THE SYMMETRIC AND SYMMETRIC POSITIVE SEMIDEFINITE SOLUTIONS OF LINEAR MATRIX EQUATION——BTXB = D ON LINEAR MANIFOLDS

被引：5
|
作者：
邓远北
胡锡炎
张磊
机构：
[1] Challgsha 410082 PRC
[2] Changsha 410082 PRC
[3] College of Mathematics and Econometrics
[4] Hunan Computing Center
[5] Hunan UniVersity
[6] Hunan University
来源：
NumericalMathematicsAJournalofChineseUniversities(EnglishSeries) | 2003年 / 02期
关键词：
matrix equation; matrix norm; linear manifold; symmetric (positive semidefinite) matrix; optimal approximation;
D O I：
暂无
中图分类号：
O151.21 [矩阵论];
学科分类号：
070104 ;
摘要：
This paper discusses the solutions of the linear matrix equation B;XB=D on some linear manifolds. Some necessary and sufficient conditions for the existence of the solution and the expression of the general solution are given. And also some optimal approximation solutions are discussed.
引用
收藏
页码：186 / 192
页数：7
相关论文
共 50 条
  • [21] THE ANTI-SYMMETRIC ORTHO-SYMMETRIC SOLUTIONS OF THE MATRIX EQUATION AT X A = D
    Xiao, Qing-Feng
    Hu, Xi-Yan
    Zhang, Lei
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2009, 18 : 21 - 29
  • [22] On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems
    Wang, Qing-Wen
    Yu, Juan
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (19) : 9872 - 9884
  • [23] SOLUTION OF LARGE SYSTEMS OF LINEAR EQUATIONS WITH SYMMETRIC AND POSITIVE SEMIDEFINITE MATRIX USING A METHOD OF LIMITED LOOK-AHEAD
    SCHURMAN.J
    EISENHAR.V
    ANGEWANDTE INFORMATIK, 1973, (12): : 542 - 548
  • [24] Linear Weingarten hypersurfaces in locally symmetric manifolds
    Chao, Xiaoli
    Wang, Peijun
    BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS, 2014, 19 (02): : 50 - 59
  • [25] Linear Weingarten hypersurfaces in locally symmetric manifolds
    Chao, Xiaoli
    Wang, Peijun
    HOKKAIDO MATHEMATICAL JOURNAL, 2017, 46 (01) : 29 - 40
  • [26] SYMMETRIC POSITIVE LINEAR DIFFERENTIAL EQUATIONS
    FRIEDRICHS, KO
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1958, 11 (03) : 333 - 418
  • [27] ITERATIVE METHODS FOR LINEAR-EQUATIONS WITH SYMMETRIC POSITIVE DEFINITIVE MATRIX
    MARTIN, DW
    TEE, GJ
    COMPUTER JOURNAL, 1961, 4 : 242 - &
  • [28] The anti-symmetric ortho-symmetric solution of a linear matrix equation and its optimal approximation
    Yu L.
    Zhang K.
    Shi Z.
    Journal of Applied Mathematics and Computing, 2008, 27 (1-2) : 97 - 106
  • [29] An Iterative Algorithm for the Generalized Center Symmetric Solutions of a Class of Linear Matrix Equation and Its Optimal Approximation
    Liu, Jie
    Li, Qingchun
    Advances in Intelligent Systems and Computing, 2013, 212 : 155 - 161
  • [30] An Iterative method for the Symmetric Solutions of the Linear Matrix Equations with Several Variables
    Zhang, Kaiyuan
    Zheng, Fengqin
    Zhou, Bingchang
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON APPLIED MATRIX THEORY, 2009, : 240 - 242
12345