Further results on {P1,P2}-Nekrasov matrices

Abstract

In this paper, we consider {P1, P2}-Nekrasov matrices, a generalization of Nekrasov matrices obtained via simultaneous permutations of rows and columns, and related classes.
For block {P1, P2}-Nekrasov matrices we give improved infinity norm bounds for the inverse.
For {P1, P2}-Nekrasov B-matrices, obtained through a special rank one perturbation, we obtain main results on infinity norm bounds for the inverse and error bounds for linear complementarity problems. Numerical examples illustrate the benefits of new bounds.