Reproductive and non-reproductive solutions of the matrix equation AXB=C

Details Reproductive and non-reproductive solutions of the matrix equation AXB=C Reproductive and non-reproductive solutions of the matrix equation AXB=C

2011-08-24

arxiv.org/abs/1108.4867v4

Mathematics

Rings and Algebras

Proceedings of the second symposium on Mathematics and Applications, Faculty of Mathematics, Belgrade, 27-28.05.2011

Scientific paper

In this article we consider a consistent matrix equation $AXB = C$ when a particular solution $X_{0}$ is given and we represent a new form of the general solution which contains both reproductive and non-reproductive solutions (it depends on the form of particular solution $X_{0}$). We also analyse the solutions of some matrix systems using the concept of reproductivity and we give a new form of the condition for the consistency of the matrix equation $AXB=C$.

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