The Schur complement and inverse M-matrices

摘要：

It is well known that if A is an inverse M-matrix, then the Schur complement of any leading principle matrix of A is also an inverse M-matrix. However, the converse of this result is not true. I.N.Imam had given added restrictions to insure the converse Linear Algebra Appl., 62 (1984) 235-240. In this paper, we give a necessary and sufficient condition for a nonnegative matrix to an inverse M-matrix, and obtain an analog of the converse without any restriction.

关键词： Schur complements inverse M-matrices M-matrices Z-matrices

作者: Rong Huang Jianzhou Liu

作者单位: School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan, China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 61-63

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）