Authors: Cheng Zeng; Gantong He
Addresses: School of Science, Guizhou Institute of Technology, 550003, Guizhou, Guiyang, China ' College of Natural Science, Guizhou University, 550025, Guizhou, Guiyang, China
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.
Keywords: Schur complement; block matrix; Hadamard product; Kronecker product; Lowner ordering; matrix inequality; Moore-penrose inverse; Khatri-Rao product.
International Journal of Computing Science and Mathematics, 2018 Vol.9 No.2, pp.133 - 141
Accepted: 12 May 2017
Published online: 30 Apr 2018 *