A modified Tikhonov regularization method

摘要

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.