Some Considerations in Relation to the Matrix Equation AXB = C

被引：0
|
作者：
Radicic, Biljana [1 ]
Malesevic, Branko [2 ]
机构：
[1] Univ Belgrade, Fac Civil Engn, Belgrade, Serbia
[2] Univ Belgrade, Fac Elect Engn, Belgrade 11001, Serbia
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2014年 / 11卷 / 03期
关键词：
Matrix equation AXB = C; reproductive equation; reproductive solution; RINGS;
D O I：
10.1007/s00009-014-0421-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we represent a new form of condition for the consistency of the matrix equation AXB = C. If the matrix equation AXB = C is consistent, we determine a form of general solution which contains both reproductive and non-reproductive solutions. Also, we consider applications of the concept of reproductivity for obtaining general solutions of some matrix systems which are in relation to the matrix equation AXB = C.
引用
收藏
页码：841 / 856
页数：16
相关论文
共 50 条
  • [21] THE MATRIX EQUATION X-AXB=C AND AN ANALOG OF ROTH THEOREM
    WIMMER, HK
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1988, 109 : 145 - 147
  • [22] The parameterized accelerated iteration method for solving the matrix equation AXB = C
    Tian, Zhaolu
    Duan, Xuefeng
    Wu, Nian-Ci
    Liu, Zhongyun
    NUMERICAL ALGORITHMS, 2024, 97 (02) : 843 - 867
  • [23] On the generalized ADI method for the matrix equation X-AXB = C
    Thiran, JP
    Matelart, M
    Le Bailly, B
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 156 (02) : 285 - 302
  • [24] Least Squares η - Hermitian Solution for Quaternion Matrix Equation AXB = C
    Yuan, Shifang
    INFORMATION COMPUTING AND APPLICATIONS, PT 1, 2012, 307 : 300 - 305
  • [25] The Iteration Solution of Matrix Equation AXB = C Subject to a Linear Matrix Inequality Constraint
    Huang, Na
    Ma, Changfeng
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [26] On the randomized block Kaczmarz algorithms for solving matrix equation AXB = C
    Niu, Yu-Qi
    Zheng, Bing
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 460
  • [27] The Nonsingular Solution to the Matrix Equation AXB=C over Skew Fields
    Zhang, Licheng
    Liao, Zuhua
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPPLICATIONS, VOL 1, 2009, : 368 - 371
  • [28] Solving the Dual Generalized Commutative Quaternion Matrix Equation AXB = C
    Shi, Lei
    Wang, Qing-Wen
    Xie, Lv-Ming
    Zhang, Xiao-Feng
    SYMMETRY-BASEL, 2024, 16 (10):
  • [29] SOLVING THE MATRIX INEQUALITY AXB plus (AXB)* ≥ C
    Tian, Yongge
    von Rosen, Dietrich
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (03): : 537 - 548
  • [30] Optimal approximate solution of the matrix equation AXB = C over symmetric matrices
    College of Mathematics and Econometrics, Hunan University, Changsha 410082, China
    J Comput Math, 2007, 5 (543-552):
12345