A general factorization method for multivariable polynomials

Mastorakis, NE; Theodorou, NJ; Tzafestas, SG

dc.contributor.author	Mastorakis, NE	en
dc.contributor.author	Theodorou, NJ	en
dc.contributor.author	Tzafestas, SG	en
dc.date.accessioned	2014-03-01T01:09:39Z
dc.date.available	2014-03-01T01:09:39Z
dc.date.issued	1994	en
dc.identifier.issn	0923-6082	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11126
dc.subject	factorization	en
dc.subject	Multidimensional systems	en
dc.subject	multivariable (multidimensional) polynomials	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Algorithms	en
dc.subject.other	Automation	en
dc.subject.other	Codes (symbols)	en
dc.subject.other	Distributed parameter control systems	en
dc.subject.other	Multivariable systems	en
dc.subject.other	Stability criteria	en
dc.subject.other	System stability	en
dc.subject.other	Theorem proving	en
dc.subject.other	Transfer functions	en
dc.subject.other	Computer code	en
dc.subject.other	Factorization	en
dc.subject.other	Multidimensional systems	en
dc.subject.other	Multivariable polynomials	en
dc.subject.other	Polynomials	en
dc.title	A general factorization method for multivariable polynomials	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00986976	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00986976	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	The problem of factorizing a multivariable or multidimensional (m-D) polynomial f (z1, z2, ..., zm), with real or complex coefficients and independent variables, into a number of m-D polynomial factors that may involve any independent variable or combination of them is considered. The only restriction imposed is that all factors should be linear in one and the same variable (say z1). This type of factorization is very near to the most general type: {Mathematical expression} and appears to be the most general type available. The method is first briefly sketched for the convenience of the reader, and then is presented in detailed form through a number of theorems. These theorems provide a clear algorithmic way for the factorization, which may be automated via a suitable computer code. The factorization of m-D polynomials simplifies the stability analysis and the realization of m-D systems, as well as the solution of distributed parameters systems. © 1994 Kluwer Academic Publishers.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Multidimensional Systems and Signal Processing	en
dc.identifier.doi	10.1007/BF00986976	en
dc.identifier.isi	ISI:A1994NE19100003	en
dc.identifier.volume	5	en
dc.identifier.issue	2	en
dc.identifier.spage	151	en
dc.identifier.epage	178	en