Anti-diagonals of symmetric and skew symmetric matrices with prescribed eigenvalues

被引：1

作者：

Yan, Wen

Tam, Tin-Yau ^{[1
]}

机构：

[1] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 03期

关键词：

kth Anti-diagonal; Eigenvalues; Weak majorization; SINGULAR VALUES; ELEMENTS; THEOREMS;

D O I：

10.1016/j.laa.2012.08.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The complete relationship between the kth anti-diagonals and the eigenvalues of an n x n (k <= n) real symmetric matrix is obtained. When k is even, the relationship is weak majorization. The Hermitian case is also studied. Similar results are obtained for real and complex skew symmetric matrices. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1446 / 1453

页数：8

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