ON THE RAYLEIGH QUOTIENT FOR SINGULAR VALUES

• 来源期刊: 计算数学（英文版）
• 关键词: The singular value,Rayleigh quotient,Canonical angle matrix
• 年，卷（期）: 2007,（5）
• 页码范围: 512-521
• 页数: 10页
• 语种: 英文

摘要

In this paper,the theoretical analysis for the Rayleigh quotient matrix is studied,some results of the Rayleigh quotient(matrix)of Hermitian matrices are extended to those for arbitrary matrix on one hand.On the other hand,some unitarily invariant norm bounds for singular values are presented for Rayleigh quotient matrices.Our results improve the existing bounds.