On the spectrum and pseudoinverse of a special bordered matrix

被引：9

作者：

Ding, J ^{[1
]}

Pye, WC ^{[1
]}

机构：

[1] Univ So Mississippi, Dept Math, Hattiesburg, MS 39406 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 331卷 / 1-3期

关键词：

characteristic polynomial; spectrum; pseudoinverse;

D O I：

10.1016/S0024-3795(01)00261-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

The characteristic polynomial of a low rank bordered matrix of special structure is determined by elementary means. This result includes as a special case formula (13) in [A. Farkas, P. Rozsa. Data perturbations of matrices of pairwise comparisons, preprint, 2000] obtained there by the Sherman-Morrison formula. Another application is a simple formula for the pseudoinverse of these bordered matrices. (C) 2001 Elsevier Science Inc. All rights reserved.

引用

页码：11 / 20

页数：10

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