Some new results on the qualitative theory of generalized polynomials

Maroulas, J; Barnett, S

dc.contributor.author	Maroulas, J	en
dc.contributor.author	Barnett, S	en
dc.date.accessioned	2014-03-01T01:37:55Z
dc.date.available	2014-03-01T01:37:55Z
dc.date.issued	1978	en
dc.identifier.issn	02724960	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21831
dc.title	Some new results on the qualitative theory of generalized polynomials	en
heal.type	journalArticle	en
heal.identifier.primary	10.1093/imamat/22.1.53	en
heal.identifier.secondary	http://dx.doi.org/10.1093/imamat/22.1.53	en
heal.publicationDate	1978	en
heal.abstract	A polynomial is termed generalized when it is expressed in terms of an arbitrary orthogonal basis. A number of classical results on the qualitative analysis of polynomials in power form are extended to the generalized case. In particular, a Routh-type tabular array, and a Sylvester-type matrix are derived, for determining the greatest common divisor of two polynomials in generalized form. This leads to an analogue of the Routh-Hurwitz criteria for stability and zero location of a generalized polynomial. A number of related applications of the techniques are also discussed. © 1978, by Academic Press Inc. (London) Ltd.	en
heal.journalName	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)	en
dc.identifier.doi	10.1093/imamat/22.1.53	en
dc.identifier.volume	22	en
dc.identifier.issue	1	en
dc.identifier.spage	53	en
dc.identifier.epage	70	en