Spectrally arbitrary, nonderogatory factorization over a general field

被引：3

作者：

Botha, J. D. ^{[1
]}

机构：

[1] Univ S Africa, Dept Math Sci, ZA-0003 Pretoria, South Africa

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 433卷 / 01期

关键词：

Nonderogatory; Special LU factorization; Spectrum; Rational canonical form;

D O I：

10.1016/j.laa.2010.01.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that a nonsingular, nonscalar matrix A, over the complex field, may be factored as A = BC, in which the spectra of B and C are arbitrary, subject to det B det C = det A, and that B and C may be taken to be nonderogatory. The purpose of this paper is to establish this result over a general field with at least four elements. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1 / 11

页数：11