학술논문
POSITIVE SUBDEFINITE MATRICES, GENERALIZED MONOTONICITY, AND LINEAR COMPLEMENTARITY PROBLEMS.
Document Type
Article
Author
Source
Subject
*MATRICES (Mathematics)
*CONVEX programming
*QUADRATIC programming
*NONSYMMETRIC matrices
*SYMMETRIC functions
*LINEAR complementarity problem
*MAPS
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Language
ISSN
0895-4798
Abstract
Positive subdefinite matrices were introduced by Martos to characterize generalized convex quadratic functions. This concept is extended to nonsymmetric matrices. It leads to a study of pseudomonotone matrices and to new characterizations of generalized monotone affine maps. Finally, some properties of linear complementarity problems involving such maps are derived. [ABSTRACT FROM AUTHOR]