TY  - JOUR
T1  - Several Schur complement inequalities on block Hadamard product
AU  - Ozel, Mustafa
AU  - Ileri, Ayca
PY  - 2017
DA  - October
JF  - New Trends in Mathematical Sciences
PB  - Mustafa BAYRAM
WT  - DergiPark
SN  - 2147-5520
SP  - 242
EP  - 247
VL  - 5
IS  - 4
LA  - en
AB  - 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.
KW  - Block matrices
KW  - block Hadamard product
KW  - Schur complement
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CR  - 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.
CR  - F. Zhang, Matrix Theory: Basic results and techniques, Springer, 2011.
UR  - http://dergipark.org.tr/tr/pub/ntims/issue//547358
L1  - http://dergipark.org.tr/tr/download/article-file/684524
ER  -