Convergence rates for Tikhonov regularization based on range inclusions
暂无分享,去创建一个
[1] David L. Russell,et al. A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations , 1973 .
[2] Markus Hegland,et al. Variable hilbert scales and their interpolation inequalities with applications to tikhonov regularization , 1995 .
[3] Thorsten Hohage,et al. Regularization of exponentially ill-posed problems , 2000 .
[4] A. Tikhonov,et al. Numerical Methods for the Solution of Ill-Posed Problems , 1995 .
[5] Daisuke Fujiwara,et al. Concrete Characterization of the Domains of Fractional Powers of Some Elliptic Differential Operators of the Second Order , 1967 .
[6] R. Kress,et al. Inverse Acoustic and Electromagnetic Scattering Theory , 1992 .
[7] Masahiro Yamamoto,et al. LETTER TO THE EDITOR: One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization , 2000 .
[8] A. N. Tikhonov,et al. Solutions of ill-posed problems , 1977 .
[9] P. Mathé,et al. Discretization strategy for linear ill-posed problems in variable Hilbert scales , 2003 .
[10] C. W. Groetsch,et al. The theory of Tikhonov regularization for Fredholm equations of the first kind , 1984 .
[11] B. Hofmann. The potential for ill-posedness of multiplication operators occurring in inverse problems , 2005 .
[12] V. V. Vasin,et al. Ill-posed problems with a priori information , 1995 .
[13] Ulrich Tautenhahn,et al. Optimality for ill-posed problems under general source conditions , 1998 .
[14] Andreas Neubauer,et al. Convergence rates for Tikhonov regularization in finite-dimensional subspaces of Hilbert scales , 1988 .
[15] P. Mathé,et al. Geometry of linear ill-posed problems in variable Hilbert scales Inverse Problems 19 789-803 , 2003 .
[16] B. Hofmann,et al. Stability rates for linear ill-posed problems with compact and non-compact operators. , 1999 .
[17] Karen A. Ames,et al. Non-Standard and Improperly Posed Problems , 1997 .
[18] H. Engl,et al. Regularization of Inverse Problems , 1996 .
[19] Andreas Neubauer,et al. When do Sobolev spaces form a Hilbert scale , 1988 .
[20] A. Kirsch. An Introduction to the Mathematical Theory of Inverse Problems , 1996, Applied Mathematical Sciences.
[21] Rudolf Gorenflo,et al. Operator theoretic treatment of linear Abel integral equations of first kind , 1999 .
[22] Andreas Neubauer,et al. Numerical realization of an optimal discrepancy principle for Tikhonov-regularization in Hilbert scales , 1987, Computing.
[23] Masahiro Yamamoto,et al. Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method , 1995 .
[24] B. Hofmann,et al. On Ill-Posedness Measures and Space Change in Sobolev Scales , 1997 .
[25] B. Hofmann. Regularization for Applied Inverse and III-Posed Problems , 1986 .
[26] F. Natterer. Error bounds for tikhonov regularization in hilbert scales , 1984 .
[27] Hiroki Tanabe,et al. Equations of evolution , 1979 .
[28] Bernard A. Mair,et al. Tikhonov regularization for finitely and infinitely smoothing operators , 1994 .
[29] J. Baumeister. Stable solution of inverse problems , 1987 .