TY - BOOK
T1 - An iterative method for Tikhonov regularization with a general linear regularization operator
AU - Hochstenbach, M.E.
AU - Reichel, L.
PY - 2010
Y1 - 2010
N2 - Tikhonov regularization is one of the most popular approaches to solve discrete ill-posed problems with error-contaminated data. A regularization operator and a suitable value of a regularization parameter have to be chosen. This paper describes an iterative method, based on Golub-Kahan bidiagonalization, for solving large-scale Tikhonov minimization problems with a linear regularization operator of general form. The regularization parameter is determined by the discrepancy principle. Computed examples illustrate the performance of the method.
Key words. Discrete ill-posed problem, iterative method, Tikhonov regularization, general
linear regularization operator, discrepancy principle.
AB - Tikhonov regularization is one of the most popular approaches to solve discrete ill-posed problems with error-contaminated data. A regularization operator and a suitable value of a regularization parameter have to be chosen. This paper describes an iterative method, based on Golub-Kahan bidiagonalization, for solving large-scale Tikhonov minimization problems with a linear regularization operator of general form. The regularization parameter is determined by the discrepancy principle. Computed examples illustrate the performance of the method.
Key words. Discrete ill-posed problem, iterative method, Tikhonov regularization, general
linear regularization operator, discrepancy principle.
M3 - Report
T3 - CASA-report
BT - An iterative method for Tikhonov regularization with a general linear regularization operator
PB - Technische Universiteit Eindhoven
CY - Eindhoven
ER -