Error bounds for linear complementarity problems of Nekrasov matrices

We present error bounds for the linear complementarity problem when the involved matrix is a Nekrasov matrix and also when it is a Σ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\Sigma $\end{document}-Nekrasov matrix. The new bounds can improve considerably other previous bounds.