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Interval Newton Iteration in Multiple Precision for the Univariate Case
Abstract : In this paper, interval arithmetic using an underlying multiple precision arithmetic is briefly presented. Then interval Newton iteration for solving nonlinear equations is introduced. A new Newton's algorithm based on multiple precision interval arithmetic is given, along with its properties: termination- , arbitrary accuracy on the computed zeros, automatic and dynamic adaptation of the precision. Finally some experiments illustrate the behaviour of this method.
https://hal.inria.fr/inria-00072253
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Tuesday, May 23, 2006 - 8:14:02 PM
Last modification on : Friday, February 4, 2022 - 3:18:54 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:00:44 PM
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Tuesday, May 23, 2006 - 8:14:02 PM
Last modification on : Friday, February 4, 2022 - 3:18:54 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:00:44 PM