Three new algorithms for multivariate polynomial GCD (original) (raw)

Four New Algorithms for Multivariate Polynomial GCD

Tateaki Sasaki

2016

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GPGCD, an iterative method for calculating approximate GCD, for multiple univariate polynomials

Akira Terui

ACM SIGSAM Bulletin, 2011

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GPGCD: An iterative method for calculating approximate GCD of univariate polynomials

Akira Terui

Theoretical Computer Science, 2013

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A Symbolic-Numeric Software Package for the Computation of the GCD of Several Polynomials

N. Karcanias

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A simple algorithm for GCD of polynomials

Sonnino Giorgio

Annals of mathematics and physics, 2022

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Using an efficient sparse minor expansion algorithm to compute polynomial subresultants and GCD

Martin Griss

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GCDHEU: Heuristic polynomial GCD algorithm based on integer GCD computation

Bruce Char

Journal of Symbolic Computation, 1989

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Simple algorithm for GCD of polynomials

Pasquale Nardone

ArXiv, 2022

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Approximate GCD of Multivariate Polynomials

H. W.

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Numerical methods for computing the greatest common divisor of univariate polynomials using floating point arithmetic

Markus Hegland

ANZIAM Journal, 2019

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High-performance polynomial GCD computations on graphics processors

Pavel Emeliyanenko

2011 International Conference on High Performance Computing & Simulation, 2011

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Algorithms for computing greatest common divisors of parametric multivariate polynomials

Michael Monagan

Journal of Symbolic Computation, 2021

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GPGCD, an Iterative Method for Calculating Approximate GCD of Univariate Polynomials, with the Complex Coefficients

Akira Terui

Eprint Arxiv 1007 1834, 2010

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A sparse modular GCD algorithm for polynomials over algebraic function fields

Michael Monagan

Proceedings of the 2007 international symposium on Symbolic and algebraic computation - ISSAC '07, 2007

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Algorithms for polynomial GCD computation over algebraic function fields

Michael Monagan

Proceedings of the 2004 international symposium on Symbolic and algebraic computation - ISSAC '04, 2004

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Serdica Journal of Computing ON THE REMAINDERS OBTAINED IN FINDING THE GREATEST COMMON DIVISOR OF TWO POLYNOMIALS

Gennadi Malaschonok

2015

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Computing the Greatest Common Divisor of Polynomials Using the Comrade Matrix

Shamsatun Nahar Ahmad

Lecture Notes in Computer Science, 2008

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On the genericity of the modular polynomial GCD algorithm

Michael Monagan

1999

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Resultant properties of gcd of many polynomials and a factorization representation of gcd

N. Karcanias

International Journal of Control, 2003

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Computing Approximate GCD of Univariate Polynomials by Structure Total Least Norm 1)

Lihong Zhi

2000

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Algorithms for the non-monic case of the sparse modular GCD algorithm

Michael Monagan

Proceedings of the 2005 international symposium on Symbolic and algebraic computation - ISSAC '05, 2005

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An alternating projection algorithm for the “approximate” GCD calculation

George Halikias

IFAC-PapersOnLine

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On the Remainders Obtained in Finding the Greatest Common Divisor of Two Polynomials

Gennadi Malaschonok

Serdica Journal of Computing, 2016

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A novel fast hybrid GCD computation algorithm

Kamel Mohamed Faraoun

International Journal of Computing Science and Mathematics, 2014

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Numerical univariate polynomial GCD

Henri Lombardi

LECTURES IN APPLIED …, 1996

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Computing univariate GCDs over number fields

Michael Monagan

Symposium on Discrete Algorithms, 1998

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Title Approximate GCD of Multivariate Polynomials (Theory and Application in Computer Algebra)

Matu-tarow Noda

2000

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On a modular algorithm for computing GCDs of polynomials over algebraic number fields

MARK ROMER ENCARNACION

Proceedings of the international symposium on Symbolic and algebraic computation - ISSAC '94, 1994

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Computing greatest common divisors and squarefree decompositions through matrix methods: The parametric and approximate cases

Gema M. Díaz Toca

Linear Algebra and Its Applications, 2006

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