Estimate for the lower bound of rank and the upper bound of eigenvalues norms' sum of given quaternion matrix

被引：3

作者：

Wu Junliang ^{[1
]}

Zhang Yan ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Phys, Chongqing 400044, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 09期

关键词：

Quaternion matrix; Rank; Lower bound; Eigenvalue; Upper bound;

D O I：

10.1016/j.camwa.2010.02.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is concerned with estimating the lower bound of rank for a given quaternion square matrix, rectangular matrix or normal matrix, and estimating the upper bound for the sum of the eigenvalue norms of a given quaternion matrix. A sufficient condition is provided to confirm whether a given quaternion matrix is nonsingular. It sharpens some results due to Tu Bo-xun and Semyon Aranovich Gerschgorin and Schur, respectively. Some examples are provided to show the effectiveness of our results. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3160 / 3166

页数：7

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