Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638222 | Journal of Computational and Applied Mathematics | 2016 | 14 Pages |
Abstract
Optimal multipoint methods for solving nonlinear equations of arbitrary order of convergence are investigated. A low cost transformation that converts Newton-preconditioned methods into a derivative free variant is presented. This transforming procedure preserves both algorithm body structure and order of convergence of the original scheme. Another useful application of the proposed transformation is the acceleration of convergence order of non-optimal methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Beong In Yun, Miodrag Petković, Jovana Džunić,