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Closed forms for powers and inverses of special matrices
- Publication Year :
- 2020
-
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 $s$-th powers and the inverses for special upper triangular matrices and the $s$-th powers for special non-triangular matrices. The used tools are Lagrange inversion formula and the partial Bell polynomials.
- Subjects :
- Mathematics - Combinatorics
15A16, 15A29, 15B99
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2008.13287
- Document Type :
- Working Paper