| 求解Symm积分方程的信赖域Lanczos法 |
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| 引用本文： | 闵涛,武苗,卢宏鹏,杨晓莉,许迅雷. 求解Symm积分方程的信赖域Lanczos法[J]. 数值计算与计算机应用, 2010, 31(4): 253-258 |
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| 作者姓名： | 闵涛 武苗 卢宏鹏 杨晓莉 许迅雷 |
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| 作者单位： | 西安理工大学理学院; |
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| 摘 要： | Symm积分方程在位势理论中具有重要的作用,它是Hadamard意义下的不适定问题.本文基于信赖域算法并结合Lanczos迭代方法,得到了Symm积分方程的数值解法,与通常的正则化方法相比,在数据出现噪声的情况下,该方法克服了正则化方法中正则参数选取的困难,同时具有较高的精度.
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| 关 键 词： | Symm积分方程 信赖域 正则化 正则化参数 |
SOLVING THE SYMM INTEGRAL EQUATION BY A TRUST REGION LANCZOS METHOD |
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| Min Tao,Wu Miao,Lu Hongpeng,Yang Xiaoli,Xu Xunlei. SOLVING THE SYMM INTEGRAL EQUATION BY A TRUST REGION LANCZOS METHOD[J]. Journal on Numerical Methods and Computer Applications, 2010, 31(4): 253-258 |
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| Authors: | Min Tao Wu Miao Lu Hongpeng Yang Xiaoli Xu Xunlei |
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| Affiliation: | Min Tao Wu Miao Lu Hongpeng Yang Xiaoli Xu Xunlei (School of Sciences,Xi'an University of Technology,Xi'an 710054,China) |
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| Abstract: | The Symm integral integral equation is an important problem in potential theory,and it is typically ill-posed in the sense of Hadamard.This paper addresses the numerical solution of Symm integral equations with a Trust region-Lanczos iterative method.Comparison with the Tikhonov regularization is made.In the presence of noise or corrupted data,the new method could overcome the difficulties of choosing regularization parameters and the result has accuracy. |
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| Keywords: | Symm Integral equation trust region regularization regularization parameter |
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