메뉴 건너뛰기




Volumn 47, Issue 1, 2007, Pages 103-120

Iterative regularization with minimum-residual methods

Author keywords

Discrete ill posed problems; GMRES; Iterative regularization; Krylov subspaces; MINRES; MR II; RRGMRES

Indexed keywords


EID: 33947289422     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-006-0109-5     Document Type: Article
Times cited : (70)

References (18)
  • 2
    • 10844257520 scopus 로고    scopus 로고
    • Non-negativity and iterative methods for ill-posed problems
    • D. Calvetti, G. Landi, L. Reichel, and F. Sgallari, Non-negativity and iterative methods for ill-posed problems, Inverse Probl., 20 (2004), pp. 1747-1758.
    • (2004) Inverse Probl , vol.20 , pp. 1747-1758
    • Calvetti, D.1    Landi, G.2    Reichel, L.3    Sgallari, F.4
  • 3
    • 0034399370 scopus 로고    scopus 로고
    • GMRES-type methods for inconsistent systems
    • D. Calvetti, B. Lewis, and L. Reichel, GMRES-type methods for inconsistent systems, Linear Algebra Appl., 316 (2000), pp. 157-169.
    • (2000) Linear Algebra Appl , vol.316 , pp. 157-169
    • Calvetti, D.1    Lewis, B.2    Reichel, L.3
  • 4
    • 0042232525 scopus 로고    scopus 로고
    • GMRES, L-curves, and discrete ill-posed problems
    • D. Calvetti, B. Lewis, and L. Reichel, GMRES, L-curves, and discrete ill-posed problems, BIT, 42 (2002), pp. 44-65.
    • (2002) BIT , vol.42 , pp. 44-65
    • Calvetti, D.1    Lewis, B.2    Reichel, L.3
  • 5
    • 0036627743 scopus 로고    scopus 로고
    • On the regularizing properties of the GMRES method
    • D. Calvetti, B. Lewis, and L. Reichel, On the regularizing properties of the GMRES method, Numer. Math., 91 (2002), pp. 605-625.
    • (2002) Numer. Math , vol.91 , pp. 605-625
    • Calvetti, D.1    Lewis, B.2    Reichel, L.3
  • 7
    • 21344437334 scopus 로고    scopus 로고
    • A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems
    • B. Fischer, M. Hanke, and M. Hochbruck, A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems, Numer. Algorithms, 11 (1996), pp. 181-187.
    • (1996) Numer. Algorithms , vol.11 , pp. 181-187
    • Fischer, B.1    Hanke, M.2    Hochbruck, M.3
  • 9
    • 2942633674 scopus 로고    scopus 로고
    • On Lanczos based methods for the regularization of discrete ill-posed problems
    • M. Hanke, On Lanczos based methods for the regularization of discrete ill-posed problems, BIT, 41 (2001), pp. 1008-1018.
    • (2001) BIT , vol.41 , pp. 1008-1018
    • Hanke, M.1
  • 10
    • 0000137080 scopus 로고    scopus 로고
    • Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques
    • M. Hanke and J. G. Nagy, Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques, Inverse Probl., 12 (1996), pp. 157-173.
    • (1996) Inverse Probl , vol.12 , pp. 157-173
    • Hanke, M.1    Nagy, J.G.2
  • 11
    • 13344267706 scopus 로고    scopus 로고
    • Regularization Tools, A Matlab package for analysis and solution of discrete ill-posed problems
    • P. C. Hansen, Regularization Tools, A Matlab package for analysis and solution of discrete ill-posed problems, Numer. Algorithms, 6 (2004), pp. 1-35.
    • (2004) Numer. Algorithms , vol.6 , pp. 1-35
    • Hansen, P.C.1
  • 12
    • 33947199508 scopus 로고    scopus 로고
    • Smoothing-norm preconditioning for regularizing minimum-residual methods
    • P. C. Hansen and T. K. Jensen, Smoothing-norm preconditioning for regularizing minimum-residual methods, SIAM J. Matrix Anal. Appl., 29 (2006), pp. 1-14.
    • (2006) SIAM J. Matrix Anal. Appl , vol.29 , pp. 1-14
    • Hansen, P.C.1    Jensen, T.K.2
  • 15
    • 33947240039 scopus 로고    scopus 로고
    • M. E. Kilmer, On the regularizing properties of Krylov subspace methods, unpublished; results presented at BIT 40th Anniversary meeting, Lund, Sweden, 2000.
    • M. E. Kilmer, On the regularizing properties of Krylov subspace methods, unpublished; results presented at BIT 40th Anniversary meeting, Lund, Sweden, 2000.
  • 17
    • 0016555955 scopus 로고
    • Solution of sparse indefinite systems of linear equations
    • C. C. Paige and M. A. Saunders, Solution of sparse indefinite systems of linear equations, SIAM J. Numer. Anal., 12 (1975), pp. 617-629.
    • (1975) SIAM J. Numer. Anal , vol.12 , pp. 617-629
    • Paige, C.C.1    Saunders, M.A.2
  • 18
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. Saad and M. H. Schultz, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Stat. Comput., 7 (1986), pp. 856-869.
    • (1986) SIAM J. Sci. Stat. Comput , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.