| 无穷维空间的牛顿法收敛域定理 |
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| 引用本文： | 任立顺. 无穷维空间的牛顿法收敛域定理[J]. 数学季刊, 2001, 16(2): 17-21 |
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| 作者姓名： | 任立顺 |
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| 作者单位： | 周口师范高等专科学校数学系!河南周口466000 |
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| 摘 要： | 本文对无穷维空间的映象给出了广义导数的概念，利用这种导数替代光滑映象的Frechet导数，给出了无穷维空间非光滑算子方程的阻尼牛顿法收敛域的一个定理。
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| 关 键 词： | 非光滑算子 广义导数 阻尼牛顿法 收敛域 Frechet导数 无穷维空间 |
Newton's Method Clomain of Convergence Theorem at Infinitely Space |
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| REN Li shun. Newton's Method Clomain of Convergence Theorem at Infinitely Space[J]. Chinese Quarterly Journal of Mathematics, 2001, 16(2): 17-21 |
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| Authors: | REN Li shun |
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| Abstract: | In this paper, we gave the generalized derivative definition of mapping at infinitely space and took the derivative intead of the Frechet derivative of smooth mapping. We got a damping Newton's method domain of convergence theorem of non smooth operators equation at infinitely dimensional space. |
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| Keywords: | nonsmooth operators generalized derivative damping Newton's method clomain of convegence |
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