Some New Bounds for Singular Values and Eigenvalues of Matrix Products

L.-Z. Lu and C.E.M. Pearce

Annals of Operations Research, 2000, vol. 98, issue 1, 148 pages

Abstract: For two Hermitian matrices A and B, at least one of which is positive semidefinite, we give upper and lower bounds for each eigenvalue of AB in terms of the eigenvalues of A and B. For two complex matrices A,B with known singular values, upper and lower bounds are deduced for each singular value of AB. Copyright Kluwer Academic Publishers 2000

Date: 2000
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DOI: 10.1023/A:1019200322441

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