Some considerations of matrix equations using the concept of reproductivity
Kragujevac Journal of Mathematics, Tome 36 (2012) no. 1, p. 151
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.
Classification :
15A24
Keywords: Reproductive equation, reproductive solution, matrix system
Keywords: Reproductive equation, reproductive solution, matrix system
@article{KJM_2012_36_1_a15,
author = {Branko Male\v{s}evi\'c and Biljana Radi\v{c}i\'c},
title = {Some considerations of matrix equations using the concept of reproductivity},
journal = {Kragujevac Journal of Mathematics},
pages = {151 },
year = {2012},
volume = {36},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2012_36_1_a15/}
}
Branko Malešević; Biljana Radičić. Some considerations of matrix equations using the concept of reproductivity. Kragujevac Journal of Mathematics, Tome 36 (2012) no. 1, p. 151 . http://geodesic.mathdoc.fr/item/KJM_2012_36_1_a15/