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ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
14 years 1 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
199views Mathematics» more  ISSAC 2007»
14 years 1 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
ISSAC
2007
Springer
142views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Fast arithmetic for triangular sets: from theory to practice
We study arithmetic operations for triangular families of polynomials, concentrating on multiplication in dimension zero. By a suitable extension of fast univariate Euclidean divi...
Xin Li, Marc Moreno Maza, Éric Schost
JACM
2000
119views more  JACM 2000»
13 years 7 months ago
A subdivision-based algorithm for the sparse resultant
Multivariate resultants generalize the Sylvester resultant of two polynomials and characterize the solvability of a polynomial system. They also reduce the computation of all comm...
John F. Canny, Ioannis Z. Emiris
ICALP
2007
Springer
14 years 1 months ago
Low Distortion Spanners
A spanner of an undirected unweighted graph is a subgraph that approximates the distance metric of the original graph with some specified accuracy. Specifically, we say H ⊆ G i...
Seth Pettie