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
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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