The boundary of the Krein space tracial numerical range, an algebraic approach and a numerical algorithm

被引：0
作者：
N. Bebiano
H. Nakazato
A. Nata
J. da Providência
机构：
[1] University of Coimbra,CMUC, Department of Mathematics
[2] Hirosaki University,Department of Mathematical Sciences
[3] Polytechnic Institute of Tomar,CMUC, Department of Mathematics
[4] University of Coimbra,Department of Physics
来源：
Annali di Matematica Pura ed Applicata | 2010年 / 189卷
关键词：
Numerical range; Indefinite inner product; -Hermitian matrix; Noninterlacing eigenvalues; 47A12; 46C20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, tracial numerical ranges associated with matrices in an indefinite inner product space are investigated. The boundary equations of these sets are obtained, and the case of the boundary being a polygon is studied. As an application, a numerical algorithm for plotting the tracial numerical range of an arbitrary complex matrix is presented. Our approach uses the elementary idea that the boundary may be traced by computing the supporting lines.
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页码：539 / 551
页数：12
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