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CASC
2009
Springer
119views Mathematics» more  CASC 2009»
15 years 5 months ago
A Symbolic Framework for Operations on Linear Boundary Problems
Abstract. We describe a symbolic framework for treating linear boundary problems with a generic implementation in the Theorema system. For ordinary differential equations, the ope...
Markus Rosenkranz, Georg Regensburger, Loredana Te...
ISSAC
2009
Springer
123views Mathematics» more  ISSAC 2009»
15 years 5 months ago
Schemes for deterministic polynomial factoring
In this work we relate the deterministic complexity of factoring polynomials (over finite fields) to certain combinatorial objects, we call m-schemes, that are generalizations o...
Gábor Ivanyos, Marek Karpinski, Nitin Saxen...
ISSAC
2009
Springer
184views Mathematics» more  ISSAC 2009»
15 years 5 months ago
An iterative method for calculating approximate GCD of univariate polynomials
We present an iterative algorithm for calculating approximate greatest common divisor (GCD) of univariate polynomials with the real coefficients. For a given pair of polynomials a...
Akira Terui
SMI
2008
IEEE
116views Image Analysis» more  SMI 2008»
15 years 4 months ago
Self-organizing primitives for automated shape composition
Motivated by the ability of living cells to form into specific shapes and structures, we present a new approach to shape modeling based on self-organizing primitives whose behavi...
Linge Bai, Manolya Eyiyurekli, David E. Breen
ISSAC
2007
Springer
106views Mathematics» more  ISSAC 2007»
15 years 4 months ago
Numerical techniques for computing the inertia of products of matrices of rational numbers
Consider a rational matrix, particularly one whose entries have large numerators and denominators, but which is presented as a product of very sparse matrices with relatively smal...
John P. May, B. David Saunders, David Harlan Wood