Singular values of matrix exponentials

被引：3

作者：

So, W ^{[1
]}

Thompson, RC

机构：

[1] Sam Houston State Univ, Dept Math Comp Sci & Stat, Huntsville, TX 77341 USA

[2] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93105 USA

来源：

LINEAR & MULTILINEAR ALGEBRA | 2000年 / 47卷 / 03期

关键词：

singular value; matrix exponential; matrix type inequality;

D O I：

10.1080/03081080008818649

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The singular values of a matrix and those of its exponential are related via multiplicative majorization. Matrices giving some equalities in the majorization are characterized. As an application, a scalar inequality for the exponential function is generalized to a matrix-valued inequality and the case of equality is examined.

引用

页码：249 / 258

页数：10