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.
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页码：841 / 856
页数：16
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