Some new bounds for singular values and eigenvalues of matrix products

Date

2001

Authors

Lu, L-Z.
Pearce, Charles Edward Miller

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Journal article

Citation

Annals of Operations Research, 2001; 98 (1-4):141-148

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

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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.

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School of Mathematical Sciences : Applied Mathematics

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The original publication is available at www.springerlink.com

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