Ahmad Abu Rahma, Aliaa Burqan, Özen Özer, "New Results for Arithmetic –Geometric Mean Inequalities and
Singular Values in Matrices," WSEAS Transactions on Mathematics, vol. 20, pp. 625-629, 2021, DOI:10.37394/23206.2021.20.66
Ahmad Abu Rahma, Aliaa Burqan, Özen Özer. New Results for Arithmetic –Geometric Mean Inequalities and
Singular Values in Matrices.
WSEAS Transactions on Mathematics. 2021;20:625-629. 10.37394/23206.2021.20.66
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 20, 2021
New Results for Arithmetic –Geometric Mean Inequalities and
Singular Values in Matrices
Authors: , ,
Abstract: 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.
Keywords:
Arithmetic-Geometric Mean, Hermitian Matrix, Singular Values, Positive definite Matrix, Block Matrix.
Pages: 625-629 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 20, 2021, Art. #66 DOI: 10.37394/23206.2021.20.66
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