Fried, Isaac (2020) Experiments on Effective High-Order Iterative Methods via the Asymptotic Form of the Taylor-Lagrange Remainder. In: Theory and Practice of Mathematics and Computer Science Vol. 2. B P International, pp. 1-29. ISBN 978-93-90206-64-3
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Official URL: https://bp.bookpi.org/index.php/bpi/catalog/book/2...
Abstract
The asymptotic form of the Taylor-Lagrange remainder is used to derive some new, efficient, high-order
methods to iteratively locate the root, simple or multiple, of a nonlinear function. Also derived are
superquadratic methods that converge contrarily and superlinear and supercubic methods that converge
alternatingly, enabling us not only to approach, but also to bracket the root.
| Item Type: | Book Section |
|---|---|
| Subjects: | OA Open Library > Computer Science |
| Depositing User: | Unnamed user with email support@oaopenlibrary.com |
| Date Deposited: | 08 Nov 2023 08:10 |
| Last Modified: | 27 Oct 2025 03:54 |
| URI: | http://digilib.2promojournal.com/id/eprint/2004 |
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