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ISSAC
2005
Springer
97views Mathematics» more  ISSAC 2005»
13 years 11 months ago
Probabilistic algorithms for computing resultants
Let A and B be two polynomials in   [x,y] and let R = resx(A, B) denote the resultant of A and B taken wrt x. In this paper we modify Collins’ modular algorithm for computing R...
Michael B. Monagan
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
13 years 11 months ago
Algorithms for the non-monic case of the sparse modular GCD algorithm
Let G = (4y2 + 2z)x2 + (10y2 + 6z) be the greatest common divisor (gcd) of two polynomials A, B ∈   [x,y, z]. Because G is not monic in the main variable x, the sparse modular ...
Jennifer de Kleine, Michael B. Monagan, Allan D. W...
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert
BMCBI
2005
104views more  BMCBI 2005»
13 years 5 months ago
Wildfire: distributed, Grid-enabled workflow construction and execution
Background: We observe two trends in bioinformatics: (i) analyses are increasing in complexity, often requiring several applications to be run as a workflow; and (ii) multiple CPU...
Francis Tang, Ching Lian Chua, Liang-Yoong Ho, Yun...