文献类型：期刊文献

英文题名：Matrix inequalities in the Lowner ordering by means of Schur complement and block matrices

作者：Zeng, Cheng He, Gantong

第一作者：曾诚

通信作者：Zeng, C[1]|[14440724ae58632e7c57f]曾诚;

机构：[1]Guizhou Inst Technol, Sch Sci, Guiyang 550003, Guizhou, Peoples R China;[2]Guizhou Univ, Coll Nat Sci, Guiyang 550025, Guizhou, Peoples R China

第一机构：贵州理工学院理学院

通信机构：corresponding author), Guizhou Inst Technol, Sch Sci, Guiyang 550003, Guizhou, Peoples R China.|贵州理工学院理学院;贵州理工学院;

年份：2018

卷号：9

期号：2

起止页码：133-141

外文期刊名：INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS

收录：EI(收录号：20182205239342);Scopus(收录号：2-s2.0-85047312133);WOS:【ESCI(收录号:WOS:000432722900003)】；

基金：The research is supported by the National Basic Research Program of China ('973' Grant No. 2013CB328903), the National Natural Science Foundation of China (61763004, 61403055), the Joint Funds of the Natural Science Foundation Project of Guizhou [Grant no. LH (2014)7362], the Research Project of Chongqing Science and Technology Commission (cstc2014jcyjA40005). The authors also gratefully acknowledge the helpful comments and suggestions of the viewers, which have improved the presentation.

语种：英文

外文关键词：Schur complement; block matrix; Hadamard product; Kronecker product; Lowner ordering; matrix inequality; Moore-penrose inverse; Khatri-Rao product

摘要：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.