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ISSAC
2009
Springer
167views Mathematics» more  ISSAC 2009»
15 years 11 months ago
High order derivatives and decomposition of multivariate polynomials
In this paper, we present an improved method for decomposing multivariate polynomials. This problem, also known as the Functional Decomposition Problem (FDP) [17, 9, 27], is class...
Jean-Charles Faugère, Ludovic Perret
MKM
2005
Springer
15 years 9 months ago
Processing Textbook-Style Matrices
In mathematical textbooks matrices are often represented as objects of indefinite size containing abbreviations. To make the knowledge implicitly given in these representations av...
Alan P. Sexton, Volker Sorge
ISSAC
2004
Springer
91views Mathematics» more  ISSAC 2004»
15 years 9 months ago
A poly-algorithmic approach to simplifying elementary functions
Simplification has been long recognised to be a fundamental problem within computer algebra[17]. However, even for the class of elementary functions, it has not been resolved in ...
James C. Beaumont, Russell J. Bradford, James H. D...
AISC
1994
Springer
15 years 8 months ago
Using Commutativity Properties for Controlling Coercions
This paper investigates some soundness conditions which have to be fulfilled in systems with coercions and generic operators. A result of Reynolds on unrestricted generic operators...
Stephan A. Missura, Andreas Weber
CORR
2010
Springer
147views Education» more  CORR 2010»
15 years 4 months ago
Chunky and Equal-Spaced Polynomial Multiplication
Finding the product of two polynomials is an essential and basic problem in computer algebra. While most previous results have focused on the worst-case complexity, we instead emp...
Daniel S. Roche