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Generalized Singular Value Inequalities for Matrices

Authors
Vuk StojiljkovićEnergma research partner

Faculty of Science, University of Novi Sad, Trg Dositeja Obradovića 3, 21000 Novi Sad, Serbia

Fuad KittanehMath Phd

University of Jordan, Queen Rania Street (University Street) Al-Jubeiha, Amman, Jordan

Published: January 21rd 2026

We are proud to announce that our research partner brought a sharper perspective on the relationships between the singular values of matrices.

In this paper, he has established new singular value inequalities for matrix products and sums.

These results generalize and refine bounds previously given by Al-Natoor et al. ([9, 11]), providing a more comprehensive framework for analyzing relationships between singular values, numerical radii, and unitarily invariant norms. The derived inequalities offer sharper bounds for a broader class of matrix expressions.

Read the full scientific paper here.

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