THE GENERALIZED ORDER LINEAR COMPLEMENTARITY-PROBLEM

被引：75

作者：

GOWDA, MS

SZNAJDER, R

机构：

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1994年 / 15卷 / 03期

关键词：

ORDER COMPLEMENTARITY PROBLEM; PIECEWISE-LINEAR FUNCTION; BLOCK TRANSFORMATIONS; TYPE;

D O I：

10.1137/S0895479892237859

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The generalized order linear complementarity problem (in the setting of a finite dimensional vector lattice) is the problem of finding a solution to the piecewise-linear system x AND (M1x + q1 ) AND (M2x + q2) AND ... AND (M(k)x + q(k)) = 0, where M(i)'s are linear transformations and q(i)'s are vectors. This problem is equivalent to the generalized linear complementarity problem considered by Cottle and Dantzig [J. Combin. Theory, 8 (1970), pp- 79-90.]. Using degree theory, a comprehensive analysis of existence, uniqueness, and stability aspects of this problem is presented.

引用

页码：779 / 795

页数：17

共 52 条

[41] THE FORMULATION OF THE MIXED LUBRICATION PROBLEM AS A GENERALIZED NONLINEAR COMPLEMENTARITY-PROBLEM [J].