On the Rayleigh Quotient for Singular Values

On the Rayleigh Quotient for Singular Values

Year:    2007

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 5 : pp. 512–521

Abstract

In this paper, the theoretical analysis for the Rayleigh quotient matrix is studied, and 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-JCM-8709

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 5 : pp. 512–521

Published online:    2007-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    The singular value Rayleigh quotient Canonical angle matrix.