A new convergence analysis for the two-step Newton method of order three

We present a tighter than before semilocal convergence analysis for the two-step Newton method of order three using recurrent functions. Numerical examples are also provided to show that our convergence criteria are satisfied but earlier studies such as in nine,thirteen,fifteen are not satisfied.

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Autores principales:	Argyros,I. K, Khattri,S. K
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2013
Materias:	Two-step Newton method Newton's method Banach space Kantorovich hypothesis majorizing sequence Lipschitz/center-Lipschitz conditions
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000100006
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spelling	oai:scielo:S0716-091720130001000062014-09-09A new convergence analysis for the two-step Newton method of order threeArgyros,I. KKhattri,S. K Two-step Newton method Newton's method Banach space Kantorovich hypothesis majorizing sequence Lipschitz/center-Lipschitz conditions We present a tighter than before semilocal convergence analysis for the two-step Newton method of order three using recurrent functions. Numerical examples are also provided to show that our convergence criteria are satisfied but earlier studies such as in nine,thirteen,fifteen are not satisfied.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.32 n.1 20132013-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000100006en10.4067/S0716-09172013000100006
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Two-step Newton method Newton's method Banach space Kantorovich hypothesis majorizing sequence Lipschitz/center-Lipschitz conditions
spellingShingle	Two-step Newton method Newton's method Banach space Kantorovich hypothesis majorizing sequence Lipschitz/center-Lipschitz conditions Argyros,I. K Khattri,S. K A new convergence analysis for the two-step Newton method of order three
description	We present a tighter than before semilocal convergence analysis for the two-step Newton method of order three using recurrent functions. Numerical examples are also provided to show that our convergence criteria are satisfied but earlier studies such as in nine,thirteen,fifteen are not satisfied.
author	Argyros,I. K Khattri,S. K
author_facet	Argyros,I. K Khattri,S. K
author_sort	Argyros,I. K
title	A new convergence analysis for the two-step Newton method of order three
title_short	A new convergence analysis for the two-step Newton method of order three
title_full	A new convergence analysis for the two-step Newton method of order three
title_fullStr	A new convergence analysis for the two-step Newton method of order three
title_full_unstemmed	A new convergence analysis for the two-step Newton method of order three
title_sort	new convergence analysis for the two-step newton method of order three
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000100006
work_keys_str_mv	AT argyrosik anewconvergenceanalysisforthetwostepnewtonmethodoforderthree AT khattrisk anewconvergenceanalysisforthetwostepnewtonmethodoforderthree AT argyrosik newconvergenceanalysisforthetwostepnewtonmethodoforderthree AT khattrisk newconvergenceanalysisforthetwostepnewtonmethodoforderthree
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A new convergence analysis for the two-step Newton method of order three

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