Majorization and singular values. III.

Bapat, R. B. (1991) Majorization and singular values. III. Linear Algebra and its Applications, 145 . pp. 59-70. ISSN 0024-3795

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We obtain a majorization inequality which relates the singular values of a complex square matrix A and those of TA where T is a linear map. The inequality takes a particularly simple form if T is positive. The results generalize several known majorization inequalities for eigenvalues and singular values.

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Deposited On:19 Jan 2012 06:31
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