Uniqueness of matrix square roots under a numerical range condition

被引：3

作者：

Johnson, CR ^{[1
]}

Okubo, K

机构：

[1] Hokkaido Univ, Math Lab, Sapporo, Hokkaido 0028502, Japan

[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2002年 / 341卷 / 1-3期

关键词：

matrix square root; numerical range; spectrum;

D O I：

10.1016/S0024-3795(01)00358-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For A is an element of M-n (C), let W (A) denote the numerical range of A. It is shown that if W (A) boolean AND (-infinity, 0) = phi, then A has a unique square root B is an element of M-n (C) with W(B) in the closed right half plane. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：195 / 199

页数：5