Uniqueness Conditions And Estimations For Error Bound Of Solution Of Extended Vertical Linear Complementarity Problem

Extended vertical linear complementarity problem is a generalization of linear complementarity problems,and has important applications in the fields of operations research and economics.It is a sufficiently necessary condition for the existence on the unique solution of the extended vertical linear complementarity problem that there is the row-properties of coefficient block matrix of the extended vertical linear complement-arity problem.In this thesis,2 new sufficient conditions are presented for the existence of a unique solution to the extended vertical linear complementarity problem by studying the row-properties of the block matrix consisting of C-matrix andC_π~R-matrix.The numerical examples in the text show that the obtained sufficient conditions are valid and easier to verify than some of the existing conditions.In this thesis,the error boundary estimation problem of the solution of the extended vertical linear complementarity problem is also studied,and the error bounds of the B-matrix extended vertical linear complementarity problem and theB_π~R-matrix extended vertical linear complementary problem solution are obtained,respectively,and finally the effectiveness of the obtained error bounds is illustrated by numerical examples.