Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation

Abstract Two new iterative methods for the simultaneous determination of all multiple as well as distinct roots of nonlinear polynomial equation are established, using two suitable corrections to achieve a very high computational efficiency as compared to the existing methods in the literature. Conv...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Mudassir Shams, Naila Rafiq, Nasreen Kausar, Praveen Agarwal, Choonkil Park, Shaher Momani
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Multiple roots Polynomial equation Iterative methods Simultaneous methods Computational efficiency and CPU-time Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/badecfb54e5a46e6ae51d8d2e01f11eb
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:badecfb54e5a46e6ae51d8d2e01f11eb
record_format	dspace
spelling	oai:doaj.org-article:badecfb54e5a46e6ae51d8d2e01f11eb2021-11-21T12:06:53ZEfficient iterative methods for finding simultaneously all the multiple roots of polynomial equation10.1186/s13662-021-03649-61687-1847https://doaj.org/article/badecfb54e5a46e6ae51d8d2e01f11eb2021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03649-6https://doaj.org/toc/1687-1847Abstract Two new iterative methods for the simultaneous determination of all multiple as well as distinct roots of nonlinear polynomial equation are established, using two suitable corrections to achieve a very high computational efficiency as compared to the existing methods in the literature. Convergence analysis shows that the orders of convergence of the newly constructed simultaneous methods are 10 and 12. At the end, numerical test examples are given to check the efficiency and numerical performance of these simultaneous methods.Mudassir ShamsNaila RafiqNasreen KausarPraveen AgarwalChoonkil ParkShaher MomaniSpringerOpenarticleMultiple rootsPolynomial equationIterative methodsSimultaneous methodsComputational efficiency and CPU-timeMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Multiple roots Polynomial equation Iterative methods Simultaneous methods Computational efficiency and CPU-time Mathematics QA1-939
spellingShingle	Multiple roots Polynomial equation Iterative methods Simultaneous methods Computational efficiency and CPU-time Mathematics QA1-939 Mudassir Shams Naila Rafiq Nasreen Kausar Praveen Agarwal Choonkil Park Shaher Momani Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation
description	Abstract Two new iterative methods for the simultaneous determination of all multiple as well as distinct roots of nonlinear polynomial equation are established, using two suitable corrections to achieve a very high computational efficiency as compared to the existing methods in the literature. Convergence analysis shows that the orders of convergence of the newly constructed simultaneous methods are 10 and 12. At the end, numerical test examples are given to check the efficiency and numerical performance of these simultaneous methods.
format	article
author	Mudassir Shams Naila Rafiq Nasreen Kausar Praveen Agarwal Choonkil Park Shaher Momani
author_facet	Mudassir Shams Naila Rafiq Nasreen Kausar Praveen Agarwal Choonkil Park Shaher Momani
author_sort	Mudassir Shams
title	Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation
title_short	Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation
title_full	Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation
title_fullStr	Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation
title_full_unstemmed	Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation
title_sort	efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/badecfb54e5a46e6ae51d8d2e01f11eb
work_keys_str_mv	AT mudassirshams efficientiterativemethodsforfindingsimultaneouslyallthemultiplerootsofpolynomialequation AT nailarafiq efficientiterativemethodsforfindingsimultaneouslyallthemultiplerootsofpolynomialequation AT nasreenkausar efficientiterativemethodsforfindingsimultaneouslyallthemultiplerootsofpolynomialequation AT praveenagarwal efficientiterativemethodsforfindingsimultaneouslyallthemultiplerootsofpolynomialequation AT choonkilpark efficientiterativemethodsforfindingsimultaneouslyallthemultiplerootsofpolynomialequation AT shahermomani efficientiterativemethodsforfindingsimultaneouslyallthemultiplerootsofpolynomialequation
_version_	1718419209329836032

Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation

Ejemplares similares