Criteria for Nonsingular H −Matrices

Abstract

In order to achieve further investigation, new extended criteria of nonsingular H −matrix are introduced. In the recent paper, several simple criteria, as well as some necessary conditions for nonsingular H −matrix, have been obtained. Inspired by these results, we partition the row and column index set of square matrix, construct a positive diagonal matrix according to the elements and row sum, column sum of the matrix as well, then obtain a set of criteria for the nonsingular H −matrix, and extend the criteria of nonsingular H −matrix. Finally, a few numerical examples are given to illustrate relative merits of the proposed criteria.