Experiments on Effective High-Order Iterative Methods via the Asymptotic Form of the Taylor- Lagrange Remainder
To derive some modern, efficient , high-order methods to iteratively locate the root, simple or multiple, of a nonlinear function, the asymptotic form of the Taylor-Lagrange remainder is used. Superquadratic techniques that converge on the contrary and superlinear and supercubic techniques that converge alternately are also derived, allowing us not only to approach but also to bracket the root.
Author (s) Details
Department of Mathematics, Boston University, Boston, MA 02215, USA.
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