The numerical range of products of normal matrices

被引：1
|
作者：
Drury, SW [1 ]
机构：
[1] McGill Univ, Dept Math & Stat, W Montreal, PQ H3A 2K6, Canada
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1999年 / 288卷 / 1-3期
关键词：
trace class multiplier; Schur multiplier; spectral distance; numerical range; normal matrix;
D O I：
10.1016/S0024-3795(98)10224-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In an earlier paper, the author developed a formula for the trace class multiplier norm of a matrix of rank at most 2. In this article, applications of this formula are given. In the main result we suppose that f(1),...,f(n) and g(1),...,g(n) are given sets of complex numbers. A description is given of the union of the numerical ranges of the product FG as F and G run over all nxn normal matrices with the given sets as eigenvalues. (C) 1999 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：283 / 292
页数：10
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