Triangular Matrices and Combinatorial Inversion Formulas
Matematičeskie zametki, Tome 85 (2009) no. 1, pp. 12-21.

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper is devoted to the construction of the matrix inverse of an infinite triangular matrix and to finding the connection coefficients between polynomial sequences and general combinatorial inversion formulas.
Keywords: triangular matrix, combinatorial inversion formula, polynomial sequence, Fibonacci numbers, ordered partition of a natural number, Stirling numbers.
Mots-clés : paradeterminant
@article{MZM_2009_85_1_a1,
     author = {R. A. Zatorskii and A. R. Malyarchuk},
     title = {Triangular {Matrices} and {Combinatorial} {Inversion} {Formulas}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {12--21},
     publisher = {mathdoc},
     volume = {85},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_1_a1/}
}
TY  - JOUR
AU  - R. A. Zatorskii
AU  - A. R. Malyarchuk
TI  - Triangular Matrices and Combinatorial Inversion Formulas
JO  - Matematičeskie zametki
PY  - 2009
SP  - 12
EP  - 21
VL  - 85
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2009_85_1_a1/
LA  - ru
ID  - MZM_2009_85_1_a1
ER  - 
%0 Journal Article
%A R. A. Zatorskii
%A A. R. Malyarchuk
%T Triangular Matrices and Combinatorial Inversion Formulas
%J Matematičeskie zametki
%D 2009
%P 12-21
%V 85
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2009_85_1_a1/
%G ru
%F MZM_2009_85_1_a1
R. A. Zatorskii; A. R. Malyarchuk. Triangular Matrices and Combinatorial Inversion Formulas. Matematičeskie zametki, Tome 85 (2009) no. 1, pp. 12-21. http://geodesic.mathdoc.fr/item/MZM_2009_85_1_a1/

[1] R. A. Zators'kiĭ, “On paradeterminants and parapermanents of triangular matrices”, Mat. Stud., 17:1 (2002), 3–17 | MR | Zbl

[2] R. Stenli, Perechislitelnaya kombinatorika, Mir, M., 1990 | MR | Zbl

[3] G. Endryus, Teoriya razbienii, Nauka, M., 1982 | MR | Zbl

[4] R. A. Zatorskii, “Opredeliteli treugolnykh matrits i traektorii na diagrammakh Ferre”, Matem. zametki, 72:6 (2002), 834–852 | MR | Zbl

[5] M. Aigner, Kombinatornaya teoriya, Mir, M., 1982 | MR | Zbl

[6] Dzh. Riordan, Kombinatornye tozhdestva, Nauka, M., 1982 | MR | Zbl