Invariant subspace, determinant and characteristic polynomials

被引：1

作者：

Wu, Yaokun ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 428卷 / 07期

关键词：

divisor; equitable partition; semi-free action;

D O I：

10.1016/j.laa.2007.10.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Making use of an elementary fact on invariant subspace and determinant of a linear map and the method of algebraic identities, we obtain a factorization formula for a general characteristic polynomial of a matrix. This answers a question posed in [A. Deng, I. Sato, Y. Wu, Characteristic polynomials of ramified uniform covering digraphs, European J. Combin. 28 (2007) 1099-1114]. The approach of this work can be used to supply alternative proofs of several other earlier results, including some results of [Y. Teranishi, Equitable switching and spectra of graphs, Linear Algebra Appl. 359 (2003) 121-131]. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：1753 / 1760

页数：8