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A new algorithm for division of polynomials

Fan, Lianghuo, (2002) A new algorithm for division of polynomials Lee, H.P. and Kumar, K. (eds.) In Recent Advances in Computational Science and Engineering: Proceedings of the International Conference on Scientific and Engineering Computation (IC-SEC) 2002. World Scientific. 5 pp, pp. 717-721. (doi:10.1142/9781860949524_0166).

Record type: Conference or Workshop Item (Paper)


Division of polynomials has fundamental importance in algorithmic algebra, and is commonly encountered in many areas of mathematics as well as in scientific and engineering applications. The existing classical algorithm for polynomial division fails to provide an explicit way of determining the coefficients of the quotient and the remainder. In this paper, I present a new general theorem about division of polynomials, which provides a new and explicit algorithm for division of any two polynomials. A method of expressing a polynomial in polynomials of lower degrees is also obtained, as a corollary of the algorithm

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Published date: 2002
Venue - Dates: International Conference on Scientific and Engineering Computation (IC-SEC) 2002, Singapore, 2002-12-03 - 2002-12-05


Local EPrints ID: 174475
ISBN: 1860943454
PURE UUID: ea419fd3-f947-4bb1-bc86-87f22513a12d

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Date deposited: 14 Feb 2011 10:09
Last modified: 18 Jul 2017 12:11

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Author: Lianghuo Fan
Editor: H.P. Lee
Editor: K. Kumar

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