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Matrix inequalities with applications to the theory of iterated kernels
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Matrix inequalities with applications to the theory of iterated kernels
Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/10631
| Title: | Matrix inequalities with applications to the theory of iterated kernels |
| Author: | Banks, William David, 1964-; Harcharras, Asma; Neuwirth, Stefan; Ricard, Eric |
| Keywords: |
repeated kernel
square matrices |
| Date: | 2003 |
| Abstract: | For an m × n matrix A with nonnegative real entries, Atkinson, Moran and Watterson proved the inequality s(A)3 ≤ mns(AAtA), where At is the transpose of A, and s(·) is the sum of the entries. We extend this result to finite products of the form AAtAAt . . .A or AAtAAt . . .At and give some applications to the theory of iterated kernels. |
| URI: | http://hdl.handle.net/10355/10631 |
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Mathematics publications (MU) [119]
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