Work

Generalizations of recent singular value inequalities for sums of products of matrices

Year: 2024

Type: article

Abstract: Given four n ? n complex matrices A, B, X, Y, finding possible bounds for the singular values of the new matrix AX + YB has been of interest. In this paper, we discuss this interest and prove some new bounds that sharpen recently found bounds in the literature. Applications of the obtained results include bounds for unitarily invariant bounds and bounds for the real part of certain matrix forms.

Source: Filomat

DOI: 10.2298/fil2428905a

Authors: Wasim Audeh, Hamid Moradi, Mohammad Sababheh

Institutions: Petra University, Islamic Azad University, Mashhad, Princess Sumaya University for Technology

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: University of Petra

OpenAlex ID: W4411449458

FWCI: 1.556

Cites: 25

Cited by: 5

Related to: 10