RT Journal Article
T1 Decompositions of matrices into a sum of invertible matrices and matrices of fixed nilpotence.
A1 Danchev, Peter
A1 García González, Esther
A1 Gómez-Lozano, Miguel Ángel
K1 Grupos nilpotentes
K1 Algebra lineal
K1 Matrices (Matemáticas)
AB For any n ≥ 2 and fixed k ≥ 1, we give necessary and sufficient conditions for an arbitrary nonzero squarematrix in the matrix ring Mn(F) to be written as a sum of an invertible matrix U and a nilpotent matrix N with Nk = 0 overan arbitrary field F.
PB International Linear Algebra Society
YR 2023
FD 2023-08-24
LK https://hdl.handle.net/10630/27992
UL https://hdl.handle.net/10630/27992
LA eng
NO Danchev, Peter & García, Esther & Lozano, Miguel. (2023). Decompositions of matrices into a sum of invertible matrices and matrices of fixed nilpotence. The Electronic Journal of Linear Algebra. 39. 460-471. 10.13001/ela.2023.7851.
NO The first-named author (Peter V. Danchev) was supported in part by the Bulgarian NationalScience Fund under Grant KP-06 No. 32/1 of December 07, 2019, as well as by the BIDEB 2221 of TÜBÍTAK,the second-named author (Esther García) was partially supported by Ayuda Puente 2022, URJC. The threeauthors were partially supported by the Junta de Andalucía FQM264.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026