Extended local convergence and comparisons for two three-step Jarratt-type methods under the same conditions
Volume 49 / 2022
Applicationes Mathematicae 49 (2022), 197-207
MSC: Primary 65J20; Secondary 49M15, 74G20, 41A25.
DOI: 10.4064/am2433-7-2022
Published online: 22 September 2022
Abstract
We extend and compare two three-step Jarratt-type methods for solving a nonlinear equation under the same conditions. Our convergence analysis is based on the first Fréchet derivative that only appears in the method. Numerical examples where the theoretical results are tested complete the paper.
