Article ID Journal Published Year Pages File Type
4638222 Journal of Computational and Applied Mathematics 2016 14 Pages PDF
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
, , ,