一类对角占优阵的性质及其应用

PROPERTY FO A CLASS DIAGONALLY DOMINANT MATRIX AND APPLICATIONS

Ｂｒｕａｌｄｉ曾给出按回路对均占优阵的非奇异性定理［１］，本文在Ｂｒｕａｌｄｉ定理的基础上，讨论了按回路非零元素链对角占优阵的非奇异性，从而又得到了一个非奇异Ｍ－矩阵的等价判据。

Brualdi give nonsingular theorem fo diagonally dominant matrix on cycle in[1].In this paper We obtain some mew results on Brualdi therem,and improve some of results of the paper[2]