Perturbation for the singular values of matrices

摘要：

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.

关键词： Perturbation Singular values Norm Inequality

作者: Xingkai Hu Limin Zou

作者单位: 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,

会议类型: 国际会议

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

会议地点: 杭州

会议语种:英文

页码: 520-523

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）