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6,768
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 788 (30 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 16 (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.
The Extended Linear Complementarity Problem
, 1994
"... . In this paper we define the Extended Linear Complementarity Problem (ELCP), an extension of the wellknown Linear Complementarity Problem (LCP). We study the general solution set of an ELCP and we present an algorithm to find all its solutions. Finally we show that the ELCP can be used to solve so ..."
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. In this paper we define the Extended Linear Complementarity Problem (ELCP), an extension of the wellknown Linear Complementarity Problem (LCP). We study the general solution set of an ELCP and we present an algorithm to find all its solutions. Finally we show that the ELCP can be used to solve
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 6 (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
Applications of the extended linear complementarity problem in the maxplus algebra
 Proc. of WODES’96 (Internat. Workshop on Discrete Event Syst
, 1996
"... Applications of the extended linear complementarity problem in the maxplus algebra ∗ ..."
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Cited by 2 (2 self)
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Applications of the extended linear complementarity problem in the maxplus algebra ∗
Some optimization reformulations of the extended linear complementarity problem
 COMPUT. OPTIM. APPL
, 1999
"... We consider the extended linear complementarity problem (XLCP) introduced by Mangasarian and Pang [22], of which the horizontal and vertical linear complementarity problems are two special cases. We give some new sufficient conditions for every stationary point of the natural bilinear program asso ..."
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Cited by 8 (2 self)
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We consider the extended linear complementarity problem (XLCP) introduced by Mangasarian and Pang [22], of which the horizontal and vertical linear complementarity problems are two special cases. We give some new sufficient conditions for every stationary point of the natural bilinear program
Minimal Realization in the Max Algebra is an Extended Linear Complementarity Problem
 SYSTEMS & CONTROL LETTERS
, 1993
"... In this paper we demonstrate that the minimal state space realization problem in the max algebra can be transformed into an Extended Linear Complementarity Problem (ELCP). We use an algorithm that finds all solutions of an ELCP to find all equivalent minimal state space realizations of a single inpu ..."
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Cited by 27 (23 self)
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In this paper we demonstrate that the minimal state space realization problem in the max algebra can be transformed into an Extended Linear Complementarity Problem (ELCP). We use an algorithm that finds all solutions of an ELCP to find all equivalent minimal state space realizations of a single
Optimizing acyclic traffic signal switching sequences through an extended linear complementarity problem formulation
 European Journal of Operational Research
, 2002
"... Optimizing acyclic traffic signal switching sequences through an extended linear complementarity problem formulation ∗ ..."
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Cited by 7 (2 self)
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Optimizing acyclic traffic signal switching sequences through an extended linear complementarity problem formulation ∗
The extended linear complementarity problem and its applications in the maxplus algebra
, 1995
"... ..."
Results 1  10
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