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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.
"Applied Mathematics and Computation Top Cited Article 2005-2010"
CitationGrau, M.; Diaz, J. An improvement of Ostrowski root-finding method. "Applied mathematics and computation", Febrer 2006, vol. 173, núm. 1, p. 450-456.
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