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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

A modern secant-kind technique with quadratic of convergence

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pp. 161–167Vol. 28Issue 1February 2025DOI: 10.47974/JIM-1806XML
Received:
04 Jun 2024
Published Online:
13 Feb 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-1806
Pages:
161–167

Abstract

The advancement of the second approximation is employed to introduce a modified version of the popular Secant technique, which is used to solve nonlinear optimization problems involving a single variable with no constraints. By utilizing the Taylor series expansion, an iterative formula is constructed, incorporating an approximation of l(c) second derivative. It is proven that these novel methods achieve quadratic convergence. when evaluated against the Newton technique using seven types of test function, A new approach performs well, as observed through real-world application.

Keywords

Subject Classifications

90C3065K0549M37

References

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