Regularization by projection: Approximation theoretic aspects and distance functions
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[1] J. Baumeister. Stable solution of inverse problems , 1987 .
[2] Barbara Kaltenbacher,et al. Regularization by projection with a posteriori discretization level choice for linear and nonlinear ill-posed problems , 2000 .
[3] J. Guermond,et al. Theory and practice of finite elements , 2004 .
[4] Otmar Scherzer,et al. A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions , 1998 .
[5] A. Pinkus. n-Widths in Approximation Theory , 1985 .
[6] A. Aziz. The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations , 1972 .
[7] Bernd Hofmann,et al. Convergence rates for Tikhonov regularization from different kinds of smoothness conditions , 2006 .
[8] B. Hofmann,et al. Range Inclusions and Approximate Source Conditions with General Benchmark Functions , 2007 .
[9] H. Engl,et al. Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems , 1993 .
[10] S. George. Newton–Tikhonov regularization of ill-posed Hammerstein operator equation , 2006 .
[11] M. Hanke,et al. A convergence analysis of the Landweber iteration for nonlinear ill-posed problems , 1995 .
[12] P. Mathé,et al. Geometry of linear ill-posed problems in variable Hilbert scales Inverse Problems 19 789-803 , 2003 .
[13] A. Bakushinsky,et al. Iterative Methods for Approximate Solution of Inverse Problems , 2005 .
[14] Karl Kunisch,et al. On Weakly Nonlinear Inverse Problems , 1996, SIAM J. Appl. Math..
[15] Barbara Kaltenbacher,et al. Convergence of projected iterative regularization methods for nonlinear problems with smooth solutions , 2006 .
[16] Otmar Scherzer,et al. Factors influencing the ill-posedness of nonlinear problems , 1994 .
[17] Bernd Hofmann,et al. Convergence rates for Tikhonov regularization based on range inclusions , 2005 .
[18] Heinz W. Engl,et al. Regularization Methods for Nonlinear Ill-Posed Problems with Applications to Phase Reconstruction , 1997 .
[19] P. Mathé. The Lepskii principle revisited , 2006 .
[20] J. Dieudonné,et al. Éléments d'analyse , 1972 .
[22] Bernd Hofmann,et al. Analysis of Profile Functions for General Linear Regularization Methods , 2007, SIAM J. Numer. Anal..
[23] S. George,et al. Newton–Lavrentiev regularization of ill-posed Hammerstein type operator equation , 2006 .
[24] A. Kirsch. An Introduction to the Mathematical Theory of Inverse Problems , 1996, Applied Mathematical Sciences.
[25] A. Goldenshluger,et al. Adaptive estimation of linear functionals in Hilbert scales from indirect white noise observations , 2000 .
[26] Alexander V. Avdeev,et al. Inverse Problems of Mathematical Physics , 2003 .
[27] R. Kress,et al. Inverse Acoustic and Electromagnetic Scattering Theory , 1992 .
[28] P. Mathé,et al. Discretization strategy for linear ill-posed problems in variable Hilbert scales , 2003 .
[29] Frank Natterer,et al. Regularisierung schlecht gestellter Probleme durch Projektionsverfahren , 1977 .
[30] H. Engl,et al. Regularization of Inverse Problems , 1996 .