Volume 25, Issue 5
On the Rayleigh Quotient for Singular Values
DOI:

J. Comp. Math., 25 (2007), pp. 512-521

Published online: 2007-10

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• Abstract

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.

• Keywords

The singular value Rayleigh quotient Canonical angle matrix

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