COMPUTATIONAL ALGORITHMS FOR ALGEBRAIC OPERATIONS ON MULTIDIMENSIONAL POLYNOMIALS.

Tzafestas, SG; Theodorou, NJ

dc.contributor.author	Tzafestas, SG	en
dc.contributor.author	Theodorou, NJ	en
dc.date.accessioned	2014-03-01T01:07:06Z
dc.date.available	2014-03-01T01:07:06Z
dc.date.issued	1988	en
dc.identifier.issn	0020-7721	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9796
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.other	COMPUTER PROGRAMMING - Algorithms	en
dc.subject.other	ALGEBRAIC OPERATIONS	en
dc.subject.other	COMPUTATIONAL ALGORITHMS	en
dc.subject.other	MULTIDIMENSIONAL POLYNOMIALS	en
dc.subject.other	MATHEMATICAL TECHNIQUES	en
dc.title	COMPUTATIONAL ALGORITHMS FOR ALGEBRAIC OPERATIONS ON MULTIDIMENSIONAL POLYNOMIALS.	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/791684622	en
heal.identifier.secondary	http://dx.doi.org/10.1080/791684622	en
heal.language	English	en
heal.publicationDate	1988	en
heal.abstract	Algebraic operations on m-D (m-dimensional) polynomials (m greater than equivalent to 2) are considered. In particular the addition, multiplication and division of such polynomials are described by means of algorithms in appropriate computational form. The special case of division of a multidimensional polynomial by a polynomial of lower order in each variable is examined, and, apart from the corresponding algorithm, necessary and sufficient conditions for the existence of the quotient and a remainder polynomial of lower order than the divisor are introduced. These conditions can be formulated by inspection of the coefficients of the dividend and divisor polynomials.	en
heal.publisher	TAYLOR & FRANCIS LTD	en
heal.journalName	International Journal of Systems Science	en
dc.identifier.doi	10.1080/791684622	en
dc.identifier.isi	ISI:A1988M688400007	en
dc.identifier.volume	19	en
dc.identifier.issue	2	en
dc.identifier.spage	311	en
dc.identifier.epage	349	en