EIGENVALUE INEQUALITIES AND SCHUBERT CALCULUS

被引：24

作者：

HELMKE, U ^{[1
]}

ROSENTHAL, J ^{[1
]}

机构：

[1] UNIV NOTRE DAME,NOTRE DAME,IN 46556

来源：

MATHEMATISCHE NACHRICHTEN | 1995年 / 171卷

关键词：

D O I：

10.1002/mana.19951710113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using techniques from algebraic topology we derive linear inequalities which relate the spectrum of a set of Hermitian matrices A1, ..., A(r) is-an-element-of C(nxn) with the spectrum of the sum A1 + ... + A(r). These extend eigenvalue inequalities due to Freede-Thompson and Horn for sums of eigenvalues of two Hermitian matrices.

引用

页码：207 / 225

页数：19

共 18 条

[1]

BHATIA R, 1987, RES NOTES MATH, V162

[2] MULTIVARIABLE NYQUIST CRITERIA, ROOT LOCI, AND POLE PLACEMENT - A GEOMETRIC VIEWPOINT [J].