Trace and determinant inequalities for Hadamard Products
International Journal of the Physcal Sciences, cilt.7, sa.1, ss.1-4, 2012 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 7 Sayı: 1
- Basım Tarihi: 2012
- Dergi Adı: International Journal of the Physcal Sciences
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
- Sayfa Sayıları: ss.1-4
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
ABSTRACT
In this paper, several inequalities involving positive integer powers of the Hadamard product of two
matrices are presented. Firstly, a new upper bound for the product of their determinants and an
inequality that relates the trace of the power of the Hadamard product of two matrices are given. Also,
an alternative proof of the theorem established by Ulukok and Turkmen (2010) was given on the
Frobenius norm of the power of the Hadamard product of two nonnegative matrices.
Key words: Hadamard product, trace inequalities, matrix norm.