摘要
根据紧算子的奇异系统理论,提出了一种新的正则化子,进而建立了一类新的求解病态问题的正则化方法。证明了正则解的收敛性并得到了其最优的渐近收敛阶,数值算例说明文中建立的正则化算法是可行而有效的。
By using the sigular system theory of compact operator, a new regularizing filter and a new regularization method for solving ill-posed problems are established. The convergence and the optimal asymptotic order of the regularized solution are obtained. Numerical results show that the constructed regularization is effective and practical.
出处
《工程数学学报》
CSCD
北大核心
2006年第1期79-84,共6页
Chinese Journal of Engineering Mathematics
基金
山东省自然科学基金(Y2001E03)
国家自然科学基金(10371096
10471080)
关键词
病态问题
正则化子
正则化方法
正则解的收敛阶
ill-posed problems
regularizing filter
constructing of regularization strategy
convergence order of the regalarized solution
