Fast evaluation and root finding for polynomials with floating-point coefficients

Author:

Imbach Rémi1ORCID,Moroz Guillaume1ORCID

Affiliation:

1. Université de Lorraine, CNRS, Inria, LORIA, France

Publisher

ACM

Reference26 articles.

1. S. Basu , R. Pollack , and M.-R. Roy . 2006. Algorithms in Real Algebraic Geometry . Springer Berlin Heidelberg , Berlin, Heidelberg . 351–401 pages. S. Basu, R. Pollack, and M.-R. Roy. 2006. Algorithms in Real Algebraic Geometry. Springer Berlin Heidelberg, Berlin, Heidelberg. 351–401 pages.

2. A near-optimal subdivision algorithm for complex root isolation based on the Pellet test and Newton iteration

3. Dario  A. Bini and Giuseppe Fiorentino . 2000 . Design, analysis, and implementation of a multiprecision polynomial rootfinder. Numerical Algorithms 23, 2 (01 Jun 2000), 127–173. Dario A. Bini and Giuseppe Fiorentino. 2000. Design, analysis, and implementation of a multiprecision polynomial rootfinder. Numerical Algorithms 23, 2 (01 Jun 2000), 127–173.

4. Solving secular and polynomial equations: A multiprecision algorithm

5. Richard  P. Brent . 1976. MULTIPLE-PRECISION ZERO-FINDING METHODS AND THE COMPLEXITY OF ELEMENTARY FUNCTION EVALUATION . In Analytic Computational Complexity, J.F. Traub (Ed.). Academic Press , 151–176. Richard P. Brent. 1976. MULTIPLE-PRECISION ZERO-FINDING METHODS AND THE COMPLEXITY OF ELEMENTARY FUNCTION EVALUATION. In Analytic Computational Complexity, J.F. Traub (Ed.). Academic Press, 151–176.

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