M-阵及其逆阵的Hadamard积特征值的下界估计

华东师范大学学报(自然科学版) ›› 2008, Vol. 2008 ›› Issue (3): 67-74.

M-阵及其逆阵的Hadamard积特征值的下界估计

黄荣

华东师范大学数学系, 上海 200062

收稿日期:2007-03-19 修回日期:2007-06-08 出版日期:2008-05-25 发布日期:2008-05-25
通讯作者: 黄荣

Estimate of bounds for the eigenvalue of Hadamard product of an M-matrix and its inverse(Chinese)

Huang Rong

Received:2007-03-19 Revised:2007-06-08 Online:2008-05-25 Published:2008-05-25
Contact: Huang Rong

摘要/Abstract

摘要： 设n阶阵A为严格块对角占优阵,给出了其逆阵A^-1的块元素的范数估计;进而若A为非奇异M-阵,得到了AoA^-1最小特征值新的下界估计,且该下界不小于2/n.

关键词: 块对角占优, 元素估计, 逆阵, 块对角占优, 元素估计, 逆阵

Abstract: Let A be a strictly block diagonally dominant matrix, the norms for blocks of its inverse were estimated. Furthermore, if A is an M-matrix, we gave a new bounds of the minimum eigenvalue of AoA^-1, and proved that the bounds are less than 2/n.

Key words: M-matrix, inverse matrix, block diagonally dominant, M-matrix, inverse matrix

中图分类号:

O241.1

黄荣. M-阵及其逆阵的Hadamard积特征值的下界估计[J]. 华东师范大学学报(自然科学版), 2008, 2008(3): 67-74.

Huang Rong. Estimate of bounds for the eigenvalue of Hadamard product of an M-matrix and its inverse(Chinese)[J]. Journal of East China Normal University(Natural Sc, 2008, 2008(3): 67-74.

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