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The Extended Linear Complementarity Problem
, 1993
"... We consider an extension of the horizontal linear complementarity problem, which we call the extended linear complementarity problem (XLCP). With the aid of a natural bilinear program, we establish various properties of this extended complementarity problem; these include the convexity of the biline ..."
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Cited by 776 (28 self)
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We consider an extension of the horizontal linear complementarity problem, which we call the extended linear complementarity problem (XLCP). With the aid of a natural bilinear program, we establish various properties of this extended complementarity problem; these include the convexity
On the Extended Linear Complementarity Problem
 MATHEMATICAL PROGRAMMING
, 1996
"... For the extended linear complementarity problem [11], we introduce and characterize columnsufficiency, rowsufficiency, and Pproperties. These properties are then specialized to the vertical, horizontal, and mixed linear complementarity problems. ..."
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Cited by 14 (2 self)
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For the extended linear complementarity problem [11], we introduce and characterize columnsufficiency, rowsufficiency, and Pproperties. These properties are then specialized to the vertical, horizontal, and mixed linear complementarity problems.
Bilinear Complementarity Problem
"... Abstract—In this paper, we propose a new linear complementarity problem named as bilinear complementarity problem (BLCP) and the method for solving BLCP. In addition, the algorithm for error estimation of BLCP is also given. Numerical experiments show that the algorithm is efficient. Keywords—Bili ..."
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Abstract—In this paper, we propose a new linear complementarity problem named as bilinear complementarity problem (BLCP) and the method for solving BLCP. In addition, the algorithm for error estimation of BLCP is also given. Numerical experiments show that the algorithm is efficient. Keywords—Bilinear
Parametric Linear Complementarity Problems
, 1996
"... We study linear complementarity problems depending on parameters in the righthand side and (or) in the matrix. For the case that all elements of the righthand side are independent parameters we give a new proof for the equivalence of three different important local properties of the corresponding ..."
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Cited by 2 (0 self)
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We study linear complementarity problems depending on parameters in the righthand side and (or) in the matrix. For the case that all elements of the righthand side are independent parameters we give a new proof for the equivalence of three different important local properties of the corresponding
Multiparametric Linear Complementarity Problems
 In IEEE Conference on Decision and Control
, 2006
"... Abstract — The linear complementarity problem (LCP) is a general problem that unifies linear and quadratic programs and bimatrix games. In this paper, we present an efficient algorithm for the solution to multiparametric linear complementarity problems (pLCPs) that are defined by positive semi–defin ..."
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Cited by 5 (3 self)
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Abstract — The linear complementarity problem (LCP) is a general problem that unifies linear and quadratic programs and bimatrix games. In this paper, we present an efficient algorithm for the solution to multiparametric linear complementarity problems (pLCPs) that are defined by positive semi
SemiDefinite Linear Complementarity Problems
, 2011
"... In this report an iterative method from the theory of maximal monotone operators is transfered into the context of linear complementarity problems and numerical tests are performed on contact problems from the field of rigid multibody dynamics. 1 ..."
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In this report an iterative method from the theory of maximal monotone operators is transfered into the context of linear complementarity problems and numerical tests are performed on contact problems from the field of rigid multibody dynamics. 1
On the Solution of the Extended Linear Complementarity Problem
, 1998
"... The extended linear complementarity problem (XLCP) has been introduced in a recent paper by Mangasarian and Pang. In the present research, minimization problems with simple bounds associated to this problem are defined. When the XLCP is solvable, their solutions are global minimizers of the associat ..."
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Cited by 7 (4 self)
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The extended linear complementarity problem (XLCP) has been introduced in a recent paper by Mangasarian and Pang. In the present research, minimization problems with simple bounds associated to this problem are defined. When the XLCP is solvable, their solutions are global minimizers
Integral Solutions of Linear Complementarity Problems
, 1996
"... We 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 s ..."
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Cited by 3 (0 self)
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We 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
Results 1  10
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2,116,435