Solving a special case of conservative problems by Secant-like methods
We study a class of Secant-like iterations for solving nonlinear equations in Banach spaces. A semilocal convergence result is obtained, where the first order divided difference of the nonlinear operator is Hölder continuous. For that, we use a technique based on a new system of recurrence relations...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2005 |
| 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/5bbc69fab750603269e824d2 |
| Online Access: | https://investigacion.unirioja.es/documentos/5bbc69fab750603269e824d2 |
| Access Level: | Open access |
| Keyword: | A priori error bounds Boundary value problems Convergence analysis Recurrence relations The Secant method |
| Summary: | We study a class of Secant-like iterations for solving nonlinear equations in Banach spaces. A semilocal convergence result is obtained, where the first order divided difference of the nonlinear operator is Hölder continuous. For that, we use a technique based on a new system of recurrence relations to obtain existence-uniqueness domains of the solution and a priori error bounds. These results are applied to solve a special case of conservative problems. © 2004 Elsevier Inc. All rights reserved. |
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