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» Algorithms for trigonometric polynomials
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121
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JSC
2011
99views more  JSC 2011»
14 years 3 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
123
Voted
ESA
2006
Springer
147views Algorithms» more  ESA 2006»
15 years 4 months ago
Univariate Polynomial Real Root Isolation: Continued Fractions Revisited
We present algorithmic, complexity and implementation results concerning real root isolation of integer univariate polynomials using the continued fraction expansion of real algeb...
Elias P. Tsigaridas, Ioannis Z. Emiris
130
Voted
ESA
2010
Springer
188views Algorithms» more  ESA 2010»
14 years 10 months ago
Contractions of Planar Graphs in Polynomial Time
Abstract. We prove that for every graph H, there exists a polynomial-time algorithm deciding if a planar graph can be contracted to H. We introduce contractions and topological min...
Marcin Kaminski, Daniël Paulusma, Dimitrios M...
74
Voted
ICML
2002
IEEE
16 years 1 months ago
Univariate Polynomial Inference by Monte Carlo Message Length Approximation
We apply the Message from Monte Carlo (MMC) algorithm to inference of univariate polynomials. MMC is an algorithm for point estimation from a Bayesian posterior sample. It partiti...
Leigh J. Fitzgibbon, David L. Dowe, Lloyd Allison
97
Voted
ICPPW
2005
IEEE
15 years 6 months ago
Factoring Solution Sets of Polynomial Systems in Parallel
We report on a £rst parallel implementation of a recent algorithm to factor positive dimensional solution sets of polynomial systems. As the algorithm uses homotopy continuation,...
Anton Leykin, Jan Verschelde