THE POSSIBLE SHAPES OF NUMERICAL RANGES

被引：27

作者：

Helton, J. William ^{[1
]}

Spitkovsky, I. M. ^{[2
]}

机构：

[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

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

来源：

OPERATORS AND MATRICES | 2012年 / 6卷 / 03期

基金：

美国国家科学基金会;

关键词：

Numerical range; linear matrix inequalities;

D O I：

10.7153/oam-06-41

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Which convex subsets of C are the numerical range W(A) of some matrix A? This paper gives a precise characterization of these sets. In addition to this we show that for any A there exists a symmetric B of the same size such that W(A) = W(B) thereby settling an open question from [2].

引用

页码：607 / 611

页数：5

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