Values of minors of some infinite families of matrices constructed from supplementary difference sets and their application to the growth problem

Koukouvinos, C; Mitrouli, M; Seberry, J

dc.contributor.author	Koukouvinos, C	en
dc.contributor.author	Mitrouli, M	en
dc.contributor.author	Seberry, J	en
dc.date.accessioned	2014-03-01T01:23:19Z
dc.date.available	2014-03-01T01:23:19Z
dc.date.issued	2005	en
dc.identifier.issn	0024-3795	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16905
dc.subject	Complete pivoting	en
dc.subject	Gaussian elimination	en
dc.subject	Growth	en
dc.subject	Minors	en
dc.subject	Supplementary difference sets	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Applications	en
dc.subject.other	Mathematical models	en
dc.subject.other	Moderators	en
dc.subject.other	Pattern recognition	en
dc.subject.other	Problem solving	en
dc.subject.other	Set theory	en
dc.subject.other	Complete pivoting	en
dc.subject.other	Gaussian elimination	en
dc.subject.other	Growth	en
dc.subject.other	Minors	en
dc.subject.other	Supplementary difference sets	en
dc.subject.other	Matrix algebra	en
dc.title	Values of minors of some infinite families of matrices constructed from supplementary difference sets and their application to the growth problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.laa.2005.04.010	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.laa.2005.04.010	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	We obtain explicit formulae for the values of the 2v - j minors, i = 0, 1, 2 of some infinite families of matrices of order 2v constructed from supplementary difference sets of the form 2 - {v; k(1), k(2); lambda}. This allows us to obtain information on the growth problem for families of matrices with moderate growth. Several examples specifying the pivot pattern of these matrices are presented and a conjecture about their pivot structure is posed. (c) 2005 Elsevier Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Linear Algebra and Its Applications	en
dc.identifier.doi	10.1016/j.laa.2005.04.010	en
dc.identifier.isi	ISI:000231351000010	en
dc.identifier.volume	406	en
dc.identifier.issue	1-3	en
dc.identifier.spage	218	en
dc.identifier.epage	234	en