Adaptive cross approximation for Tikhonov regularization in general form
From MaRDI portal
Publication:2679685
DOI10.1007/s11075-022-01395-8zbMath1506.65247arXiv2204.05740OpenAlexW4295530600WikidataQ114224246 ScholiaQ114224246MaRDI QIDQ2679685
Marc Van Barel, Thomas Mach, Lothar Reichel
Publication date: 23 January 2023
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.05740
Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical methods for integral transforms (65R10)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adaptive cross approximation for ill-posed problems
- Regularization matrices determined by matrix nearness problems
- Efficient numerical methods for non-local operators. \(\mathcal H^2\)-matrix compression, algorithms and analysis.
- Inverse problems for regularization matrices
- Simple square smoothing regularization operators
- Roundoff error analysis of the CholeskyQR2 algorithm
- A new zero-finder for Tikhonov regularization
- Solving a large dense linear system by adaptive cross approximation
- Error estimates for linear systems with applications to regularization
- Pseudo-skeleton approximations by matrices of maximal volume
- A theory of pseudoskeleton approximations
- Multi-parameter regularization techniques for ill-conditioned linear systems
- Adaptive low-rank approximation of collocation matrices
- Incomplete cross approximation in the mosaic-skeleton method
- Approximation of boundary element matrices
- Parameter determination for Tikhonov regularization problems in general form
- GCV for Tikhonov regularization by partial SVD
- A weighted pseudoinverse, generalized singular values, and constrained least squares problems
- A parallel GMRES version for general sparse matrices
- Old and new parameter choice rules for discrete ill-posed problems
- Generalized singular value decomposition with iterated Tikhonov regularization
- Rescaling the GSVD with application to ill-posed problems
- Simplified GSVD computations for the solution of linear discrete ill-posed problems
- A simplified L-curve method as error estimator
- On the choice of subspace for large-scale Tikhonov regularization problems in general form
- IR tools: a MATLAB package of iterative regularization methods and large-scale test problems
- Regularization tools version \(4.0\) for matlab \(7.3\)
- Improvement of the resolution of an instrument by numerical solution of an integral equation
- Orthogonal projection regularization operators
- Accelerating Galerkin BEM for linear elasticity using adaptive cross approximation
- The Use of Auto-correlation for Pseudo-rank Determination in Noisy III-conditioned Linear Least-squares Problems
- The numerical solution of non-singular linear integral equations