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What and Who

Reliable Root Approximation

Michael Kerber
Max-Planck-Institut für Informatik - D1
AG1 Mittagsseminar (own work)
AG 1, AG 4, RG1, MMCI, AG 3, AG 5, SWS  
AG Audience
English

Date, Time and Location

Tuesday, 26 May 2009
13:00
30 Minutes
E1 4
024
Saarbrücken

Abstract

This work addresses the problem of computing a certified $\epsilon$-approximation of all real roots of a integer polynomial with simple roots.A simple refinement method for isolating intervals, called Quadratic Interval Refinement is introduced which has guaranteed correctness and quadratic convergence speed. Then, a root approximation algorithm based on this method is introduced, and its bit complexity is analyzed.

Contact

Michael Kerber
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Michael Kerber, 05/25/2009 16:29 -- Created document.