非奇H矩阵的简捷判据

SOME SIMPLE DETERMINATE CONDITIONS FOR NONSINGULAR H-MATRIX

非奇H矩阵在计算数学和矩阵理论的研究中很重要,但简便实用的判定条件较少见。本文给出几个简捷判据。[1,2,3]的主要结果是本文定理1的特例。 记M_n(C)为n阶复阵集合,M_n(R)为n阶实阵集合。设A=(a_(ij))∈M_n(C),记Λ_i(A)=sum from j≠i to |a_(ij)|,i,j∈N≡{1,2,…,n}。若|a_(ii)|>Λ_i(A),i∈N。

In this paper, some simple determinate conditions for nonsingular H-matrices areobtained, and some results include and generalize the related results in [1, 2, 3].