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» Computing Tutte Polynomials
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CASES
2004
ACM
14 years 1 months ago
Analytical computation of Ehrhart polynomials: enabling more compiler analyses and optimizations
Many optimization techniques, including several targeted specifically at embedded systems, depend on the ability to calculate the number of elements that satisfy certain conditio...
Sven Verdoolaege, Rachid Seghir, Kristof Beyls, Vi...
CSC
2006
13 years 9 months ago
Computational Algorithm for Higher Order Legendre Polynomial and Gaussian Quadrature Method
: - There are many numerical methods adopted to solve mathematical problems. Early researchers focused on the methods to reduce computational costs. In recent years, reduction in c...
Asif Mughal, Xiu Ye, Kamran Iqbal
JUCS
2007
88views more  JUCS 2007»
13 years 7 months ago
A Comparison of Various Methods for Computing Bounds for Positive Roots of Polynomials
Abstract: The recent interest in isolating real roots of polynomials has revived interest in computing sharp upper bounds on the values of the positive roots of polynomials. Until ...
Alkiviadis G. Akritas, Panagiotis S. Vigklas
FOCS
1991
IEEE
13 years 11 months ago
Computing Sums of Radicals in Polynomial Time
For sums of radicals Pk i=1 i di p i, where i; i are elements of some real algebraic number eld Q( ); di p i 2 R; we present a deterministic polynomial time algorithm to decide wh...
Johannes Blömer
CASC
2010
Springer
160views Mathematics» more  CASC 2010»
13 years 6 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