Invertible smoothing preconditioners for linear discrete ill-posed problems

被引：42
|
作者：
Calvetti, D
Reichel, L [1 ]
Shuibi, A
机构：
[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA
[2] Case Western Reserve Univ, Dept Math, Cleveland, OH 44106 USA
[3] De Paul Univ, Dept Math Sci, Chicago, IL 60614 USA
来源：
APPLIED NUMERICAL MATHEMATICS | 2005年 / 54卷 / 02期
关键词：
ill-posed problem; iterative method; GMRES; RRGMRES; LSQR; preconditioning;
D O I：
10.1016/j.apnum.2004.09.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The solution of large linear discrete ill-posed problems by iterative methods has recently received considerable attention. This paper presents invertible smoothing preconditioners which are well suited for use with the GMRES, RRGMRES and LSQR methods. (c) 2004 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：135 / 149
页数：15
相关论文
共 50 条
  • [1] On the discrete linear ill-posed problems
    Stepanov, A.A.
    Mathematical Modelling and Analysis, 1999, 4 (01): : 147 - 152
  • [2] FGMRES for linear discrete ill-posed problems
    Morikuni, Keiichi
    Reichel, Lothar
    Hayami, Ken
    APPLIED NUMERICAL MATHEMATICS, 2014, 75 : 175 - 187
  • [3] Inverse Toeplitz preconditioners for ill-posed problems
    Hanke, M
    Nagy, J
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 284 (1-3) : 137 - 156
  • [4] Circulant preconditioners for discrete ill-posed Toeplitz systems
    Dykes, L.
    Noschese, S.
    Reichel, L.
    NUMERICAL ALGORITHMS, 2017, 75 (02) : 477 - 490
  • [5] Circulant preconditioners for discrete ill-posed Toeplitz systems
    L. Dykes
    S. Noschese
    L. Reichel
    Numerical Algorithms, 2017, 75 : 477 - 490
  • [6] Fractional regularization matrices for linear discrete ill-posed problems
    Hochstenbach, Michiel E.
    Noschese, Silvia
    Reichel, Lothar
    JOURNAL OF ENGINEERING MATHEMATICS, 2015, 93 (01) : 113 - 129
  • [7] Truncated SVD methods for discrete linear ill-posed problems
    Xu, PL
    GEOPHYSICAL JOURNAL INTERNATIONAL, 1998, 135 (02) : 505 - 514
  • [8] A Note on the GMRES Method for Linear Discrete Ill-Posed Problems
    Kuroiwa, Nao
    Nodera, Takashi
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2009, 1 (06) : 816 - 829
  • [9] Fractional Tikhonov regularization for linear discrete ill-posed problems
    Michiel E. Hochstenbach
    Lothar Reichel
    BIT Numerical Mathematics, 2011, 51 : 197 - 215
  • [10] AN APPLICATION OF SYSTOLIC ARRAYS TO LINEAR DISCRETE ILL-POSED PROBLEMS
    ELDEN, L
    SCHREIBER, R
    SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1986, 7 (03): : 892 - 903
12345