How big can the commutator of two matrices be and how big is it typically?

被引：54

作者：

Böttcher, A ^{[1
]}

Wenzel, D ^{[1
]}

机构：

[1] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 403卷

关键词：

commutator; random matrix; Frobenius norm;

D O I：

10.1016/j.laa.2005.02.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical experiments show that the Frobenius norm of the commutator of two large matrices typically clusters sharply around a certain value, which. moreover, is much smaller than one would predict, The purpose of this paper is to give it rigorous foundation of this phenomenon. We also discuss the question how big the Frobenius norm of the commutator of two matrices can actually be. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：216 / 228

页数：13