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» On Coherence in Computer Algebra
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SODA
1990
ACM
49views Algorithms» more  SODA 1990»
15 years 6 months ago
Factor Refinement
Let O be an order of an algebraic number field. It was shown by Ge that given a factorization of an O-ideal a into a product of O-ideals it is possible to compute in polynomial tim...
Eric Bach, James R. Driscoll, Jeffrey Shallit
AMC
2008
86views more  AMC 2008»
15 years 5 months ago
Numerical solution of stochastic Nash games with state-dependent noise for weakly coupled large-scale systems
This paper discusses the infinite horizon stochastic Nash games with state-dependent noise. After establishing the asymptotic structure along with the positive semidefiniteness for...
Muneomi Sagara, Hiroaki Mukaidani, Toru Yamamoto
133
Voted
IIE
2006
130views more  IIE 2006»
15 years 5 months ago
Animation Tools of CAS for Dynamic Exploration of Mathematics
Abstract. The scope of the paper is animation facilities of computer algebra systems (CAS). Animation offers opportunities for visualization of complex mathematical concepts, provi...
Joana Lipeikiene, Antanas Lipeika
162
Voted
JSC
2011
99views more  JSC 2011»
14 years 8 months ago
Sparse polynomial division using a heap
In 1974, Johnson showed how to multiply and divide sparse polynomials using a binary heap. This paper introduces a new algorithm that uses a heap to divide with the same complexit...
Michael B. Monagan, Roman Pearce
CASC
2011
Springer
262views Mathematics» more  CASC 2011»
14 years 5 months ago
Practical Divide-and-Conquer Algorithms for Polynomial Arithmetic
We investigate two practical divide-and-conquer style algorithms for univariate polynomial arithmetic. First we revisit an algorithm originally described by Brent and Kung for comp...
William Hart, Andrew Novocin