Note on error bounds for linear complementarity problems involving B^S-matrices

Abstract

Using the range for the infinity norm of inverse matrix of a strictly diagonally dominant M-matrix, some new error bounds for the linear complementarity problem are obtained when the involved matrix is a BS-matrix. Theory analysis and numerical examples show that these upper bounds are more accurate than some existing results.

Keywords

• error bounds
• linear complementarity problems
• diagonally dominant matrices
• b^s-matrices
• b-matrices