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New Results for Arithmetic-Geometric Mean Inequality and Singular Values of Matrices

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Matrix theory is very popular in different kind of sciences such as engineering, architecture, physics, chemistry, computer science, IT, so on as well as mathematics many theoretical results dealing with the structure of the matrices even this topic seems easy to work. That is why many scientists still consider some open problem in matrix theory. In this paper, generalizations of the arithmetic-geometric mean inequality is presented for singular values related to block matrices. Singular values are also given for sums, products and direct sums of the matrices.

Arithmetic-Geometric meanHermitian matrixSingular valuesPositive definite matrixBlock matrix

AHMAD ABU RAHMA、ALIAA BURQAN、OZEN OZER

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Zarqa University

Department of Mathematics, Zarqa University

Department of Mathematics, University

2021

WSEAS Transactions on Mathematics

WSEAS Transactions on Mathematics

ISSN:1109-2769
年,卷(期):2021.20