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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

Adjusting the BFGS update for quasi-Newton methods

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pp. 31–41Vol. 28Issue 1February 2025DOI: 10.47974/JIM-1772XML
Received:
05 Jun 2024
Published Online:
13 Feb 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-1772
Pages:
31–41

Abstract

A variety of quasi-Newton approaches all have their roots in the quasi-Newton equation. We thus obtain the updated BFGS quasi-Newton updating formulas using the provided alternative equation. In our study, a brand-new y-technique is used to alter the quasi-Newton techniques’ secant equation. Show that this algorithm’s global convergence is related to the line search rule. The numerical results demonstrate the effectiveness of the proposed strategy for the tested issues.

Keywords

Subject Classifications

90C3065K0549M37

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