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Title:
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An improvement of Ostrowski root-finding method
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Author:
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Grau Sánchez, Miguel; Díaz Barrero, José Luis
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. MMAC - Models Matemàtics aplicats a les ciencies humanes i de la natura; Universitat Politècnica de Catalunya. NRG - Riscos Naturals i Geoestadística |
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Abstract:
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"Applied Mathematics and Computation Top Cited Article 2005-2010" |
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Abstract:
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An improvement to the iterative method based on the Ostrowski one to compute nonlinear equation solutions, which increases the local order of convergence is suggested. The adaptation of a strategy presented here gives a new iteration function with an additional evaluation of the function. It also shows a smaller cost if we use adaptive multi-precision arithmetic. The numerical results computed using this system with a floating point system representing 200 decimal digits support this theory. |
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Abstract:
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Peer Reviewed |
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Abstract:
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Award-winning |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-Nonlinear equations
-Iterative methods
-Order of convergence
-Effective efficiency
-Equacions no lineals |
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Rights:
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Document type:
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Article - Published version
Article |
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