Inequalities involving Hadamard products of centrosymmetric matrices
نویسندگان
چکیده
منابع مشابه
On inequalities involving the Hadamard product of matrices
Abstract. Recently, the authors established a number of inequalities involving integer powers of the Hadamard product of two positive de nite Hermitian matrices. Here these results are extended in two ways. First, the restriction to integer powers is relaxed to include all real numbers not in the open interval ( 1; 1). Second, the results are extended to the Hadamard product of any nite number ...
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Let A and B be n n positive semidefinite Hermitian matrices, let c and/ be real numbers, let o denote the Hadamard product of matrices, and let Ak denote any k )< k principal submatrix of A. The following trace and eigenvalue inequalities are shown: tr(AoB) <_tr(AoBa), c_<0or_> 1, tr(AoB)a_>tr(AaoBa), 0_a_ 1, A1/a(A o Ba) <_ Al/(Az o B), a <_ /,a O, Al/a[(Aa)k] <_ A1/[(A)k], a <_/,a/ 0. The equ...
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1 Department of Mathematics, K.K. Education Faculty, Atatürk University, Campus, 25240 Erzurum, Turkey 2 Research Group in Mathematical Inequalities & Applications, School of Engineering & Science, Victoria University, P.O. Box 14428, Melbourne City, VIC 8001, Australia 3 School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, So...
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ژورنال
عنوان ژورنال: New Trends in Mathematical Science
سال: 2018
ISSN: 2147-5520
DOI: 10.20852/ntmsci.2018.322