Relations between SVD and GSVD of Discrete regularization problems in standard and general form

[1]  Per Christian Hansen,et al.  Truncated Singular Value Decomposition Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank , 1990, SIAM J. Sci. Comput..

[2]  Per Christian Hansen,et al.  Computing Truncated Singular Value Decomposition Least Squares Solutions by Rank Revealing QR-Factorizations , 1990, SIAM J. Sci. Comput..

[3]  P. Hansen Regularization,GSVD and truncatedGSVD , 1989 .

[4]  M. Bertero,et al.  Ill-posed problems in early vision , 1988, Proc. IEEE.

[5]  Å. Björck A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations , 1988 .

[6]  Per Christian Hansen,et al.  Solution of Ill-Posed Problems by Means of Truncated SVD , 1988 .

[7]  P. Hansen The truncatedSVD as a method for regularization , 1987 .

[8]  V. Hari,et al.  On Jacobi methods for singular value decompositions , 1987 .

[9]  C. Paige Computing the generalized singular value decomposition , 1986 .

[10]  L. Eldén A note on the computation of the generalized cross-validation function for ill-conditioned least squares problems , 1984 .

[11]  J. Cuppen,et al.  Calculating the Isochrones of Ventricular Depolarization , 1984 .

[12]  F. Natterer,et al.  Mathematical problems of computerized tomography , 1983, Proceedings of the IEEE.

[13]  L. Eldén Algorithms for the regularization of ill-conditioned least squares problems , 1977 .

[14]  C. Loan Generalizing the Singular Value Decomposition , 1976 .

[15]  Å. Björck Least squares methods , 1990 .

[16]  N. LarsEldi A NOTE ON THE COMPUTATION OF THE GENERALIZED CROSS-VALIDATION FUNCTION FOR ILL-CONDITIONED LEAST SQUARES PROBLEMS , 1984 .

[17]  J. Varah A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems , 1979 .