On two questions about quaternion matrices

被引：13

作者：

Huang, LP ^{[1
]}

机构：

[1] Xiangtan Polytech Univ, Math Inst, Xiangtan 411201, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2000年 / 318卷 / 1-3期

基金：

中国国家自然科学基金;

关键词：

quaternion matrix; complex representation matrix; left eigenvalue;

D O I：

10.1016/S0024-3795(00)00154-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper answers two questions proposed in [Fuzhen Zhang, Linear Algebra Appl. 251 (1997) 21-57], showing that there exists a 2 x 2 quaternion matrix with only two non-similar left eigenvalues that is not diagonalizable, and giving some necessary and sufficient conditions for \A/-B B/A\ = 0 (C) 2000 Elsevier Science Inc. All rights reserved. AMS classification: 15A33.

引用

页码：79 / 86

页数：8