A new zero-finder for Tikhonov regularization

被引:0
|
作者
Lothar Reichel
Andriy Shyshkov
机构
[1] Kent State University,Department of Mathematical Sciences
来源
BIT Numerical Mathematics | 2008年 / 48卷
关键词
ill-posed problem, Tikhonov regularization, discrepancy principle, zero-finder;
D O I
暂无
中图分类号
学科分类号
摘要
Tikhonov regularization with the regularization parameter determined by the discrepancy principle requires the computation of a zero of a rational function. We describe a cubically convergent zero-finder for this purpose.
引用
收藏
页码:627 / 643
页数:16
相关论文
共 50 条
  • [41] Convex Tikhonov regularization in Banach spaces: New results on convergence rates
    Kindermann, Stefan
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2016, 24 (03): : 341 - 350
  • [42] A Tikhonov regularization method for Cauchy problem based on a new relaxation model
    Huang, Qin
    Gong, Rongfang
    Jin, Qinian
    Zhang, Ye
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 74
  • [43] A new improved fractional Tikhonov regularization method for moving force identification
    Li, Mingqiang
    Wang, Linjun
    Luo, Chengsheng
    Wu, Hongchun
    STRUCTURES, 2024, 60
  • [44] GCV for Tikhonov regularization by partial SVD
    Caterina Fenu
    Lothar Reichel
    Giuseppe Rodriguez
    Hassane Sadok
    BIT Numerical Mathematics, 2017, 57 : 1019 - 1039
  • [45] Projected nonstationary iterated Tikhonov regularization
    Guangxin Huang
    Lothar Reichel
    Feng Yin
    BIT Numerical Mathematics, 2016, 56 : 467 - 487
  • [46] On the convergence of algorithms with Tikhonov regularization terms
    Bruno Dinis
    Pedro Pinto
    Optimization Letters, 2021, 15 : 1263 - 1276
  • [47] Tikhonov regularization of metrically regular inclusions
    Gaydu, Michael
    Geoffroy, Michel H.
    POSITIVITY, 2009, 13 (02) : 385 - 398
  • [48] Tikhonov's Regularization to the Deconvolution Problem
    Dang Duc Trong
    Cao Xuan Phuong
    Truong Trung Tuyen
    Dinh Ngoc Thanh
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2014, 43 (20) : 4384 - 4400
  • [49] Oversmoothing Tikhonov regularization in Banach spaces *
    Chen, De-Han
    Hofmann, Bernd
    Yousept, Irwin
    INVERSE PROBLEMS, 2021, 37 (08)
  • [50] Infinite-σ limits for Tikhonov regularization
    Lippert, Ross A.
    Rifkin, Ryan M.
    JOURNAL OF MACHINE LEARNING RESEARCH, 2006, 7 : 855 - 876