Open AccessTrace inequalities for a block Hadamard product
Author(s) -
Saliha Pehlivan,
Mustafa Özel,
Cenap Özel
Publication year - 2018
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1801285p
Subject(s) - mathematics , hadamard product , hadamard's inequality , hadamard transform , trace (psycholinguistics) , kronecker product , hadamard three lines theorem , complex hadamard matrix , hadamard's maximal determinant problem , hadamard matrix , block (permutation group theory) , product (mathematics) , hadamard three circle theorem , eigenvalues and eigenvectors , norm (philosophy) , pure mathematics , combinatorics , algebra over a field , kronecker delta , mathematical analysis , geometry , linguistics , philosophy , physics , quantum mechanics , political science , law
In this paper, some inequalities for the trace and eigenvalues of a block Hadamard product of positive semidefinite matrices are investigated. In particular, a H?lder 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.