| Landweber迭代的加速与在数值微分中的应用 |
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| 引用本文： | 白秀琴,冯智宇.Landweber迭代的加速与在数值微分中的应用[J].河南科学,2009,27(11):1358-1361. |
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| 作者姓名： | 白秀琴 冯智宇 |
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| 作者单位： | 1. 平项山工业职业技术学院,基础部,河南,平顶山,467001
2. 河南省科学院,郑州,450008 |
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| 摘 要： | Landweber迭代法对于求解大规模问题是十分有利的，但是，Landweber迭代序列收敛速度是相当慢的．给出了一种新的Landweber迭代格式，能够大大加快收敛速度．还将Landweber迭代法应用于数值微分问题，将数值微分问题转化为一个特殊的第一类Fredholm积分方程的求解问题．
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| 关 键 词： | Landweber迭代法 收敛速度 数值微分 |
The Acceleration and Application within the Number Differential Calculuses of the Generation of Landweber Escalator Method |
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| Bai Xiuqin,Feng Zhiyu.The Acceleration and Application within the Number Differential Calculuses of the Generation of Landweber Escalator Method[J].Henan Science,2009,27(11):1358-1361. |
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| Authors: | Bai Xiuqin Feng Zhiyu |
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| Institution: | Bai Xiuqin, Feng Zhiyu (1. Pingdingshang Industrial College of Technology, Pingdingshan 467001, Henan China; 2. Henan Academy of Sciences, Zhengzhou 450008, China) |
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| Abstract: | Landweber escalator method for solving the large-scale problem is very beneficial. Therefore,A escalator sequence of the Landweber refrains from rash action the speed is very slow. This text give a format of a kind of new Landweber escalator format,can speed to refrain from rash action the speed consumedly. Return to apply a method of the Landweber escalator method in the number differential calculus problem,Solve the number differential calculus problem conversion for a special and the first distance with square integral calculus of Fredholm problem. |
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| Keywords: | Landweber escalator method the speed of refrain from rash action number differential calculus |
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