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2015

On Singular Value Inequalities for the Sum of Two Matrices

Loyka, Sergey

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A counter-example to lower bounds for the singular values of the sum of two matrices in [1] and [2] is given.

Correct forms of the bounds are pointed out.

On Singular Value Inequalities for the Sum of Two Matrices · Around

Built on

R.A. Horn, C.R. Johnson, Topics in Matrix Analysis, Cambridge University Press, 1991
Original
1991
Earlier work this paper cites.

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A.W. Marshall, I. Olkin, B.C. Arnold, Inequalities: Theory of Majorization and Its Applications, Springer, New York, 2011
2011
Cited alongside, same era.

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F. Zhang, Matrix Theory, Springer, New York, 2011
2011
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