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ANTS
2008
Springer
110views Algorithms» more  ANTS 2008»
13 years 9 months ago
Computing Hilbert Class Polynomials
We present and analyze two algorithms for computing the Hilbert class polynomial HD. The first is a p-adic lifting algorithm for inert primes p in the order of discriminant D < ...
Juliana Belding, Reinier Bröker, Andreas Enge...
JSC
2002
61views more  JSC 2002»
13 years 7 months ago
Subquadratic Computation of Vector Generating Polynomials and Improvement of the Block Wiedemann Algorithm
This paper describes a new algorithm for computing linear generators (vector generating polynomials) for matrix sequences, running in subquadratic time. This algorithm applies in ...
Emmanuel Thomé
ISSAC
1998
Springer
101views Mathematics» more  ISSAC 1998»
13 years 12 months ago
Efficient Algorithms for Computing the Nearest Polynomial with Constrained Roots
Continuous changes of the coefficients of a polynomial move the roots continuously. We consider the problem finding the minimal perturbations to the coefficients to move a root to...
Markus A. Hitz, Erich Kaltofen
AISC
2006
Springer
13 years 11 months ago
An Algorithm for Computing the Complete Root Classification of a Parametric Polynomial
Abstract. The Complete Root Classification for a univariate polynomial with symbolic coefficients is the collection of all the possible cases of its root classification, together w...
Songxin Liang, David J. Jeffrey
SIAMSC
2011
177views more  SIAMSC 2011»
13 years 2 months ago
Computing f(A)b via Least Squares Polynomial Approximations
Given a certain function f, various methods have been proposed in the past for addressing the important problem of computing the matrix-vector product f(A)b without explicitly comp...
Jie Chen, Mihai Anitescu, Yousef Saad