Closed forms for powers and inverses of special matrices
Combinatorics
2023-11-13 v3
Abstract
This contribution is motivated by old and recent works on matrix powers and their applications on combinatorial sequences. We give in this paper the -th powers and the inverses for special upper triangular matrices and the -th powers for special non-triangular matrices. The used tools are Lagrange inversion formula and the partial Bell polynomials.
Cite
@article{arxiv.2008.13287,
title = {Closed forms for powers and inverses of special matrices},
author = {Miloud Mihoubi},
journal= {arXiv preprint arXiv:2008.13287},
year = {2023}
}