Geodesic
The difference matrices of the classes of a Sharma-Kaushik partition
Archivum mathematicum, Tome 40 (2004) no. 1, pp. 23-31.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Sharma-Kaushik partitions have been used to define distances between vectors with $n$-coordinates. In this paper, “difference matrices” for the partitioning classes have been introduced and investigated. It has been shown that the difference matrices are circulant and that the entries of a product of matrices is an extended intersection number of a distance scheme. The sum of the entries of each row or columns of the product matrix has been obtained. The algebra of matrices generated by the difference matrices of the classes of an SK-partition have another natural basis. The relationship between these two bases has been given.
Classification : 05B10, 05B20, 05E30, 94B99
Keywords: SK-partitions; distance scheme; extended intersection number 
@article{ARM_2004__40_1_a2,
     author = {Sharma, Bhu Dev and Sookoo, Norris},
     title = {The difference matrices of the classes of a {Sharma-Kaushik} partition},
     journal = {Archivum mathematicum},
     pages = {23--31},
     publisher = {mathdoc},
     volume = {40},
     number = {1},
     year = {2004},
     mrnumber = {2054869},
     zbl = {1114.05101},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2004__40_1_a2/}
}
TY  - JOUR
AU  - Sharma, Bhu Dev
AU  - Sookoo, Norris
TI  - The difference matrices of the classes of a Sharma-Kaushik partition
JO  - Archivum mathematicum
PY  - 2004
SP  - 23
EP  - 31
VL  - 40
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_2004__40_1_a2/
LA  - en
ID  - ARM_2004__40_1_a2
ER  - 
%0 Journal Article
%A Sharma, Bhu Dev
%A Sookoo, Norris
%T The difference matrices of the classes of a Sharma-Kaushik partition
%J Archivum mathematicum
%D 2004
%P 23-31
%V 40
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_2004__40_1_a2/
%G en
%F ARM_2004__40_1_a2
Sharma, Bhu Dev; Sookoo, Norris. The difference matrices of the classes of a Sharma-Kaushik partition. Archivum mathematicum, Tome 40 (2004) no. 1, pp. 23-31. http://geodesic.mathdoc.fr/item/ARM_2004__40_1_a2/