An acceleration of Newton's method: Super-Halley method

Authors
Gutierrez, JM Hernandez, MA
Citation
Jm. Gutierrez et Ma. Hernandez, An acceleration of Newton's method: Super-Halley method, APPL MATH C, 117(2-3), 2001, pp. 223-239
Citations number
18
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
117
Issue
2-3
Year of publication
2001
Pages
223 - 239
Database
ISI
SICI code
0096-3003(20010125)117:2-3<223:AAONMS>2.0.ZU;2-#
Abstract
From a study of the convexity we give an acceleration for Newton's method a nd obtain a new third order method. Then we use this method for solving non -linear equations in Banach spaces, establishing conditions on convergence, existence and uniqueness of solution, as well as error estimates (C) 2001 Elsevier Science Inc. All rights reserved.