节点文献
关于方阵特征值扰动的两个注记
Two Notes on the Variation of the Spectrum of a Matrix
【摘要】 第一部分将孙继广教授的结果推广,得到任意方阵特征值扰动的一个结果与若干推论.第二部分,给出了对称矩阵加上一个对称矩阵后,所得矩阵之特征值的表示.
【Abstract】 Problem on the variation of the spectrum of a matrix often gives intense interest.The aim of this paper is to give two notes on such problem.The first part of this paper give a note on the variation of the spectrum of an arbitrary matrix,and in second part of it,a note on characterization of eigenvalues of a symmetric matrix perturbed by a symmetric matrix is given.
【关键词】 Schur分解;
奇异值分解;
特征值;
【Key words】 Schur’s unitary triangularization theorem; singular value decomposition; eigenvalue;
【Key words】 Schur’s unitary triangularization theorem; singular value decomposition; eigenvalue;
- 【文献出处】 南京师大学报(自然科学版) ,Journal of Nanjing Normal University(Natural Science Edition) , 编辑部邮箱 ,2002年04期
- 【分类号】O241.6
- 【被引频次】10
- 【下载频次】71