摘要
由不适定问题离散化得到的大规模不适定线性方程组的正则化过程可通过对解加一个上界约束转化为有约束条件的最小值问题。为有效求解此类问题,考虑用双网格迭代方法求解转化得到的对称正定线性方程组。试验问题的数值结果表明,双网格迭代方法求解正则化后的对称正定线性方程组效果很好。
Large scaled ill-conditioned li.near systems arising from discretization of ill-posed problems were considered. Through an upper bound constraint on the solution, its regularization was transferred into minimum value problem with constraint condition. The two-grid methods were introduced to solve the regularized systems. The numerical results of some test problems show that the two-grid methods are robust in solving regularized systems.
出处
《中国石油大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2007年第3期167-170,共4页
Journal of China University of Petroleum(Edition of Natural Science)
关键词
不适定问题
正则化
共轭梯度法
预优因子
迭代法
ill-posed problem
regularization
conjugate gradient
pre-conditioner
iterative method
