A modified Tikhonov regularization method
A modified Tikhonov regularization method
复制标题
DOI：
10.1016/j.cam.2015.04.011
复制
发表时间：
2015-11
期刊：
影响因子：
--
通讯作者：
Xiao-Juan Yang;Li Wang
中科院分区：
文献类型：
--
作者：
Xiao-Juan Yang;Li Wang
吉洪诺夫正则化和截断奇异值分解 (TSVD) 是用于从线性离散不适定问题求解最小二乘问题的两种基本技术。基于这两种技术，提出了一种改进的正则化方法，并将其应用于基于Arnoldi的混合方法。理论分析和数值算例说明了该方法的有效性。
Tikhonov regularization and truncated singular value decomposition (TSVD) are two elementary techniques for solving a least squares problem from a linear discrete ill-posed problem. Based on these two techniques, a modified regularization method is proposed, which is applied to an Arnoldi-based hybrid method. Theoretical analysis and numerical examples are presented to illustrate the effectiveness of the method.