메뉴 건너뛰기




Volumn 29, Issue 1, 2007, Pages 315-330

A projection-based approach to general-form Tikhonov regularization

Author keywords

General form Tikhonov regularization; Iterative bidiagonalization methods

Indexed keywords

ALGORITHMS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 39449117105     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/050645592     Document Type: Article
Times cited : (107)

References (17)
  • 3
    • 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. 487-502.
    • (1982) BIT , vol.22 , pp. 487-502
    • ELDÉN, L.1
  • 4
    • 20544435559 scopus 로고    scopus 로고
    • Tutorial: Analysis of depth resolution in potentialfield inversion
    • M. FEDI, P. C. HANSEN, AND V. PAOLETTI, Tutorial: Analysis of depth resolution in potentialfield inversion, Geophys., 70 (2005), pp. A1-A11.
    • (2005) Geophys , vol.70
    • FEDI, M.1    HANSEN, P.C.2    PAOLETTI, V.3
  • 5
    • 0004236492 scopus 로고    scopus 로고
    • 3rd ed, The Johns Hopkins University Press, Baltimore, MD
    • G. H. GOLUB AND C. F. VAN LOAN, Matrix Computations, 3rd ed., The Johns Hopkins University Press, Baltimore, MD, 1996.
    • (1996) Matrix Computations
    • GOLUB, G.H.1    VAN LOAN, C.F.2
  • 7
    • 0033406590 scopus 로고    scopus 로고
    • Two-level preconditioners for regularized inverse problems
    • M. HANKE AND C. R. VOGEL, Two-level preconditioners for regularized inverse problems. I. Theory, Numer. Math., 83 (1999), pp. 385-402.
    • (1999) I. Theory, Numer. Math , vol.83 , pp. 385-402
    • HANKE, M.1    VOGEL, C.R.2
  • 8
    • 33645036956 scopus 로고    scopus 로고
    • Exploiting residual information in the parameter choice for discrete ill-posed problems
    • P. C. HANSEN, M. KILMER, AND R. H. KJELDSEN, Exploiting residual information in the parameter choice for discrete ill-posed problems, BIT, 46 (1996), pp, 41-59.
    • (1996) BIT , vol.46 , pp. 41-59
    • HANSEN, P.C.1    KILMER, M.2    KJELDSEN, R.H.3
  • 9
    • 0000303746 scopus 로고
    • Regularization, GSVD and truncated GSVD
    • P. C. HANSEN, Regularization, GSVD and truncated GSVD, BIT, 29 (1989), pp. 491-504.
    • (1989) BIT , vol.29 , pp. 491-504
    • HANSEN, P.C.1
  • 10
    • 0000477916 scopus 로고
    • The discrete Picard condition for discrete ill-posed problems
    • P. C. HANSEN, The discrete Picard condition for discrete ill-posed problems, BIT, 30 (1990), pp. 658-672.
    • (1990) BIT , vol.30 , pp. 658-672
    • HANSEN, P.C.1
  • 11
    • 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
  • 12
    • 4043171188 scopus 로고    scopus 로고
    • Subspace preconditioned LSQR for discrete ill-posed problems
    • M. JACOBSEN, P. C. HANSEN, AND M. A. SAUNDERS, Subspace preconditioned LSQR for discrete ill-posed problems, BIT, 43 (2003), pp. 975-989.
    • (2003) BIT , vol.43 , pp. 975-989
    • JACOBSEN, M.1    HANSEN, P.C.2    SAUNDERS, M.A.3
  • 13
    • 33947199508 scopus 로고    scopus 로고
    • Smoothing-norm preconditioning for regularizing minimum-residual methods
    • T. K. JENSEN AND P. C. HANSEN, 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
    • JENSEN, T.K.1    HANSEN, P.C.2
  • 14
    • 0035537408 scopus 로고    scopus 로고
    • Choosing regularization parameters in iterative methods for ill-posed problems
    • M. E. KILMER AND D. P. O'LEARY, Choosing regularization parameters in iterative methods for ill-posed problems, SIAM J. Matrix Anal. Appl., 22 (2001), pp. 1204-1221.
    • (2001) SIAM J. Matrix Anal. Appl , vol.22 , pp. 1204-1221
    • KILMER, M.E.1    O'LEARY, D.P.2
  • 15
    • 0039943513 scopus 로고
    • LSQR: An algorithm for sparse linear equations and sparse least squares problems
    • C. C. PAIGE AND M. A. SAUNDERS, LSQR: An algorithm for sparse linear equations and sparse least squares problems, ACM Trans. Math Software, 8 (1982), pp. 43-71.
    • (1982) ACM Trans. Math Software , vol.8 , pp. 43-71
    • PAIGE, C.C.1    SAUNDERS, M.A.2
  • 16
    • 0005462653 scopus 로고    scopus 로고
    • Computing projections with LSQR
    • M. A. SAUNDERS, Computing projections with LSQR, BIT, 37 (1997), pp. 96-104.
    • (1997) BIT , vol.37 , pp. 96-104
    • SAUNDERS, M.A.1
  • 17
    • 0030550056 scopus 로고    scopus 로고
    • Computing the generalized singular values/vectors of large sparse or structured matrix pairs
    • H. ZHA, Computing the generalized singular values/vectors of large sparse or structured matrix pairs, Numer. Math., 72 (1996), pp. 391-417.
    • (1996) Numer. Math , vol.72 , pp. 391-417
    • ZHA, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.