A generalisation of Mirsky's singular value inequalities

Abstract

We prove an f-version of Mirsky's singular value inequalities for differences of matrices. This f-version consists in applying a positive concave function f, with f(0)=0, to every singular value in the original Mirsky inequalities.

arXiv comment8 pages

References in corpus (1)

• Problems and Conjectures in Matrix and Operator Inequalities

Cited by in corpus (2)

• Harmonic Mean Iteratively Reweighted Least Squares for Low-Rank Matrix Recovery
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