Tikhonov Regularization and Randomized GSVD
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Publication:2813331
DOI10.1137/15M1030200zbMath1339.65057OpenAlexW2405515784MaRDI QIDQ2813331
Peng-Peng Xie, Li-Ping Zhang, Yi-Min Wei
Publication date: 23 June 2016
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1030200
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Uses Software
Cites Work
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- Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
- Projected Tikhonov regularization of large-scale discrete ill-posed problems
- A randomized algorithm for the decomposition of matrices
- The discrete Picard condition for discrete ill-posed problems
- A fast randomized algorithm for the approximation of matrices
- The truncated SVD as a method for regularization
- On the regularization of projection methods for solving ill-posed problems
- Tikhonov regularization and the L-curve for large discrete ill-posed problems
- Regularization, GSVD and truncated GSVD
- A weighted pseudoinverse, generalized singular values, and constrained least squares problems
- Generalized inverses. Theory and applications.
- Rescaling the GSVD with application to ill-posed problems
- Simplified GSVD computations for the solution of linear discrete ill-posed problems
- A randomized method for solving discrete ill-posed problems
- AIR tools -- a MATLAB package of algebraic iterative reconstruction methods
- Effective condition number for finite difference method
- Regularization tools version \(4.0\) for matlab \(7.3\)
- Regularization with randomized SVD for large-scale discrete inverse problems
- LSRN: A Parallel Iterative Solver for Strongly Over- or Underdetermined Systems
- Ill-conditioning of the truncated singular value decomposition, Tikhonov regularization and their applications to numerical partial differential equations
- Computational Advertising: Techniques for Targeting Relevant Ads
- A fast randomized algorithm for overdetermined linear least-squares regression
- A Fast Randomized Algorithm for Orthogonal Projection
- Randomized Algorithms for Matrices and Data
- Blendenpik: Supercharging LAPACK's Least-Squares Solver
- Deblurring Images
- Randomized algorithms for large-scale inverse problems with general Tikhonov regularizations
- Perturbation bounds for discrete Tikhonov regularisation
- Computing Truncated Singular Value Decomposition Least Squares Solutions by Rank Revealing QR-Factorizations
- Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
- Towards a Generalized Singular Value Decomposition
- The Modified Truncated SVD Method for Regularization in General Form
- Improved Error Bounds for Underdetermined System Solvers
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- Computational Methods for Inverse Problems
- Discrete Inverse Problems
- Oblique projections and standard‐form transformations for discrete inverse problems
- Perturbation theory for pseudo-inverses
- Randomized algorithms for generalized Hermitian eigenvalue problems with application to computing Karhunen–Loève expansion
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