An Improved Convergence and Complexity Analysis for the Interpolatory Newton Method

We provide an improved compared to <img border=0 width=45 height=24 src="http:/fbpe/img/cubo/v12n1/img31.jpg">local convergence analysis and complexity for the interpolatory Newton method for solving equations in a Banach space setting. The results are obtained using more precise err...

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Autor principal: Argyros,Ioannis K
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100013
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spelling oai:scielo:S0719-064620100001000132018-10-08An Improved Convergence and Complexity Analysis for the Interpolatory Newton MethodArgyros,Ioannis K Newton&rsquo;s method local convergence Banach space interpolatory Newton method complexity radius of convergence We provide an improved compared to <img border=0 width=45 height=24 src="http:/fbpe/img/cubo/v12n1/img31.jpg">local convergence analysis and complexity for the interpolatory Newton method for solving equations in a Banach space setting. The results are obtained using more precise error bounds than before <img border=0 width=45 height=24 src="http:/fbpe/img/cubo/v12n1/img31.jpg">and the same hypotheses/computational cost.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.1 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100013en10.4067/S0719-06462010000100013
institution Scielo Chile
collection Scielo Chile
language English
topic Newton&rsquo;s method
local convergence
Banach space
interpolatory Newton method
complexity
radius of convergence
spellingShingle Newton&rsquo;s method
local convergence
Banach space
interpolatory Newton method
complexity
radius of convergence
Argyros,Ioannis K
An Improved Convergence and Complexity Analysis for the Interpolatory Newton Method
description We provide an improved compared to <img border=0 width=45 height=24 src="http:/fbpe/img/cubo/v12n1/img31.jpg">local convergence analysis and complexity for the interpolatory Newton method for solving equations in a Banach space setting. The results are obtained using more precise error bounds than before <img border=0 width=45 height=24 src="http:/fbpe/img/cubo/v12n1/img31.jpg">and the same hypotheses/computational cost.
author Argyros,Ioannis K
author_facet Argyros,Ioannis K
author_sort Argyros,Ioannis K
title An Improved Convergence and Complexity Analysis for the Interpolatory Newton Method
title_short An Improved Convergence and Complexity Analysis for the Interpolatory Newton Method
title_full An Improved Convergence and Complexity Analysis for the Interpolatory Newton Method
title_fullStr An Improved Convergence and Complexity Analysis for the Interpolatory Newton Method
title_full_unstemmed An Improved Convergence and Complexity Analysis for the Interpolatory Newton Method
title_sort improved convergence and complexity analysis for the interpolatory newton method
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2010
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100013
work_keys_str_mv AT argyrosioannisk animprovedconvergenceandcomplexityanalysisfortheinterpolatorynewtonmethod
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