Araştırma Makalesi
BibTex RIS Kaynak Göster

Several Schur complement inequalities on block Hadamard product

Yıl 2017, Cilt: 5 Sayı: 4, 242 - 247, 01.10.2017

Mustafa Ozel , Ayca Ileri

https://izlik.org/JA22GA65XE

Öz

The Schur complement theory is very important in many areas such as statistics, matrix analysis, numerical analysis, and control theory. It is a powerful tool to discuss many significant results. This paper deals with the inequalities involving block Hadamard product of positive definite matrices. By using the definition and the properties of block Hadamard product, we obtain useful inequalities on the Schur complement of the block Hadamard product of two positive definite matrices and their inverses. Finally, we give some numerical examples which confirm our theoritical analysis.

Anahtar Kelimeler

Block matrices block Hadamard product Schur complement

Kaynakça

  • M. Günther, L. Klotz, Schur’s theorem for a block Hadamard product, Linear Algebra and its Applications, 437(2012) 948-956.
  • R. A. Horn, R. Mathias, and Y. Nakamura, Inequalilities for Unitarily Invariant Norms and Bilinear Matrix Products, Linear and Multilinear Algebra, 30(1991), 303-314.
  • B. Wang, F. Zhang, Trace and eigenvalue inequaities for ordinary and Hadamard products of positive semidefinite Hermitian matrices, SIAM J. Matrix Anal. Appl., 16(1995) 1173-1183.
  • F. Zhang, Matrix Theory: Basic results and techniques, Springer, 2011.

Yıl 2017, Cilt: 5 Sayı: 4, 242 - 247, 01.10.2017

Mustafa Ozel , Ayca Ileri

https://izlik.org/JA22GA65XE

Öz

Kaynakça

  • M. Günther, L. Klotz, Schur’s theorem for a block Hadamard product, Linear Algebra and its Applications, 437(2012) 948-956.
  • R. A. Horn, R. Mathias, and Y. Nakamura, Inequalilities for Unitarily Invariant Norms and Bilinear Matrix Products, Linear and Multilinear Algebra, 30(1991), 303-314.
  • B. Wang, F. Zhang, Trace and eigenvalue inequaities for ordinary and Hadamard products of positive semidefinite Hermitian matrices, SIAM J. Matrix Anal. Appl., 16(1995) 1173-1183.
  • F. Zhang, Matrix Theory: Basic results and techniques, Springer, 2011.
Toplam 4 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Mustafa Ozel

Ayca Ileri Bu kişi benim

Yayımlanma Tarihi 1 Ekim 2017
IZ https://izlik.org/JA22GA65XE
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 4

Kaynak Göster

APA Ozel, M., & Ileri, A. (2017). Several Schur complement inequalities on block Hadamard product. New Trends in Mathematical Sciences, 5(4), 242-247. https://izlik.org/JA22GA65XE
AMA 1.Ozel M, Ileri A. Several Schur complement inequalities on block Hadamard product. New Trends in Mathematical Sciences. 2017;5(4):242-247. https://izlik.org/JA22GA65XE
Chicago Ozel, Mustafa, ve Ayca Ileri. 2017. “Several Schur complement inequalities on block Hadamard product”. New Trends in Mathematical Sciences 5 (4): 242-47. https://izlik.org/JA22GA65XE.
EndNote Ozel M, Ileri A (01 Ekim 2017) Several Schur complement inequalities on block Hadamard product. New Trends in Mathematical Sciences 5 4 242–247.
IEEE [1]M. Ozel ve A. Ileri, “Several Schur complement inequalities on block Hadamard product”, New Trends in Mathematical Sciences, c. 5, sy 4, ss. 242–247, Eki. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA22GA65XE
ISNAD Ozel, Mustafa - Ileri, Ayca. “Several Schur complement inequalities on block Hadamard product”. New Trends in Mathematical Sciences 5/4 (01 Ekim 2017): 242-247. https://izlik.org/JA22GA65XE.
JAMA 1.Ozel M, Ileri A. Several Schur complement inequalities on block Hadamard product. New Trends in Mathematical Sciences. 2017;5:242–247.
MLA Ozel, Mustafa, ve Ayca Ileri. “Several Schur complement inequalities on block Hadamard product”. New Trends in Mathematical Sciences, c. 5, sy 4, Ekim 2017, ss. 242-7, https://izlik.org/JA22GA65XE.
Vancouver 1.Mustafa Ozel, Ayca Ileri. Several Schur complement inequalities on block Hadamard product. New Trends in Mathematical Sciences [Internet]. 01 Ekim 2017;5(4):242-7. Erişim adresi: https://izlik.org/JA22GA65XE