A note on the unique solution of linear complementarity problem
نویسندگان
چکیده
منابع مشابه
On the Solution of the Extended Linear Complementarity Problem
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 deened. When the XLCP is solvable, their solutions are global minimizers of the associated problems. Suucient conditions that guarantee that stationary points of the associated problems ...
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It is proved that applying sufficient regularity conditions to the interval matrix $[A-|B|,A + |B|]$, we can create a new unique solvability condition for the absolute value equation $Ax + B|x|=b$, since regularity of interval matrices implies unique solvability of their corresponding absolute value equation. This condition is formulated in terms of positive deniteness of a certain point matrix...
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In this paper we consider some extensions of the Linear Complementarity Problem, which is one of the fundamental problems in mathematical programming. More specifically we consider the Linear Dynamic Complementarity Problem (LDCP), the Generalized Linear Complementarity Problem (GLCP) and the Extended Linear Complementarity Problem (ELCP). We show that the LDCP is a special case of the ELCP and...
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ژورنال
عنوان ژورنال: Cogent Mathematics
سال: 2016
ISSN: 2331-1835
DOI: 10.1080/23311835.2016.1271268