On some computational orders of convergence |
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| Authors: | Miquel Grau-Sánchez Miquel Noguera José Manuel Gutiérrez |
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| Affiliation: | 1. Technical University of Catalonia, Department of Applied Mathematics II, Jordi Girona 1-3, Omega, 08034 Barcelona, Spain;2. University of La Rioja, Department of Mathematics and Computation, Luis Ulloa s/n, 26004 Logroño, Spain |
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| Abstract: | 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. |
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