SOME CONSTANTS RELATED TO NUMERICAL RANGES

被引：10

作者：

Crouzeix, Michel ^{[1
]}

机构：

[1] Univ Rennes 1, UMR CNRS 6625, Inst Rech Math Rennes, Campus Beaulieu, F-35042 Rennes, France

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2016年 / 37卷 / 01期

关键词：

numerical range; spectral set; completely bounded; FUNCTIONAL-CALCULUS; OPERATORS;

D O I：

10.1137/15M1020411

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In an attempt to progress toward proving the conjecture that the numerical range W(A) is a two-spectral set for the matrix A, we propose a study of various constants. We review some partial results; many problems are still open. We describe our corresponding numerical tests.

引用

页码：420 / 442

页数：23

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