In algebra, the greatest common divisor (frequently abbreviated as GCD) of two polynomials is a polynomial, of the highest possible degree, that is aâ€¦Â (More)

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2014

2014

- 2014

In mathematics, the greatest common divisor (gcd), also known as the greatest common factor (gcf), highest common factor (hcfâ€¦Â (More)

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2011

2011

This paper presents a regularization theory for numerical computation of polynomial greatest common divisors and a convergenceâ€¦Â (More)

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2007

2007

- Nor'aini Aris, Shamsatun Nahar Ahmad
- ASCM
- 2007

The comrade matrix of a polynomial is an analogue of the companion matrix when the matrix is expressed in terms of a generalâ€¦Â (More)

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2004

2004

- Jounaidi Abdeljaoued, Gema MarÃa DÃaz-Toca, Laureano GonzÃ¡lez-Vega
- Int. J. Comput. Math.
- 2004

Minors of Bezout matrices, subresultants and the parameterization of the degree of the polynomial greatest common divisor Jâ€¦Â (More)

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2003

2003

- G. D. Halikias, S. Fatouros, Nicos Karcanias
- 2003 European Control Conference (ECC)
- 2003

In this note the following problem is considered: Given two monic coprime polynomials a(s) and b(s) with real coefficients, findâ€¦Â (More)

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2000

2000

- Christopher J. Zarowski, Xiaoyan Ma, Frederick W. Fairman
- IEEE Trans. Signal Processing
- 2000

This paper presents a novel means of computing the greatest common divisor (GCD) of two polynomials with real-valued coefficientsâ€¦Â (More)

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1997

1997

- Ziming Li, IstvÃ¡n Nemes
- ISSAC
- 1997

This paper presents a modular algorithm for computing the greatest common right divisor (gcrd) of two univariate Ore polynomialsâ€¦Â (More)

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Highly Cited

1988

Highly Cited

1988

- Erich Kaltofen, Barry M. Trager
- FOCS
- 1988

Algorithms are developed that adopt a novel implicit representation for multivariate polynomials and rational functions withâ€¦Â (More)

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1974

1974

- Alfonso Miola, David Y. Y. Yun
- ACM SIGSAM Bulletin
- 1974

Two Hensel-type univariate polynomial Greatest Common Divisor (GCD) algorithms are presented and compared. The regular linearâ€¦Â (More)

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Highly Cited

1971

Highly Cited

1971

- W. S. Brown
- J. ACM
- 1971

This paper examines the computation of polynomial greatest common divisors by various generalizations of Euclid's algorithm. Theâ€¦Â (More)

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