摘要
In this paper we develop two multilevel iteration methods for solving linear systems resulting from the Galerkin method and Tikhonov regularization for linear ill-posed problems.The two algorithms and their convergence analyses are presented in an abstract framework.
In this paper we develop two multilevel iteration methods for solving linear systems resulting from the Galerkin method and Tikhonov regularization for linear ill-posed problems. The two algorithms and their convergence analyses are presented in an abstract framework.
基金
The NSF(0611005)of Jiangxi Province and the SF(2007293)of Jiangxi Provincial Education Department.
关键词
解法
第一类线性算子方程
多层次迭代法
Tikhonov调整
operator equations of the first kind, ill-posed problem, multilevel iteration method, Tikhonov regularization
