An adaptative version of a fourth order iterative method for quadratic equations

A fourth-order iterative method for quadratic equations is presented. A semilocal convergence theorem is performed. A multiresolution transform corresponding to interpolatory technique is used for fast application of the method. In designing this algorithm we apply data compression to the linear and...

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Detalles Bibliográficos
Autores: Amat, S. [0000-0002-9954-5240], Busquier, S. [0000-0003-0910-2030], Gutiérrez, J.M. [0000-0002-0434-7250]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc698db750603269e81d55
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc698db750603269e81d55
Access Level:acceso abierto
Palabra clave:Compression
Fourth order
Multiresolution
Nonlinear quadratic equations
Semilocal convergence
Descripción
Sumario:A fourth-order iterative method for quadratic equations is presented. A semilocal convergence theorem is performed. A multiresolution transform corresponding to interpolatory technique is used for fast application of the method. In designing this algorithm we apply data compression to the linear and the bilinear forms that appear on the method. Finally, some numerical results are studied. © 2005 Elsevier B.V. All rights reserved.