimization Theory and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hong-Bo Guan, Dong-Hui Li
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Linear complementarity problems and bi-linear games
Applications of Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sengodan, Gokulraj +1 more
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On the Parametric Linear Complementarity Problem
Journal of Optimization Theory and Applications, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Solution Stability of the Linear Complementarity Problem
Mathematics of Operations Research, 1992In the paper [5], C. D Ha introduced the notion of stability of a linear complementarity problem at a solution point and established several sufficient conditions for stability to hold. In the present paper, we derive some new stability results which significantly improve Ha's results.
M. Seetharama Gowda, Jong-Shi Pang
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Degeneracy in linear complementarity problems: a survey
Annals of Operations Research, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Integral Solutions of Linear Complementarity Problems
Mathematics of Operations Research, 1998We characterize the class of integral square matrices M having the property that for every integral vector q the linear complementarity problem with data M, q has only integral basic solutions. These matrices, called principally unimodular matrices, are those for which every principal nonsingular submatrix is unimodular. As a consequence, we show that
William H. Cunningham, James F. Geelen
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A Linear Complementarity Problem with a P-Matrix
SIAM Review, 2004Summary: We present an application of a linear complementarity problem where \(M\) is a P-matrix but, in general, is neither an H-matrix nor a positive definite matrix. This application occurs originally by \textit{J. Rohn} [Linear Algebra Appl. 126, 39--78 (1989; Zbl 0712.65029)], which is less known to the LCP community. Its focus is in computing the
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