The Generalized Linear Complementarity Problem: Least Element Theory and Z-Matrices

被引：0
|
作者：
Aniekan A. Ebiefung
Michael M. Kostreva
机构：
[1] University of Tennessee at Chattanooga,Department of Mathematics
[2] Clemson University,Department of Mathematical Sciences
来源：
Journal of Global Optimization | 1997年 / 11卷
关键词：
Complementarity problems; Z-matrices; least element theory;
D O I：
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学科分类号：
摘要：
Existence of solutions to the Generalized Linear Complementarity Problem (GLCP) is characterized when the associated matrix is a vertical blockZ-matrix. It is shown that if solutions exist, then one must be the leastelement of the feasible region. Moreover, the vertical block Z-matrixbelongs to the class of matrices where feasibility implies existence of asolution to the GLCP. The concept of sufficient matrices of class Z isinvestigated to obtain additional properties of the solution set.
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页码：151 / 161
页数：10
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