An adaptive version of a fourth-order iterative method for quadratic equations

Authors:
Sergio Amat;Sonia Busquier;José M. Gutiérrez
Affiliations:
Departamento de Matemática Aplicada y Estadítica, Universidad Politécnica de Cartagena, Spain;Departamento de Matemática Aplicada y Estadítica, Universidad Politécnica de Cartagena, Spain;Departamento de Matemáticas y Computación, Universidad de La Rioja, Spain
Venue:
Journal of Computational and Applied Mathematics - Special issue: The international conference on computational methods in sciences and engineering 2004
Year:
2006

Citing 4
Cited 4

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Abstract

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.