Proof of Bottcher and Wenzel's conjecture on commutator norms for 3-by-3 matrices

被引：22

作者：

Laszlo, L. ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Dept Numer Anal, H-1117 Budapest, Hungary

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2007年 / 422卷 / 2-3期

关键词：

commutator; Frobenius norm; Kronecker product; sum of squares;

D O I：

10.1016/j.laa.2006.11.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Bottcher and Wenzel conjectured that the Frobenius norm of the commutator of two real matrices of Frobenius norm 1 is at most root 2 and proved this for 2-by-2 matrices. In this paper, the conjecture is proved for 3-by-3 matrices. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：659 / 663

页数：5