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Matematicheskie Zametki, 2009, Volume 85, Issue 1, Pages 73–88
DOI: https://doi.org/10.4213/mzm4034 (Mi mzm4034) 		 
Algorithm for Calculating the Roots of Polynomials with Coefficients in the Ring of Polynomials over an Arbitrary Integral Domain

A. Maevskiy

Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences
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DOI: https://doi.org/10.4213/mzm4034
Abstract: A deterministic algorithm for calculating the roots of polynomials in one variable with coefficients in the ring of polynomials in several variables over an arbitrary integral domain is constructed. An estimate for the arithmetic complexity of the algorithm in the worst case is obtained.
Keywords: root of a polynomial, deterministic algorithm, integral domain, polynomial ring, arithmetic complexity, algebraic-geometric code, principal prime ideal.
Received: 20.08.2007
English version:
Mathematical Notes, 2009, Volume 85, Issue 1, Pages 68–81
DOI: https://doi.org/10.1134/S0001434609010076
Bibliographic databases:
UDC: 512.662
Language: Russian
Citation: A. Maevskiy, “Algorithm for Calculating the Roots of Polynomials with Coefficients in the Ring of Polynomials over an Arbitrary Integral Domain”, Mat. Zametki, 85:1 (2009), 73–88; Math. Notes, 85:1 (2009), 68–81
Citation in format AMSBIB
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