On inequalities involving the Hadamard product and norms of matrices

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Tezin Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Dokuz Eylül Üniversitesi, Fen Bilimleri Enstitüsü, MATEMATİK, Türkiye

Tezin Onay Tarihi: 2015

Tezin Dili: İngilizce

Öğrenci: DİLEK KAYAALP

Danışman: Mustafa Özel

Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu

Özet:

ABSTRACT

Inequalities in Hadamard product has been an active research area in the recent

years. In this thesis, the studies about Hadamard products of different type of

matrices, spectral radius of those matrices and inequalities on the spectral radius of

matrices are investigated. Furthermore, new lower and upper bounds are computed

for those inequalities involving spectral radius with the help of the norms of

matrices.

Keywords: Spectral radius, Hadamard product, matrix norm.