Some considerations in relation to the matrix equation AXB=C

Časopis: Mediterranean Journal of Mathematics

Volume, no: 11 , 3

ISSN: 1660-5446

DOI: 10.1007/s00009-014-0421-2

Stranice: 841-856

Link: https://doi.org/10.1007/s00009-014-0421-2

Apstrakt:
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.
Ključne reči: Matrix equation AXB=C; reproductive equation; reproductive solution