An improvement to Ostrowski root-finding method

doi:10.1016/j.amc.2005.04.043

An improvement to Ostrowski root-finding method

2006-02-01

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DOI：10.1016/j.amc.2005.04.043

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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. (c) 2005 Elsevier Inc. All rights reserved.

Keyword:

nonlinear equations

iterative methods

order of convergence

effective efficiency

An improvement to Ostrowski root-finding method

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