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COMPUTATIONAL ALGORITHMS FOR ALGEBRAIC OPERATIONS ON MULTIDIMENSIONAL POLYNOMIALS.

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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


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