Article
On the pivot structure for the weighing matrix W(12,11)
Faculty of Informatics - Papers (Archive)
RIS ID
22510
Publication Date
1-9-2007
Abstract
C. Koukouvinos, M. Mitrouli and Jennifer Seberry, in "Growth in Gaussian elimination for weighing matrices, W(n, n — 1)", Linear Algebra and its Appl., 306 (2000), 189-202, conjectured that the growth factor for Gaussian elimination of any completely pivoted weighing matrix of order n and weight n — 1 is n — 1 and that the first and last few pivots are (1, 2, 2, 3 or 4, ... , n — 1 or n — 1) for n > 14. In the present paper we concentrate our study on the growth problem for the weighing matrix W(12, 11) and we show that the unique W(12,11) has three pivot structures.
Disciplines
Citation Information
C. Kravvaritis, M. Mitrouli and Jennifer Seberry. "On the pivot structure for the weighing matrix W(12,11)" (2007) Available at: http://works.bepress.com/jseberry/13/
This article was originally published as Kravvaritis, C, Mitrouli, M, Seberry, J, On the pivot structure for the weighing matrix W(12,11), Linear and Multilinear Algebra, 55(5), 471-490. The original article is available here.