Some considerations in relation to the matrix equation AXB=C

2011/08/11 by Biljana Radičić, Biljana Radicic, Radicic, Biljana +3
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Mathematics and Applications #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1108.2485

openalex publication_date 2011/08/11 · arxiv created 2012/12/03 · arxiv updated 2012/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related

• Reproductive and non-reproductive solutions of the matrix equation AXB=C
• Some considerations of matrix equations using the concept of reproductivity
• A note on solutions of linear systems
• On the consistency of the matrix equation X^\top A X=B when B is symmetric: the case where CFC(A) includes skew-symmetric blocks
• On the solution of the linear matrix equation X=Af(X)B+C