Bhatia, R. ; Ando, T. (1987) Eigenvalue inequalities associated with the cartesian decomposition Linear and Multilinear Algebra, 22 (2). pp. 133-147. ISSN 0308-1087
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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0308108...
Related URL: http://dx.doi.org/10.1080/03081088708817828
Abstract
Let T=A+iB where A B are Hermitian matrices. We obtain several inequalities relating the lp distance between the eigenvalues of A and those of iB with the Schatten p-norm of T. The majorization results which lead to these inequalities are also used to get simple proofs of some known lower and upper bounds for the determinant of T.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Taylor and Francis Ltd. |
| ID Code: | 97450 |
| Deposited On: | 11 Feb 2013 05:52 |
| Last Modified: | 11 Feb 2013 05:52 |
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