H-矩阵的刻化及一类实矩阵逆的上下界估计

A characterization of an H-matrix and the bounds estimation for the inverse of a class real matrix

摘要: H-矩阵是一类有很强应用背景的矩阵,首先利用矩阵的分裂刻划了H-矩阵;然后给出了更精确的H-矩阵逆的上下界估计;进而把该结论推广到一类实矩阵.所用方法不同于以往有关结论,并改进了最近的相关结果.

Abstract: H-matrix is a class of widely used matrix.It is first presented that a characterization of an H-matrix by the splitting of matrix;then a more accurate bounds estimation for the inverse of an H-matrix is presented;finally the conclusions to a class of real matrix is extended.The method used in this paper is different from the others.Some recent results are imprived.