会议专题

Perturbation for the singular values of matrices

The purpose of this paper is to discuss the perturbation for the singular values of matrices. We present the following inequality ‖B + A‖3F ≤‖diag (τ1+ σ1,τ2 + σ2,…,τn + σn )‖2F for the singular values of matrices based on the inequality which was showed by Wu in 1. It can be used in finding a best (in the sense of least squares) rank k approximation to a given matrix and so on.

Perturbation Singular values Norm Inequality

Xingkai Hu Limin Zou

College of Mathematics and Physics of Chongqing University, Chongqing, 400044,P.R.China College of Mathematics and Computer Science of Chongqing Three Gorges University,Chongqing, 404000,

国际会议

The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

杭州

英文

520-523

2009-07-09(万方平台首次上网日期,不代表论文的发表时间)