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A unifying theorem on newton's method |
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| Authors: | Peter W. Meyer |
| Affiliation: | Fachbereich Mathematik , Universit?t—GH—Duisburg , Lotharstr. 65, Duisburg 1, D-4100, Germany |
| Abstract: | In this paper a general theorem is proved about convergence and error estimates for Newton's method. It contains as special cases a theorem of Kantorowitsch-type, a theorem with nonlinear majorants and componentwise error estimates as well as a theorem of monotone type. |
| Keywords: | Mathematics Subject Classification: 65J15 |