A new algorithm for division of polynomials

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


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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

Item Type: Book Section
Digital Object Identifier (DOI): doi:10.1142/9781860949524_0166
ISBNs: 1860943454
Related URLs:
Subjects: L Education > L Education (General)
Q Science > QA Mathematics
Divisions : University Structure - Pre August 2011 > School of Education > Mathematics and Science Education
ePrint ID: 174475
Accepted Date and Publication Date:
Date Deposited: 14 Feb 2011 10:09
Last Modified: 31 Mar 2016 13:32
URI: http://eprints.soton.ac.uk/id/eprint/174475

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