SOME RESULTS ON BLOCK KRONECKER AND BLOCK HADAMARD PRODUCT OF MATRICES

Özel M.

JOURNAL OF MATHEMATICAL INEQUALITIES, cilt.15, sa.2, ss.461-466, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.7153/jmi-2021-15-34
  • Dergi Adı: JOURNAL OF MATHEMATICAL INEQUALITIES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.461-466
  • Anahtar Kelimeler: Block Kronecker product, block Hadamard product, positive definite matrices, matrix inequalities
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this paper, we first construct a relationship between a block Kronecker product and a block Hadamard product of matrices. Then we give some power rules for the block Kronecker product of matrices under commutation assumptions. We extend some inequalities for powers of the block Hadamard product of a finite number of positive definite Hermitian matrices.