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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Universidad de La Frontera. Departamento de Matemática y Estadística.
2010
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oai:scielo:S0719-064620100001000132018-10-08An Improved Convergence and Complexity Analysis for the Interpolatory Newton MethodArgyros,Ioannis K Newton’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’s method local convergence Banach space interpolatory Newton method complexity radius of convergence |
spellingShingle |
Newton’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 AT argyrosioannisk improvedconvergenceandcomplexityanalysisfortheinterpolatorynewtonmethod |
_version_ |
1714206763813699584 |