Found 47 Documents (Results 1–47)
Parameter choice strategies for error expressions and the numerical stability of Tikhonov-regularized approximation formulae. (English) Zbl 1524.65180
An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method. (English) Zbl 07676698
A class of parameter choice strategies for the finite dimensional weighted Tikhonov regularization scheme. (English) Zbl 1524.65179
Parameter choices for sparse regularization with the \(\ell_1\) norm. (English) Zbl 07640701
MSC:
47A52
A posteriori regularization method for the two-dimensional inverse heat conduction problem. (English) Zbl 1496.65146
Newton-Kantorovich regularization method for nonlinear ill-posed equations involving \(m\)-accretive operators in Banach spaces. (English) Zbl 1501.47100
Reviewer: Bangti Jin (London)
Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term. (English) Zbl 07192776
Derivative free regularization method for nonlinear ill-posed equations in Hilbert scales. (English) Zbl 1475.65035
Extended Newton-type iteration for nonlinear ill-posed equations in Banach space. (English) Zbl 1468.65068
Lavrentiev’s regularization method for nonlinear ill-posed equations in Banach spaces. (English) Zbl 1399.47154
A parameter choice strategy for a multilevel augmentation method in iterated Lavrentiev regularization. (English) Zbl 06864426
Multiscale Galerkin methods for the nonstationary iterated Tikhonov method with a modified posteriori parameter selection. (English) Zbl 1382.65469
Fast multiscale collocation methods for solving iterated Lavrentiev equations. (Chinese. English summary) Zbl 1413.65498
Multiscale collocation methods for ill-posed integral equations with a modified posteriori parameter selection. (English) Zbl 1422.65462
Reviewer: Neville Ford (Chester)
A multiscale Galerkin method for Fredholm integral equations of the first kind with perturbed initial data based on truncated method. (Chinese. English summary) Zbl 1340.65117
Multilevel Jacobi and Gauss-Seidel type iteration methods for solving ill-posed integral equations. (English) Zbl 1326.65181
Parameter choice strategies for least-squares approximation of noisy smooth functions on the sphere. (English) Zbl 1314.65040
A new a posteriori parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem. (English) Zbl 1310.65113
Fast multi-level iteration methods with compression technique for solving ill-posed integral equations. (English) Zbl 1314.65163
A multilevel iterative algorithm for solving Fredholm integral equation of the first kind. (Chinese. English summary) Zbl 1299.65303
The discretization of the DSM methods for solving the ill-posed integral equation of the first kind based on the truncated strategy. (Chinese. English summary) Zbl 1265.65281
Inverse and ill-posed problems. Theory and applications. (English) Zbl 1247.65077
Inverse and Ill-Posed Problems Series 55. Berlin: de Gruyter (ISBN 978-3-11-022400-9/hbk; 978-3-11-022401-6/ebook). xv, 459 p. (2012).
Reviewer: Robert Plato (Siegen)
MSC:
65J22
65J20
34B24
35R25
35R30
45Q05
47A52
65F20
65F22
65M30
65M32
65N20
65N21
80A23
35K20
35K58
35J25
35L05
35L20
45G10
45B05
45D05
35Q61
44A12
65R10
65R30
65R32
35-02
45-02
65-02
34A55
An optimal regularized projection method for solving ill-posed problems via dynamical systems method. (English) Zbl 1201.65097
Reviewer: Robert Plato (Siegen)
Multi-parameter Tikhonov regularization for linear ill-posed operator equations. (English) Zbl 1174.65018
A parameter choice strategy for a multi-level augmentation method solving ill-posed operator equations. (English) Zbl 1172.65025
Reviewer: Otu Vaarmann (Tallinn)
Fast collocation methods for solving ill-posed integral equations of the first kind. (English) Zbl 1167.65073
Reviewer: Otmar Scherzer (Wien)
Simplified iterative Tikhonov regularization and posteriori parameter choice rules. (English) Zbl 1085.65047
Reviewer: Iulian Coroian (Baia Mare)
Convergence analysis of a regularized approximation for solving Fredholm integral equations of the first kind. (English) Zbl 1021.65070
Reviewer: Zhang Wanguo (Shanghai)
Optimal order results for a class of regularization methods using unbounded operators. (English) Zbl 1028.65058
Reviewer: Hermann Brunner (St.John’s)
Convergence rates of regularized solutions and parameter choice strategy for semi-positive definite operator equations. (Chinese. English summary) Zbl 0920.65036
Reviewer: Wang Cun-Zheng (Chengdu)
Special regularizing methods for ill-posed problems with sourcewise represented solutions. (English) Zbl 0916.65056
Reviewer: R.Plato (Berlin)
On a generalized Arcangeli’s method for Tikhonov regularization with inexact data. (English) Zbl 0921.65045
Reviewer: R.Plato (Berlin)
Parameter choice by discrepancy principles for ill-posed problems leading to optimal convergence rates. (English) Zbl 0820.47008
A parameter choice for Tikhonov regularization for solving nonlinear inverse problems leading to optimal convergence rates. (English) Zbl 0797.65048
Reviewer: V.Berinde (Baia Mare)
Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems. (English) Zbl 0799.65060
Reviewer: G.Vainikko (Tartu)
An a posteriori parameter choice for simplified regularization of ill- posed problems. (English) Zbl 0776.65044
Reviewer: G.Dimitriu (Iaşi)
Regularization of ill-posed problems: Optimal parameter choice in finite dimensions. (English) Zbl 0676.65052
Reviewer: J.T.Marti
A posteriori parameter choice for general regularization methods for solving linear ill-posed problems. (English) Zbl 0647.65038
Reviewer: P.C.Hansen
A parameter choice strategy for (iterated) Tikhonov regularization of ill-posed problems leading to superconvergence with optimal rates. (English) Zbl 0621.65053
Parameterwahl bei der Regularisierung schlecht gestellter Probleme mit Differentialoperatoren. (German) Zbl 0579.65055
Eidgenössische Technische Hochschule Zürich. 133 S. (1983).
The choice of a parameter in a penalty method. (English) Zbl 0508.90072
Operations research in progress, Theory Decis. Libr. 32, 17-26 (1982).
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