Banach空间中三阶变形牛顿法的收敛性分析

2012 IEEE Symposium on Robotics and Applications (ISRA) Pub Date : 2012-06-03 DOI:10.1109/ISRA.2012.6219277

Rongfei Lin, Yueqing Zhao

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引用次数: 0

摘要

利用三阶大部化函数建立了Banach空间中变形牛顿方法的Newton- kantorovich收敛定理，并利用该函数求解了非线性算子方程。我们也给出了误差估计。最后，给出了一些例子来说明定理的应用。

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The convergence analysis for a deformed Newton method with three orders in Banach space

We establish the Newton-Kantorovich convergence theorem for a deformed Newton methods in Banach space by using three orders majorizing function, which is used to solve the nonlinear operator equation. We also present the error estimate. Finally, some examples are provided to show the application of our theorem.

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来源期刊

2012 IEEE Symposium on Robotics and Applications (ISRA)

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