Adelaide Research & Scholarship
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https://hdl.handle.net/2440/341
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| Type: | Journal article |
| Title: | Some new bounds for singular values and eigenvalues of matrix products |
| Author: | Lu, L-Z. Pearce, Charles Edward Miller |
| Citation: | Annals of Operations Research, 2001; 98 (1-4):141-148 |
| Publisher: | Kluwer Academic |
| Issue Date: | 2001 |
| ISSN: | 0254-5330 |
| School/Discipline: | School of Mathematical Sciences : Applied Mathematics |
| Statement of Responsibility: | L.-Z. Lu and C.E.M. Pearce |
| 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. |
| Description: | The original publication is available at www.springerlink.com |
| DOI: | 10.1023/A:1019200322441 |
| Published version: | http://www.springerlink.com/content/k89153061m525xn6/ |
| Appears in Collections: | Applied Mathematics publications |
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