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Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Solving single variable functions using a new secant method

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pp. 245–251Vol. 28Issue 1February 2025DOI: 10.47974/JIM-1854XML
Received:
04 Jun 2024
Published Online:
13 Feb 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-1854
Pages:
245–251

Abstract

The quadratically convergent Newton method is a fundamental and significant approach for solving one-variable functions. In order to solve a single minimization issue, we deduce a novel secant type approach in this study that is based on estimating the second derivative information. The convergence of the novel secant type iterative approach is of order two. The provided application examples show that the suggested technique outperforms the Newton method in terms of numerical properties.

Keywords

Subject Classifications

90C3065K0549M37

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