Matrix inequalities in the Lowner ordering by means of Schur complement and block matrices
by Cheng Zeng; Gantong He
International Journal of Computing Science and Mathematics (IJCSM), Vol. 9, No. 2, 2018

Abstract: It has been evident that a Schur complement plays an important role in many aspects of matrix theory, in statistics, as well as in applied mathematics. The purpose of this article is to present a family of matrix inequalities involving the Kronecker product, Hadamard product and ordinary sum. Our theorems contain or extend some existing known results.

Online publication date: Mon, 14-May-2018

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