Matrix equations AX ± XT AT = B over an arbitrary regular ring

被引：3
作者：
Khan, Israr Ali [1 ]
Wang, Qing-Wen [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPPLICATIONS, VOL 1 | 2009年
关键词：
Matrix equation; Regular ring; Reflexive inverse of a matrix; Inner inverse of a matrix; SYSTEMS;
D O I：
10.1145/1838002.1838049
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider the matrix equations AX +/- X(T) A(T) = B over R, an arbitrary regular ring with identity. Necessary and sufficient conditions for the existence and new expressions of the general solutions to the equations are derived.
引用
收藏
页码：1 / 4
页数：4
相关论文
共 50 条
  • [21] Circulant Solutions of the Matrix Equations AX=C and AXB=C
    Bueno, Aldous Cesar F.
    PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES, 2014, 1602 : 657 - 661
  • [22] On the Moore-Penrose inverses of block matrices over a regular ring
    Zhang, Li-cheng
    Liao, Zu-hua
    Advances in Matrix Theory and Applications, 2006, : 222 - 225
  • [23] ON THE REFLEXIVE SOLUTIONS OF THE MATRIX EQUATION AX B plus CY D = E
    Dehghan, Mehdi
    Hajarian, Masoud
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (03) : 511 - 519
  • [24] A new iteration method for the matrix equation AX = B
    Guo, Konghua
    Hu, Xiyan
    Zhang, Lei
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (02) : 1434 - 1441
  • [25] The equation XT AX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?
    Borobia, Alberto
    Canogar, Roberto
    De Teran, Fernando
    LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (13) : 2114 - 2143
  • [26] Numerical algorithms for solving matrix equations AX plus BX T = C and AX plus BX* = C
    Vorontsov, Yu. O.
    Ikramov, Khakim D.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2013, 53 (06) : 667 - 676
  • [27] The least squares stochastic solutions of the matrix equation AX=B
    Li, Fangying
    Peng, Jingjing
    Peng, Zhenyun
    PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE OF MATRICES AND OPERATORS (MAO 2012), 2012, : 140 - 144
  • [28] The Bisymmetric Fixed Rank Solutions of the Matrix Equation AX = B
    Zhou, Fuzhao
    Liu, Ruijuan
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 472 - 475
  • [29] Solutions with special structure to the linear matrix equation AX = B
    Li, Ying
    Zhang, Fengxia
    Guo, Wenbin
    Zhao, Jianli
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) : 374 - 383
  • [30] A note on "A new iteration method for the matrix equation AX = B''
    Zhou, Weijun
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (21) : 10639 - 10641
12345