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» Faster algorithms for the characteristic polynomial
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ICCV
2011
IEEE
13 years 9 months ago
Optimizing Polynomial Solvers for Minimal Geometry Problems
In recent years polynomial solvers based on algebraic geometry techniques, and specifically the action matrix method, have become popular for solving minimal problems in computer...
Oleg Naroditsky, Kostas Daniilidis
FOCS
2008
IEEE
15 years 4 months ago
Computing the Tutte Polynomial in Vertex-Exponential Time
The deletion–contraction algorithm is perhaps the most popular method for computing a host of fundamental graph invariants such as the chromatic, flow, and reliability polynomi...
Andreas Björklund, Thore Husfeldt, Petteri Ka...
CASC
2010
Springer
160views Mathematics» more  CASC 2010»
14 years 8 months ago
Factorization of Polynomials and GCD Computations for Finding Universal Denominators
We discuss the algorithms which, given a linear difference equation with rational function coefficients over a field k of characteristic 0, compute a polynomial U(x) ∈ k[x] (a ...
Sergei A. Abramov, A. Gheffar, D. E. Khmelnov
ISSAC
2009
Springer
184views Mathematics» more  ISSAC 2009»
15 years 4 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
COCO
2007
Springer
106views Algorithms» more  COCO 2007»
15 years 3 months ago
The Complexity of Polynomials and Their Coefficient Functions
We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of V...
Guillaume Malod