| ON AMODIFIED NEWTON'S METHOD AND CONVERGENCE |
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| 作者姓名： | 韩丹夫 |
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| 作者单位： | Han Dan-fu Department of Mathematics，Hangzhou University，Hangzhou 310028，PRC. |
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| 基金项目： | Jointly supported by China Major Key Project for Basic Researcher and Provincial Natrural Science Foundation. |
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| 摘 要： | In this paper we discuss the convergence of a modified Newton's method presented by A. Ostrowski 1] and J.F. Traub 2], which has quadratic convergence order but reduces one evaluation of the derivative at every two steps compared with Newton's method. A convergence theorem is established by using a weak condition a≤3-2(2~(1/2)) and a sharp error estimate is given about the iterative sequence.
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ON AMODIFIED NEWTON'S METHOD AND CONVERGENCE |
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| Han Dan-fu.ON AMODIFIED NEWTON''''S METHOD AND CONVERGENCE[J].Numerical Mathematics A Journal of Chinese Universities English Series,1997(1). |
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| Authors: | Han Dan-fu |
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| Institution: | Han Dan-fu Department of Mathematics,Hangzhou University,Hangzhou 310028,PRC. |
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| Abstract: | |
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| Keywords: | Modified Newton's method convergence majurant method error estimate |
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