Weakly chained diagonally dominant <Emphasis Type="Italic">B</Emphasis>-matrices and error bounds for linear complementarity problems

The class of weakly chained diagonally dominant B-matrices, a subclass of P-matrices is introduced. Error bounds for the linear complementarity problem are presented when the involved matrix is a weakly chained diagonally dominant B-matrix. Numerical examples are given to show the sharpness of the proposed bounds.