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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Detalles Bibliográficos
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
Descripción
Sumario: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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