Error bounds for linear complementarity problems of S-Nekrasov matrices and B–S-Nekrasov matrices

摘要

An error bound involving a parameter, which does not always work, for the linear complementarity problem (LCP) when the involved matrices are S-Nekrasov matrices is provided by M. García-Esnaola and J.M. Peña (2014). In this paper, a new error bound for the LCP of S-Nekrasov matrices is presented, which depends only on the entries of the involved S-Nekrasov matrices. Based on the obtained results, we also give an error bound for the LCP of B–S-Nekrasov matrices.