Vector extrapolation enhanced TSVD for linear discrete ill-posed problems
DOI10.1007/s11075-008-9229-0zbMath1167.65019OpenAlexW2084066242MaRDI QIDQ1027779
Hassane Sadok, Khalide Jbilou, Lothar Reichel
Publication date: 30 June 2009
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-008-9229-0
numerical exampleslinear ill-posed problemsill-posed problemtruncated singular value decompositionextrapolation methodstruncation criterionvector extrapolation
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22)
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Cites Work
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- Error estimates for linear systems with applications to regularization
- Convergence and stability analyses for some vector extrapolation methods in the presence of defective iteration matrices
- Extrapolation vs. projection methods for linear systems of equations
- Recursive algorithms for vector extrapolation methods
- Some results about vector extrapolation methods and related fixed-point iterations
- Extrapolation methods theory and practice
- Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme
- Convergence acceleration for the iterative solution of the equations X = AX + f
- Extrapolation techniques for ill-conditioned linear systems
- Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
- Analysis of some vector extrapolation methods for solving systems of linear equations
- Vector extrapolation methods. Applications and numerical comparison
- Remarks on choosing a regularization parameter using the quasi-optimality and ratio criterion
- Acceleration of Convergence of Vector Sequences
- Convergence and Stability Properties of Minimal Polynomial and Reduced Rank Extrapolation Algorithms
- Extrapolation Methods for Vector Sequences
- Acceleration of the convergence of iterative processes and a method of solving systems of non-linear equations
- The Use of Auto-correlation for Pseudo-rank Determination in Noisy III-conditioned Linear Least-squares Problems
- A Polynomial Extrapolation Method for Finding Limits and Antilimits of Vector Sequences
- LU implementation of the modified minimal polynomial extrapolation method for solving linear and nonlinear systems
- Calculating the Singular Values and Pseudo-Inverse of a Matrix
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