New Results for Arithmetic-Geometric Mean Inequality and Singular Values of Matrices
WSEAS Transactions on Mathematics, cilt.20, ss.625-629, 2021 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 20
- Basım Tarihi: 2021
- Doi Numarası: 10.37394/23206.2021.20.66
- Dergi Adı: WSEAS Transactions on Mathematics
- Derginin Tarandığı İndeksler: Scopus, INSPEC, zbMATH
- Sayfa Sayıları: ss.625-629
- Anahtar Kelimeler: Arithmetic-geometric mean, Block matrix, Hermitian matrix, Positive definite matrix, Singular values
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kırklareli Üniversitesi Adresli: Evet
Özet
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.