A derivative-free root-finding algorithm using exponential method and its implementation

OBJECTIVE: In this paper, we develop a new root-finding algorithm to solve the given non-linear equations. The proposed root-finding algorithm is based on the exponential method. This algorithm is derivative-free and converges fast. RESULTS: Several numerical examples are presented to illustrate and...

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Autores principales: Thota, Srinivasarao, Awad, Mohamed M., Shanmugasundaram, P., Rathour, Laxmi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: BioMed Central 2023
Materias:
Research Note
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10583328/
https://www.ncbi.nlm.nih.gov/pubmed/37848920
http://dx.doi.org/10.1186/s13104-023-06554-1
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author Thota, Srinivasarao
Awad, Mohamed M.
Shanmugasundaram, P.
Rathour, Laxmi
author_facet Thota, Srinivasarao
Awad, Mohamed M.
Shanmugasundaram, P.
Rathour, Laxmi
author_sort Thota, Srinivasarao
collection PubMed
description OBJECTIVE: In this paper, we develop a new root-finding algorithm to solve the given non-linear equations. The proposed root-finding algorithm is based on the exponential method. This algorithm is derivative-free and converges fast. RESULTS: Several numerical examples are presented to illustrate and validation of the proposed methods. Microsoft Excel and Maple implementation of the proposed algorithm is presented with sample computations.
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spelling pubmed-105833282023-10-19 A derivative-free root-finding algorithm using exponential method and its implementation Thota, Srinivasarao Awad, Mohamed M. Shanmugasundaram, P. Rathour, Laxmi BMC Res Notes Research Note OBJECTIVE: In this paper, we develop a new root-finding algorithm to solve the given non-linear equations. The proposed root-finding algorithm is based on the exponential method. This algorithm is derivative-free and converges fast. RESULTS: Several numerical examples are presented to illustrate and validation of the proposed methods. Microsoft Excel and Maple implementation of the proposed algorithm is presented with sample computations. BioMed Central 2023-10-17 /pmc/articles/PMC10583328/ /pubmed/37848920 http://dx.doi.org/10.1186/s13104-023-06554-1 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/ (https://creativecommons.org/publicdomain/zero/1.0/) ) applies to the data made available in this article, unless otherwise stated in a credit line to the data.
spellingShingle Research Note
Thota, Srinivasarao
Awad, Mohamed M.
Shanmugasundaram, P.
Rathour, Laxmi
A derivative-free root-finding algorithm using exponential method and its implementation
title A derivative-free root-finding algorithm using exponential method and its implementation
title_full A derivative-free root-finding algorithm using exponential method and its implementation
title_fullStr A derivative-free root-finding algorithm using exponential method and its implementation
title_full_unstemmed A derivative-free root-finding algorithm using exponential method and its implementation
title_short A derivative-free root-finding algorithm using exponential method and its implementation
title_sort derivative-free root-finding algorithm using exponential method and its implementation
topic Research Note
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10583328/
https://www.ncbi.nlm.nih.gov/pubmed/37848920
http://dx.doi.org/10.1186/s13104-023-06554-1
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