Geodesic
Determinants of Triangular Matrices and Trajectories on Ferre Diagrams
Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 834-852 
R. A. Zatorskii. Determinants of Triangular Matrices and Trajectories on Ferre Diagrams. Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 834-852. http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a5/
@article{MZM_2002_72_6_a5,
     author = {R. A. Zatorskii},
     title = {Determinants of {Triangular} {Matrices} and {Trajectories} on {Ferre} {Diagrams}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {834--852},
     year = {2002},
     volume = {72},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a5/}
}
TY  - JOUR
AU  - R. A. Zatorskii
TI  - Determinants of Triangular Matrices and Trajectories on Ferre Diagrams
JO  - Matematičeskie zametki
PY  - 2002
SP  - 834
EP  - 852
VL  - 72
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a5/
LA  - ru
ID  - MZM_2002_72_6_a5
ER  - 
%0 Journal Article
%A R. A. Zatorskii
%T Determinants of Triangular Matrices and Trajectories on Ferre Diagrams
%J Matematičeskie zametki
%D 2002
%P 834-852
%V 72
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a5/
%G ru
%F MZM_2002_72_6_a5

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

Some functions defined on the set of integer triangular matrices and their modifications are considered. These functions are analogs of the classical determinant and permanent functions and provide a powerful apparatus for studying sequences generated by linear recursive equations. Modifications of these functions are used to solve the problem about trajectories on Ferre diagrams and to establish new combinatorial identities.

[1] Zatorskii R. A., “Paraviznachniki ta parapermanenti trikutnikh matrits”, Matem. studiï, 17:1 (2002), 45–54 | MR

[2] Grekhem R., Knut D., Patashnik O., Konkretnaya matematika. Osnovanie informatiki, Mir, M., 1998

[3] Makdonald I., Simmetricheskie funktsii i mnogochleny Kholla, Mir, M., 1984

[4] Endryus G., Teoriya razbienii, Nauka, M., 1982