Trace Inequalities for a Block Hadamard Product

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Pehlivan S., ÖZEL M., Ozel C.

FILOMAT, cilt.32, sa.1, ss.285-292, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1801285p
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.285-292
  • Anahtar Kelimeler: Block Hadamard Product, Trace, Positive (Semi)Definite Matrices, Majorization, Norm
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this paper, some inequalities for the trace and eigenvalues of a block Hadamard product of positive semidefinite matrices are investigated. In particular, a Holder type inequality and inequalities related to norm and determinants of block matrices are obtained. Additionally, the relation between the trace of block Hadamard product and the usual Kronecker product is established.