Tikhonov regularization based on generalized Krylov subspace methods

[1]  Lothar Reichel,et al.  Arnoldi-Tikhonov regularization methods , 2009 .

[2]  Lothar Reichel,et al.  SIMPLE SQUARE SMOOTHING REGULARIZATION OPERATORS , 2009 .

[3]  Lothar Reichel,et al.  A new zero-finder for Tikhonov regularization , 2008 .

[4]  Per Christian Hansen,et al.  Regularization Tools version 4.0 for Matlab 7.3 , 2007, Numerical Algorithms.

[5]  Serena Morigi,et al.  Orthogonal projection regularization operators , 2007, Numerical Algorithms.

[6]  Lothar Reichel,et al.  Decomposition methods for large linear discrete ill-posed problems , 2007 .

[7]  Misha Elena Kilmer,et al.  A Projection-Based Approach to General-Form Tikhonov Regularization , 2007, SIAM J. Sci. Comput..

[8]  S. Serra-Capizzano,et al.  Improved image deblurring with anti-reflective boundary conditions and re-blurring , 2006 .

[9]  Lothar Reichel,et al.  Invertible smoothing preconditioners for linear discrete ill-posed problems , 2005 .

[10]  D. Calvetti,et al.  Tikhonov Regularization of Large Linear Problems , 2003 .

[11]  Claude Brezinski,et al.  Multi-parameter regularization techniques for ill-conditioned linear systems , 2003, Numerische Mathematik.

[12]  Qiang Ye,et al.  A Krylov Subspace Method for Quadratic Matrix Polynomials with Application to Constrained Least Squares Problems , 2003, SIAM J. Matrix Anal. Appl..

[13]  Fiorella Sgallari,et al.  Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution , 2003, Numerische Mathematik.

[14]  Per Christian Hansen,et al.  L-Curve Curvature Bounds via Lanczos Bidiagonalization , 2001 .

[15]  Max A. Viergever,et al.  Efficient and reliable schemes for nonlinear diffusion filtering , 1998, IEEE Trans. Image Process..

[16]  Per Christian Hansen,et al.  Rank-Deficient and Discrete Ill-Posed Problems , 1996 .

[17]  Jitendra Malik,et al.  Scale-Space and Edge Detection Using Anisotropic Diffusion , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[18]  P. Hansen Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion , 1987 .

[19]  T. Chan,et al.  Nonlinearly Preconditioned Krylov Subspace Methods for Discrete Newton Algorithms , 1984 .

[20]  C. W. Groetsch,et al.  The theory of Tikhonov regularization for Fredholm equations of the first kind , 1984 .

[21]  L. Eldén A weighted pseudoinverse, generalized singular values, and constrained least squares problems , 1982 .

[22]  M. Baart The Use of Auto-correlation for Pseudo-rank Determination in Noisy III-conditioned Linear Least-squares Problems , 1982 .