An acceleration of Newton's method: Super-Halley method
From a study of the convexity we give an acceleration for Newton's method and 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 © 20...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2001 |
| Country: | España |
| Institution: | Universidad de La Rioja (UR) |
| Repository: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc697cb750603269e81c0d |
| Online Access: | https://investigacion.unirioja.es/documentos/5bbc697cb750603269e81c0d |
| Access Level: | Open access |
| Keyword: | Iterative processes Kantorovich assumptions Newton's method Non-linear equation Third order method |
| Summary: | From a study of the convexity we give an acceleration for Newton's method and 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 © 2001 Elsevier Science Inc. |
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