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134
Voted
ISSAC
2007
Springer
199views Mathematics» more  ISSAC 2007»
15 years 6 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
177views Mathematics» more  ISSAC 2007»
15 years 6 months ago
Component-level parallelization of triangular decompositions
We discuss the parallelization of algorithms for solving polynomial systems symbolically by way of triangular decompositions. We introduce a component-level parallelism for which ...
Marc Moreno Maza, Yuzhen Xie
ISSAC
2007
Springer
163views Mathematics» more  ISSAC 2007»
15 years 6 months ago
POSIX threads polynomials(PTPol): a scalable implementation of univariate arithmetic operations
In this paper, we describe the design of a C library named PTPol implementing arithmetic operations for univariate polynomials and report on practical experiments showing the rele...
Mohab Safey El Din, Philippe Trebuchet
ISSAC
2007
Springer
162views Mathematics» more  ISSAC 2007»
15 years 6 months ago
Multiprocessed parallelism support in ALDOR on SMPs and multicores
We report on a high-level categorical parallel framework, written in the Aldor language, to support high-performance computer algebra on symmetric multi-processors and multicore p...
Marc Moreno Maza, Ben Stephenson, Stephen M. Watt,...
63
Voted
ISSAC
2007
Springer
161views Mathematics» more  ISSAC 2007»
15 years 6 months ago
Loewy decomposition of linear differential equations
F. Schwarz
Mathematics
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