A study on new computational local orders of convergence

Details A study on new computational local orders of convergence A study on new computational local orders of convergence

2012-02-20

arxiv.org/abs/1202.4236v1

Mathematics

Numerical Analysis

Scientific paper

Four new variants of the Computational Order of Convergence (COC) of a one-point iterative method with memory for solving nonlinear equations are presented. Furthermore, the way to approximate the new variants to the local order of convergence is analyzed. Three of the new definitions given here do 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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