On some computational orders of convergence
- Grau-Sánchez, M. 1
- Noguera, M. 1
- Gutiérrez, J.M. 2
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1
Universitat Politècnica de Catalunya
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2
Universidad de La Rioja
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ISSN: 0893-9659
Año de publicación: 2010
Volumen: 23
Número: 4
Páginas: 472-478
Tipo: Artículo
beta Ver similares en nube de resultadosOtras publicaciones en: Applied Mathematics Letters
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Resumen
Two variants of the Computational Order of Convergence (COC) of an iterative method for solving nonlinear equations are presented. Furthermore, the way to approximate the COC and the new variants to the local order of convergence is analyzed. The new definitions given here does not involve the unknown root. Numerical experiments using adaptive arithmetic with multiple precision and a stopping criteria are implemented without using any known root. © 2009 Elsevier Ltd. All rights reserved.