Physical Sciences and Mathematics Commons^™

Some Contributions To Linear Complementarity Problem., G. S. R. Murthy Dr.

Doctoral Theses

This dissertation deals with a number of problems related to linear comple- mentarity problem (LCP). Given a real square matrix A of order n and a real n-vector q, the LCP is to find a nonnegative n-vector z such that Az + q 2 0 and zt(Az + 9) = 0. There is vast literature on LCP, evolved during the last four decades. LCP plays a crucial role in the study of mathematical program- ming from the view point of algorithms as well as applications. The inherent nature of the problem has led the researchers to introduce and study a …