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Title of Journal: Numer Algor

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Abbravation: Numerical Algorithms

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Springer US

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DOI

10.1007/s13280-015-0747-4

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1572-9265

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A study of accelerated Newton methods for multiple

Authors: Aurél Galántai Csaba J Hegedűs
Publish Date: 2009/09/26
Volume: 54, Issue: 2, Pages: 219-243
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Abstract

We analyze and compare several accelerated Newton methods with built in multiplicity estimates We also introduce the concept of indicator functions and discuss the CrousePutt method It is shown that many of the accelerated Newton methods not only derive from Schröder’s classic approach but are equivalent The related computational experiments show that the built in multiplicity estimates can significantly decrease the number of Newton iterations while the error of these estimates may significantly increase

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