A New Optimal Numerical Root-Solver for Solving Systems of Nonlinear Equations Using Local, Semi-Local, and Stability Analysis
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| dc.contributor.author | Qureshi, Sania
|
es_ES |
| dc.contributor.author | Chicharro, Francisco I.
|
es_ES |
| dc.contributor.author | Argyros, Ioannis K.
|
es_ES |
| dc.contributor.author | Soomro, Amanullah
|
es_ES |
| dc.contributor.author | Alahmadi, Jihan
|
es_ES |
| dc.contributor.author | Hincal, Evren
|
es_ES |
| dc.date.accessioned | 2024-11-11T19:03:51Z | |
| dc.date.available | 2024-11-11T19:03:51Z | |
| dc.date.issued | 2024-06 | es_ES |
| dc.identifier.uri | http://hdl.handle.net/10251/211618 | |
| dc.description.abstract | [EN] This paper introduces an iterative method with a remarkable level of accuracy, namely fourth-order convergence. The method is specifically tailored to meet the optimality condition under the Kung-Traub conjecture by linear combination. This method, with an efficiency index of approximately 1.5874, employs a blend of localized and semi-localized analysis to improve both efficiency and convergence. This study aims to investigate semi-local convergence, dynamical analysis to assess stability and convergence rate, and the use of the proposed solver for systems of nonlinear equations. The results underscore the potential of the proposed method for several applications in polynomiography and other areas of mathematical research. The improved performance of the proposed optimal method is demonstrated with mathematical models taken from many domains, such as physics, mechanics, chemistry, and combustion, to name a few. | es_ES |
| dc.description.sponsorship | F.I.C. received partial funding from "Ayuda a Primeros Proyectos de Investigacion (PAID-06-23), Vicerrectorado de Investigacion de la Universitat Politecnica de Valencia (UPV)", in the project MERLIN framework. | es_ES |
| dc.language | Inglés | es_ES |
| dc.publisher | MDPI AG | es_ES |
| dc.relation.ispartof | Axioms | es_ES |
| dc.rights | Reconocimiento (by) | es_ES |
| dc.subject | Optimal solvers | es_ES |
| dc.subject | Polynomial visualization | es_ES |
| dc.subject | Convergence without relying on Taylor Series | es_ES |
| dc.subject.classification | MATEMATICA APLICADA | es_ES |
| dc.title | A New Optimal Numerical Root-Solver for Solving Systems of Nonlinear Equations Using Local, Semi-Local, and Stability Analysis | es_ES |
| dc.type | Artículo | es_ES |
| dc.identifier.doi | 10.3390/axioms13060341 | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/UPV-VIN//PAID-06-23//Mejora de la Eficiencia en la Resolución de problemas no LINeales (MERLIN)/ | es_ES |
| dc.rights.accessRights | Abierto | es_ES |
| dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació | es_ES |
| dc.description.bibliographicCitation | Qureshi, S.; Chicharro, FI.; Argyros, IK.; Soomro, A.; Alahmadi, J.; Hincal, E. (2024). A New Optimal Numerical Root-Solver for Solving Systems of Nonlinear Equations Using Local, Semi-Local, and Stability Analysis. Axioms. 13(6). https://doi.org/10.3390/axioms13060341 | es_ES |
| dc.description.accrualMethod | S | es_ES |
| dc.relation.publisherversion | https://doi.org/10.3390/axioms13060341 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 13 | es_ES |
| dc.description.issue | 6 | es_ES |
| dc.identifier.eissn | 2075-1680 | es_ES |
| dc.relation.pasarela | S\518730 | es_ES |
| dc.contributor.funder | UNIVERSIDAD POLITECNICA DE VALENCIA | es_ES |
| dc.subject.ods | 05.- Alcanzar la igualdad entre los géneros y empoderar a todas las mujeres y niñas | es_ES |
| dc.subject.ods | 07.- Asegurar el acceso a energías asequibles, fiables, sostenibles y modernas para todos | es_ES |
| dc.subject.ods | 09.- Desarrollar infraestructuras resilientes, promover la industrialización inclusiva y sostenible, y fomentar la innovación | es_ES |
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