Some considerations of matrix equations using the concept of reproductivity

Časopis: Kragujevac Journal of Mathematics

Volume, no: 36 , 1

ISSN: 1450-9628

Stranice: 151-161

Link: https://imi.pmf.kg.ac.rs/kjm/pub/13476281114491_kjom3601-16.pdf

Apstrakt:
In this paper we analyse Cline’s matrix equation, generalized Penrose’s matrix system and a matrix system for k-commutative {1}-inverses. We determine reproductive and non-reproductive general solutions of analysed matrix equation and analysed matrix systems.
Ključne reči: Reproductive equation; reproductive solution; matrix system