The local convergence analysis of a seventh order algorithm for solving nonlinear equations is presented in
the current discussion by assuming that the ?rst-order Fréchet derivative belongs to the Lipschitz class. This
approach yields radii of convergence ball, error bound and uniqueness of the solution. Further, generalization
of the study extended by considering Hölder continuity condition. At last, we estimated the radii of the
convergence balls using a variety of numerical examples, including a nonlinear Hammerstein equation.
Nonlinear equation Banach space local convergence Lipschitz continuity condition Holder continuity condition.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Publication Date | December 30, 2022 |
Published in Issue | Year 2022 Volume: 5 Issue: 4 |