Super-Halley method under majorant conditions in Banach spaces

Abstract In this paper, we have studied local convergence of Super-Halley method in Banach spaces under the assumption of second order majorant conditions. This approach allows us to obtain generalization of earlier convergence analysis under majorizing sequences. Two important special cases of the...

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Autores principales:	Nisha,Shwet, Parida,P. K.
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2020
Materias:	Nonlinear equations Super-Halley method Majorant conditions Local Convergence Semilocal Convergnce Smale-type conditions Kantorovich-type conditions
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000100055
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spelling	oai:scielo:S0719-064620200001000552020-04-24Super-Halley method under majorant conditions in Banach spacesNisha,ShwetParida,P. K. Nonlinear equations Super-Halley method Majorant conditions Local Convergence Semilocal Convergnce Smale-type conditions Kantorovich-type conditions Abstract In this paper, we have studied local convergence of Super-Halley method in Banach spaces under the assumption of second order majorant conditions. This approach allows us to obtain generalization of earlier convergence analysis under majorizing sequences. Two important special cases of the convergence analysis based on the premises of Kantorovich and Smale type conditions have also been concluded. To show efficacy of our approach we have given three numerical examples.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.22 n.1 20202020-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000100055en10.4067/S0719-06462020000100055
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Nonlinear equations Super-Halley method Majorant conditions Local Convergence Semilocal Convergnce Smale-type conditions Kantorovich-type conditions
spellingShingle	Nonlinear equations Super-Halley method Majorant conditions Local Convergence Semilocal Convergnce Smale-type conditions Kantorovich-type conditions Nisha,Shwet Parida,P. K. Super-Halley method under majorant conditions in Banach spaces
description	Abstract In this paper, we have studied local convergence of Super-Halley method in Banach spaces under the assumption of second order majorant conditions. This approach allows us to obtain generalization of earlier convergence analysis under majorizing sequences. Two important special cases of the convergence analysis based on the premises of Kantorovich and Smale type conditions have also been concluded. To show efficacy of our approach we have given three numerical examples.
author	Nisha,Shwet Parida,P. K.
author_facet	Nisha,Shwet Parida,P. K.
author_sort	Nisha,Shwet
title	Super-Halley method under majorant conditions in Banach spaces
title_short	Super-Halley method under majorant conditions in Banach spaces
title_full	Super-Halley method under majorant conditions in Banach spaces
title_fullStr	Super-Halley method under majorant conditions in Banach spaces
title_full_unstemmed	Super-Halley method under majorant conditions in Banach spaces
title_sort	super-halley method under majorant conditions in banach spaces
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000100055
work_keys_str_mv	AT nishashwet superhalleymethodundermajorantconditionsinbanachspaces AT paridapk superhalleymethodundermajorantconditionsinbanachspaces
_version_	1714206805530247168

Super-Halley method under majorant conditions in Banach spaces

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