| p-阶Hlder连续的拟牛顿方法 |
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| 引用本文： | 孙辉, 朱德通.p-阶Hlder连续的拟牛顿方法[J].上海师范大学学报(自然科学版),2010,39(1):7-12. |
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| 作者姓名： | 孙辉 朱德通 |
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| 作者单位： | 1. 上海师范大学数理学院,上海,200234
2. 上海师范大学商学院,上海,200234 |
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| 基金项目： | the Shanghai Leading Academic Discipline Project(T0401) |
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| 摘 要： | 分析了Frechet可微算子是p-阶Hoeder连续的拟牛顿法收敛性，证明了非线性方程组解的存在性和唯一性，而且考虑了拟牛顿迭代至少1＋p阶R收敛率．
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| 关 键 词： | Banach空间中的非线性方程组 拟牛顿法 半局部收敛定理 递推关系式 |
The quasi-Newton method for operators with p-order H(o)lder continuous first derivative |
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| SUN Hui,ZHU De-tong.The quasi-Newton method for operators with p-order H(o)lder continuous first derivative[J].Journal of Shanghai Normal University(Natural Sciences),2010,39(1):7-12. |
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| Authors: | SUN Hui ZHU De-tong |
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| Institution: | SUN Hui1,ZHU De-tong2(1.Mathematics , Science College,Shanghai Normal University,Shanghai 200234,China,2.Business College,China) |
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| Abstract: | We analyze the convergence of the quasi-Newton method when the first Frechet derivative of operator involved is p-order H(o)lder continuous. Based on establishing some results on the existence and uniqueness of the solution for a nonlinear equation system, we calculate also the quasi-Newton method that is R-order of convergence at least 1+p. |
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| Keywords: | nonlinear equation in Banach space quasi-Newton method semilocal convergence theorem recurrence relation |
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