For complex matrices A and B there are inequalities related to the diagonal elements of AB and the singular values of A and B. We study the conditions on the matrices for which those inequalities become equalities. In all cases, the conditions are both necessary and sufficient.
β¦ LIBER β¦
On constructing matrices with prescribed singular values and diagonal elements
β Scribed by Moody T. Chu
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 837 KB
- Volume
- 288
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
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Thomspon and Sing's result on the singular values and the diagonal elements of a complex n X n matrix has been recently extended to arbitrary m matrices, by Lei and by Miranda and Thompson independently. The real case in which the determinant of the product of the m real matrices is nonnegative (or