Some Lowner partial orders for Kronecker products and compound matrices of Schur complements of matrices

被引：0
|
作者：
机构：
来源：
| 2001年 / Jishou University卷 / 22期
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, combining generalized Schur complements of matrices with Kronecker products of matrices and compound matrices, we study some Lowner partial orders for Kronecker products and compound matrices of products of Schur complements of matrices, and obtain an inequality for singular values of Kronecker products of matrices, thus improve recent results.
引用
收藏
相关论文
共 50 条
  • [21] Nonnegativity of Schur complements of nonnegative idempotent matrices
    Friedland, Shmuel
    Virnik, Elena
    [J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2008, 17 : 426 - 435
  • [22] General H-matrices and their Schur complements
    Cheng-yi Zhang
    Fengmin Xu
    Zongben Xu
    Jicheng Li
    [J]. Frontiers of Mathematics in China, 2014, 9 : 1141 - 1168
  • [23] DIAGONAL-SCHUR COMPLEMENTS OF NEKRASOV MATRICES
    Wang, Shiyun
    Li, Qi
    Sun, Xu
    Lyu, Zhen-Hua
    [J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2023, 39 : 539 - 555
  • [24] SOME PROPERTIES OF HADAMARD MATRICES GENERATED RECURSIVELY BY KRONECKER PRODUCTS
    ARAZI, B
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1979, 25 (01) : 27 - 39
  • [25] Special H-matrices and their Schur and diagonal-Schur complements
    Cvetkovic, Ljiljana
    Nedovic, Maja
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (01) : 225 - 230
  • [26] Matrix inequalities in the Lowner ordering by means of Schur complement and block matrices
    Zeng, Cheng
    He, Gantong
    [J]. INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2018, 9 (02) : 133 - 141
  • [27] Kronecker Products of Positive Semidefinite Matrices
    李炯生
    [J]. Journal of Mathematical Research with Applications, 1997, (03) : 10 - 17
  • [28] On Schur Complements of Cvetković-Kostić-Varga Type Matrices
    Xinnian Song
    Lei Gao
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46
  • [29] On Schur complements of sign regular matrices of order k
    Huang, Rong
    Liu, Jianzhou
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 433 (01) : 143 - 148
  • [30] Further results on H-matrices and their Schur complements
    Cvetkovic, Ljiljana
    Kostic, Vladimir
    Kovacevic, Maja
    Szulc, Tomasz
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 198 (02) : 506 - 510
12345