Some Singular Value Inequalities for Convex Functions of Matrices

Paper Details

Authors: Alrimawi F.

DOI: 10.28924/2291-8639-24-2026-55

Journal: International Journal of Analysis and Applications

Year: 2026

Publisher: Etamaths Publishing

Document Type: Article

Open Access: All Open Access; Gold Open Access

Cited by: 1

Abstract

In this paper, we obtain some upper bounds for singular value inequalities for convex functions of matrices. Some applications involving the spectral norm and numerical radii of matrices were given. Among other inequalities, we prove that for A, B ∈ Mn (C) and for any nonnegative increasing convex function f on [0, ∞) with f (0) = 0, we have (Formula Presented),where a, b ≥ 0 and j = 1, …, n. Also, an upper bound for ‖ReA‖ were given.. © 2026 the author(s).

Keywords

infrastructure; numerical radius; sanitation; singular value; spectral norm

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