非奇异M-矩阵的逆矩阵和M-矩阵的Hadamard积的最小特征值下界估计

J4 ›› 2013, Vol. 48 ›› Issue (8): 30-33.

非奇异M-矩阵的逆矩阵和M-矩阵的Hadamard积的最小特征值下界估计

王峰

菏泽学院数学系, 山东菏泽 274015

收稿日期:2013-01-17 出版日期:2013-08-20 发布日期:2013-08-21
作者简介:王峰(1981- ),男,博士研究生,讲师,研究方向为数值代数. Email:wangf991@163.com
基金资助:
国家自然科学基金资助项目(71161020, 71162005)；云南省科研创新团队(IRTSTYN)

Estimation on lower bounds for the minimum eigenvalue of the Hadamard product of inverse matrix of nonsingular M-matrix and M-matrix

WANG Feng

Department of Mathematics, Heze University, Heze 274015, Shandong, China

Received:2013-01-17 Online:2013-08-20 Published:2013-08-21

摘要/Abstract

摘要：

给出了非奇异M-矩阵的逆矩阵和M-矩阵的Hadamard积的最小特征值下界新的估计式, 这些估计式都只依赖于矩阵的元素,易于计算,改进了已有的结果。

关键词: M-矩阵; Hadamard积; 最小特征值

Abstract:

Some new lower bounds for the minimum eigenvalues of the Hadamard product of inverse matrix of nonsingular M-matrix and M-matrix are given. The estimating formulas of the bounds only depend on the entries of matrices, and they are easy to calculate.These bounds improve the related results.

Key words: M-matrix; Hadamard product; minimum eigenvalue

王峰. 非奇异M-矩阵的逆矩阵和M-矩阵的Hadamard积的最小特征值下界估计[J]. J4, 2013, 48(8): 30-33.

WANG Feng. Estimation on lower bounds for the minimum eigenvalue of the Hadamard product of inverse matrix of nonsingular M-matrix and M-matrix[J]. J4, 2013, 48(8): 30-33.

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