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.
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
出处
《数值计算与计算机应用》
CSCD
北大核心
2010年第4期253-258,共6页
Journal on Numerical Methods and Computer Applications
关键词
Symm积分方程
信赖域
正则化
正则化参数
Symm Integral equation
trust region
regularization
regularization parameter
