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ISSAC
1997
Springer
125views Mathematics» more  ISSAC 1997»
13 years 9 months ago
A Modular Algorithm for Computing Greatest Common Right Divisors of Ore Polynomials
Abstract. This paper presents a modular algorithm for computing the greatest common right divisor (gcrd) of two univariate Ore polynomials over Z[t]. The subresultants of Ore polyn...
Ziming Li, István Nemes
ISSAC
1998
Springer
111views Mathematics» more  ISSAC 1998»
13 years 9 months ago
A Subresultant Theory for Ore Polynomials with Applications
The subresultant theory for univariate commutative polynomials is generalized to Ore polynomials. The generalization includes: the subresultant theorem, gap structure, and subresu...
Ziming Li
ISSAC
2001
Springer
119views Mathematics» more  ISSAC 2001»
13 years 10 months ago
Algorithms for trigonometric polynomials
In this paper we present algorithms for simplifying ratios of trigonometric polynomials and algorithms for dividing, factoring and computing greatest common divisors of trigonomet...
Jamie Mulholland, Michael B. Monagan
ISSAC
2007
Springer
199views Mathematics» more  ISSAC 2007»
13 years 11 months ago
A sparse modular GCD algorithm for polynomials over algebraic function fields
We present a first sparse modular algorithm for computing a greatest common divisor of two polynomials f1, f2 ∈ L[x] where L is an algebraic function field in k ≥ 0 paramete...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
TCS
2008
13 years 5 months ago
Approximate GCDs of polynomials and sparse SOS relaxations
The problem of computing approximate GCDs of several polynomials with real or complex coefficients can be formulated as computing the minimal perturbation such that the perturbed ...
Bin Li, Jiawang Nie, Lihong Zhi