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...
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...
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...
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...