In order to overcome the weaknesses of Regularization Method for linear ill-posed problem, the authors suggest a new method named Iteration Method by Rectifying Eigenvalue (IMRE) in this paper. Firstly, the rigorous theoretical proofs that IMRE can achieve convergent and unbiased solution are given. Then an effective method called L-Curve method is introduced to determine parameter α in IMRE. Thirdly, a computing program is designed. Finally an example is given to testify the advantages of IMRE by the above program. © Springer-Verlag Berlin Heidelberg 2005.
CITATION STYLE
Tian, Y., Shi, P., Wang, X., & Qin, K. (2005). A new method for linear ill-posed problems: Iteration method by rectifying eigenvalue. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3584 LNAI, pp. 331–338). Springer Verlag. https://doi.org/10.1007/11527503_40
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