Bounds for eigenvalues using the trace and determinant

被引：21

作者：

Merikoski, JK

Virtanen, A

机构：

[1] Department of Mathematical Sciences, University of Tampere, FIN-33101 Tampere

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1997年 / 264卷

关键词：

D O I：

10.1016/S0024-3795(97)00067-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

Let A be a square matrix with real and positive eigenvalues lambda(1) greater than or equal to ... greater than or equal to lambda(n) > 0, and let 1 less than or equal to k less than or equal to l less than or equal to n. Bounds for lambda(k) ... lambda(l) and lambda(k) + ... + lambda(l), involving k, l, n, tr A, and det A only, are presented. (C) 1997 Elsevier Science Inc.

引用

页码：101 / 108

页数：8

共 7 条

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[2]

KUMAR R, 1984, THESIS U ALBERTA

[3]

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