Projection method for fractional Lavrentiev regularisation method in Hilbert scales
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Publication:6040588
DOI10.1007/s41478-022-00516-9MaRDI QIDQ6040588
Chitra Mekoth, P. Jidesh, Santhosh George, Yeol Je Cho
Publication date: 19 May 2023
Published in: The Journal of Analysis (Search for Journal in Brave)
Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Numerical methods for integral transforms (65R10) Numerical solutions to equations with linear operators (65J10) Linear operators and ill-posed problems, regularization (47A52)
Cites Work
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- Fractional regularization matrices for linear discrete ill-posed problems
- Fractional Tikhonov regularization for linear discrete ill-posed problems
- On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales
- The parameter choice rules for weighted Tikhonov regularization scheme
- On fractional Tikhonov regularization
- Ritz-regularization versus least-square-regularization. Solution methods for integral equations of the first kind
- On the optimality of methods for ill-posed problems
- Error bounds and parameter choice strategies for simplified regularization in Hilbert scales
- An optimal order yielding discrepancy principle for simplified regularization of ill-posed problems in Hilbert scales
- Adaptive estimation of linear functionals in Hilbert scales from indirect white noise observa\-tions
- An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems
- On Landweber iteration for nonlinear ill-posed problems in Hilbert scales
- Fractional Tikhonov regularization with a nonlinear penalty term
- An a posteriori parameter choice for simplified regularization of ill- posed problems
- AIR tools II: algebraic iterative reconstruction methods, improved implementation
- Simplified generalized Gauss-Newton method for nonlinear ill-posed operator equations in Hilbert scales
- IR tools: a MATLAB package of iterative regularization methods and large-scale test problems
- An iterative Lavrentiev regularization method
- Lavrentiev regularization and balancing principle for solving ill-posed problems with monotone operators
- Newton Lavrentiev regularization for ill-posed operator equations in Hilbert scales
- Improvement of the resolution of an instrument by numerical solution of an integral equation
- An a Posteriori Parameter Choice for Tikhonov Regularization in Hilbert Scales Leading to Optimal Convergence Rates
- A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
- Optimal Estimation of Linear Operators in Hilbert Spaces from Inaccurate Data
- On a general regularization scheme for nonlinear ill-posed problems: II. Regularization in Hilbert scales
- On the method of Lavrentiev regularization for nonlinear ill-posed problems
- Tikhonov regularization of nonlinear ill-posed problems with closed operators in Hilbert scales
- Geometry of linear ill-posed problems in variable Hilbert scales
- Tikhonov regularization in Hilbert scales under conditional stability assumptions
- Tikhonov regularization of nonlinear III-posed problems in hilbert scales
- Error bounds for tikhonov regularization in hilbert scales
- Iterated fractional Tikhonov regularization
- Error Estimates for Regularization Methods in Hilbert Scales
- Regularization by fractional filter methods and data smoothing
- On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems
- SCALES OF BANACH SPACES