On the pivot structure for the weighing matrix W(12,11)
Titel:
On the pivot structure for the weighing matrix W(12,11)
Auteur:
Kravvaritis, Christos Mitrouli, Marilena Seberry, Jennifer
Verschenen in:
Linear & multilinear algebra
Paginering:
Jaargang 55 (2007) nr. 5 pagina's 471-490
Jaar:
2007-09
Inhoud:
In the present article we concentrate our study on the growth problem for the weighing matrix W(12,11) and show that the unique W(12,11) has three pivot structures. An improved algorithm for extending a k × k (0,+,-) matrix to a W(n,n-1), if possible, has been developed to simplify the proof. For the implementation of the algorithm special emphasis is given to the notions of data structures and parallel processing.