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A NEW PARALLEL POLYNOMIAL DIVISION BY A SEPARABLE POLYNOMIAL VIA HERMITE INTERPOLATION WITH APPLICATIONS
dc.creator | Kechriniotis, A. I. | en |
dc.creator | Delibasis, K. K. | en |
dc.creator | Tsonos, C. | en |
dc.creator | Petropoulos, N. | en |
dc.date.accessioned | 2015-11-23T10:34:34Z | |
dc.date.available | 2015-11-23T10:34:34Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 1537-9582 | |
dc.identifier.uri | http://hdl.handle.net/11615/29351 | |
dc.description.abstract | A new parallel division of polynomials by a common separable divisor over a perfect field is presented and this is done by expressing the remainders as derivatives of a unique polynomial. In order to get this results, a novel variant expression of the classical Lagrange-Sylvester Hermite interpolating polynomial has been utilised, although any known variant may be used. The above findings are utilized to obtain a number of new identities involving polynomial derivatives, including a closed formula for the semi-simple part of the Jordan decomposition of a matrix. | en |
dc.source.uri | <Go to ISI>://WOS:000309158500006 | |
dc.subject | Euclidean polynomial division | en |
dc.subject | Hermite interpolation | en |
dc.subject | Semisimple part of | en |
dc.subject | a matrix | en |
dc.subject | DECOMPOSITION | en |
dc.subject | CONSTRUCTION | en |
dc.subject | Mathematics | en |
dc.title | A NEW PARALLEL POLYNOMIAL DIVISION BY A SEPARABLE POLYNOMIAL VIA HERMITE INTERPOLATION WITH APPLICATIONS | en |
dc.type | journalArticle | en |
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