On the R-order of the Halley method

By José Antonio Ezquerro, M. A. Hernández. 2005

93 citations recorded by the source corpus.

An R-order bound for the Halley method is obtained in this work, where an analysis of the convergence of the method is also presented under mild differentiability conditions. To do this, a new technique is developed, where the involved operator must satisfy some recurrence relations.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/959134986dac8ec66e19745f5a1409aa8ca37751