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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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0024-3795(91)90287-7

Abstract

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.

Item Type:Article
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ID Code:78326
Deposited On:19 Jan 2012 06:31
Last Modified:19 Jan 2012 06:31

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