메뉴 건너뛰기




Volumn 25, Issue 6, 2009, Pages

On enhanced convergence rates for Tikhonov regularization of nonlinear ill-posed problems in Banach spaces

Author keywords

[No Author keywords available]

Indexed keywords

BREGMAN DISTANCES; CONVERGENCE RATES; EXACT SOLUTION; ILL POSED PROBLEM; NOISE FREE CASE; NONLINEAR ILL-POSED PROBLEMS; SOURCE CONDITIONS; TIKHONOV REGULARIZATION;

EID: 70350330305     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/25/6/065009     Document Type: Article
Times cited : (23)

References (15)
  • 2
    • 27744525221 scopus 로고    scopus 로고
    • Adaptive optimization of convex functionals in Banach spaces
    • Canuto C and Urban K 2005 Adaptive optimization of convex functionals in Banach spaces SIAM J. Numer. Anal. 42 2043-75
    • (2005) SIAM J. Numer. Anal. , vol.42 , pp. 2043-2075
    • Canuto, C.1    Urban, K.2
  • 6
    • 70350333275 scopus 로고    scopus 로고
    • Tikhonov regularization in Banach spaces-improved convergence rates results
    • Hein T 2009 Tikhonov regularization in Banach spaces-improved convergence rates results Inverse Problems 25 035002
    • (2009) Inverse Problems , vol.25 , pp. 035002
    • Hein, T.1
  • 7
    • 54749132261 scopus 로고    scopus 로고
    • Optimal convergence rates for Tikhonov regularization in Besov scales
    • Lorenz D A and Trede D 2008 Optimal convergence rates for Tikhonov regularization in Besov scales Inverse Problems 24 055005
    • (2008) Inverse Problems , vol.24 , pp. 055005
    • Lorenz, D.A.1    Trede, D.2
  • 8
    • 0001425652 scopus 로고
    • Tikhonov regularization for nonlinear ill-posed problems: Optimal convergence and finite-dimensional approximation
    • Neubauer A 1989 Tikhonov regularization for nonlinear ill-posed problems: optimal convergence and finite-dimensional approximation Inverse Problems 5 541-57
    • (1989) Inverse Problems , vol.5 , pp. 541-557
    • Neubauer, A.1
  • 9
    • 0004865563 scopus 로고    scopus 로고
    • On converse and saturation results for Tikhonov regularization of linear ill-posed problems
    • Neubauer A 1997 On converse and saturation results for Tikhonov regularization of linear ill-posed problems SIAM J. Numer. Anal. 34 517-27
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 517-527
    • Neubauer, A.1
  • 11
    • 33744766866 scopus 로고    scopus 로고
    • Error estimates for non-quadratic regularization and the relation to enhancement
    • Resmerita E and Scherzer O 2006 Error estimates for non-quadratic regularization and the relation to enhancement Inverse Problems 22 801-14
    • (2006) Inverse Problems , vol.22 , pp. 801-814
    • Resmerita, E.1    Scherzer, O.2
  • 13
    • 31844445760 scopus 로고    scopus 로고
    • Nonlinear iterative methods for linear ill-posed problems in Banach spaces
    • Schöpfer F, Louis A K and Schuster T 2006 Nonlinear iterative methods for linear ill-posed problems in Banach spaces Inverse Problems 22 311-29
    • (2006) Inverse Problems , vol.22 , pp. 311-329
    • Schöpfer, F.1    Louis, A.K.2    Schuster, T.3
  • 14
    • 54749125796 scopus 로고    scopus 로고
    • An iterative regularization method for the solution of the split feasibility problem in Banach spaces
    • Schöpfer F, Schuster T and Louis A K 2008 An iterative regularization method for the solution of the split feasibility problem in Banach spaces Inverse Problems 24 055008
    • (2008) Inverse Problems , vol.24 , pp. 055008
    • Schöpfer, F.1    Schuster, T.2    Louis, A.K.3
  • 15
    • 50749132985 scopus 로고
    • Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
    • Z-B Xu and Roach G F 1991 Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces J. Math. Anal. Appl. 157 189-210
    • (1991) J. Math. Anal. Appl. , vol.157 , pp. 189-210
    • Xu, Z.-B.1    Roach, G.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.