메뉴 건너뛰기




Volumn 29, Issue 1, 2006, Pages 1-14

Smoothing-norm preconditioning for regularizing minimum-residual methods

Author keywords

General form regularization; GMRES; MINRES; Regularizing iterations; Smoothing norm; Weighted pseudoinverse

Indexed keywords

COMPUTATIONAL EFFICIENCY; ITERATIVE METHODS; MATRIX ALGEBRA; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 33947199508     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/050628453     Document Type: Article
Times cited : (52)

References (15)
  • 1
    • 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
  • 2
    • 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
  • 3
    • 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
  • 4
    • 19044377282 scopus 로고    scopus 로고
    • Invertible smoothing preconditioners for linear discrete ill-posed problems
    • D. CALVETTI. L. REICHEL, AND A. SHUIBI, Invertible smoothing preconditioners for linear discrete ill-posed problems, Appl. Numer. Math., 54 (2005), pp. 135-149.
    • (2005) Appl. Numer. Math , vol.54 , pp. 135-149
    • CALVETTI, D.1    REICHEL, L.2    SHUIBI, A.3
  • 5
    • 0020243342 scopus 로고
    • A weighted pseudoinverse, generalized singular values, and constrained least squares problems
    • L. ELDÉN, A weighted pseudoinverse, generalized singular values, and constrained least squares problems, BIT, 22 (1982), pp. 487-501.
    • (1982) BIT , vol.22 , pp. 487-501
    • ELDÉN, L.1
  • 7
    • 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
  • 8
    • 0001273835 scopus 로고
    • Regularization methods for large-scale problems, Surveys Math
    • M. HANKE AND P. C. HANSEN, Regularization methods for large-scale problems, Surveys Math. Industry, 3 (1993), pp. 253-315.
    • (1993) Industry , vol.3 , pp. 253-315
    • HANKE, M.1    HANSEN, P.C.2
  • 9
    • 13344267706 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 (1994), pp. 1-35.
    • (1994) Numer. Algorithms , vol.6 , pp. 1-35
    • HANSEN, P.C.1
  • 11
    • 39449123421 scopus 로고    scopus 로고
    • Ph.D. thesis, Informatics and Mathematical Modelling, Technical University of Denmark, Lyngby, Denmark
    • M. JACOBSEN, Modular Regularization Algorithms, Ph.D. thesis, Informatics and Mathematical Modelling, Technical University of Denmark, Lyngby, Denmark, 2004.
    • (2004) Modular Regularization Algorithms
    • JACOBSEN, M.1
  • 12
    • 0033632948 scopus 로고    scopus 로고
    • Iterative regularization and MINRES
    • M. KILMER AND G. W. STEWART, Iterative regularization and MINRES, SIAM J. Matrix Anal. Appl., 21 (1999), pp. 613-628.
    • (1999) SIAM J. Matrix Anal. Appl , vol.21 , pp. 613-628
    • KILMER, M.1    STEWART, G.W.2
  • 14
    • 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
  • 15
    • 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. Statist. Comput., 7 (1986), pp. 856-869.
    • (1986) SIAM J. Sci. Statist. Comput , vol.7 , pp. 856-869
    • SAAD, Y.1    SCHULTZ, M.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.