Found 75 Documents (Results 1–75)
A preconditioned Krylov subspace method for linear inverse problems with general-form Tikhonov regularization. (English) Zbl 07899182
Hybrid projection methods for solution decomposition in large-scale Bayesian inverse problems. (English) Zbl 1537.65038
Deflation for the off-diagonal block in symmetric saddle point systems. (English) Zbl 1531.65049
Reviewer: Steven B. Damelin (Ann Arbor)
Inexact inner-outer Golub-Kahan bidiagonalization method: a relaxation strategy. (English) Zbl 07790610
A majorization-minimization Golub-Kahan bidiagonalization method for \(\ell_2-\ell_q\) mimimization with applications in image restorization. (English) Zbl 1511.94013
The global Golub-Kahan method and Gauss quadrature for tensor function approximation. (English) Zbl 07644382
MSC:
65-XX
Error estimates for Golub-Kahan bidiagonalization with Tikhonov regularization for ill-posed operator equations. (English) Zbl 1538.65137
Kryging: geostatistical analysis of large-scale datasets using Krylov subspace methods. (English) Zbl 1496.62017
Tensor Krylov subspace methods via the Einstein product with applications to image and video processing. (English) Zbl 1497.65083
Weighted tensor Golub-Kahan-Tikhonov-type methods applied to image processing using a t-product. (English) Zbl 1497.65071
Discrete cosine transform LSQR methods for multidimensional ill-posed problems. (English) Zbl 1499.65137
Direct implementation of Tikhonov regularization for the first kind integral equation. (English) Zbl 1499.65749
The tensor Golub-Kahan-Tikhonov method applied to the solution of ill-posed problems with a t-product structure. (English) Zbl 07511593
RBF approximation of three dimensional PDEs using tensor Krylov subspace methods. (English) Zbl 1521.65116
On the block Lanczos and block Golub-Kahan reduction methods applied to discrete ill-posed problems. (English) Zbl 07478608
Golub-Kahan vs. Monte Carlo: a comparison of bidiagonlization and a randomized SVD method for the solution of linear discrete ill-posed problems. (English) Zbl 1490.65066
Hybrid projection methods for large-scale inverse problems with mixed Gaussian priors. (English) Zbl 1464.65038
The low rank approximations and Ritz values in LSQR for linear discrete ill-posed problem. (English) Zbl 07371359
Efficient Krylov subspace methods for uncertainty quantification in large Bayesian linear inverse problems. (English) Zbl 1538.65087
Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications. (English) Zbl 1483.65069
Simple stopping criteria for the LSQR method applied to discrete ill-posed problems. (English) Zbl 1462.65040
An extended block Golub-Kahan algorithm for large algebraic and differential matrix Riccati equations. (English) Zbl 1439.65052
Thick restarting the weighted harmonic Golub-Kahan-Lanczos algorithm for the linear response eigenvalue problem. (English) Zbl 1431.65049
Solution methods for linear discrete ill-posed problems for color image restoration. (English) Zbl 1402.65031
BIT 58, No. 3, 555-576 (2018); correction ibid. 58, No. 3, 577-578 (2018).
Reviewer: Constantin Popa (Constanţa)
Efficient generalized Golub-Kahan based methods for dynamic inverse problems. (English) Zbl 1385.65034
MSC:
65F22
Generalized hybrid iterative methods for large-scale Bayesian inverse problems. (English) Zbl 1422.65065
On the computation of a truncated SVD of a large linear discrete ill-posed problem. (English) Zbl 1368.65063
Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems. (English) Zbl 1365.65102
Iterative solution of symmetric quasi-definite linear systems. (English) Zbl 1409.65004
SIAM Spotlights 3. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-472-0/pbk; 978-1-61197-473-7/ebook). 95 p. (2017).
Reviewer: Constantin Popa (Constanţa)
Hybrid and iteratively reweighted regularization by unbiased predictive risk and weighted GCV for projected systems. (English) Zbl 1360.65115
GCV for Tikhonov regularization via global Golub-Kahan decomposition. (English) Zbl 1374.65064
Reviewer: Robert Plato (Siegen)
Numerical equivalences among Krylov subspace algorithms for skew-symmetric matrices. (English) Zbl 1347.65062
On the choice of solution subspace for nonstationary iterated Tikhonov regularization. (English) Zbl 1350.65034
Reviewer: Constantin Popa (Constanţa)
On the Lanczos and Golub-Kahan reduction methods applied to discrete ill-posed problems. (English) Zbl 1413.65120
Sampling method based projection approach for the reconstruction of 3D acoustically penetrable scatterers. (English) Zbl 1333.65124
Band generalization of the Golub-Kahan bidiagonalization, generalized Jacobi matrices, and the core problem. (English) Zbl 1320.65057
A comparison between the complex symmetric based and classical computation of the singular value decomposition of normal matrices. (English) Zbl 1298.65069
MSC:
65F20
Third-order tensors as operators on matrices: a theoretical and computational framework with applications in imaging. (English) Zbl 1269.65044
Reorthogonalization for the Golub-Kahan-Lanczos bidiagonal reduction. (English) Zbl 1272.65034
Reviewer: Adhemar Bultheel (Leuven)
On a generalization of Regińska’s parameter choice rule and its numerical realization in large-scale multi-parameter Tikhonov regularization. (English) Zbl 1293.65061
Alternating Krylov subspace image restoration methods. (English) Zbl 1251.65091
Reviewer: Werner H. Schmidt (Greifswald)
An iterative method for Tikhonov regularization with a general linear regularization operator. (English) Zbl 1210.65092
Reviewer: Adhemar Bultheel (Leuven)
An efficient iterative approach for large-scale separable nonlinear inverse problems. (English) Zbl 1205.65160
GKB-FP: An algorithm for large-scale discrete ill-posed problems. (English) Zbl 1207.65039
Reviewer: Raffaella Pavani (Milano)
MSC:
65F20
The regularizing effect of the Golub-Kahan iterative bidiagonalization and revealing the noise level in the data. (English) Zbl 1184.65044
Trust-region and other regularisations of linear least-squares problems. (English) Zbl 1165.65019
Reviewer: Constantin Popa (Constanţa)
Computation of exact inertia and inclusions of eigenvalues (singular values) of tridiagonal (bidiagonal) matrices. (English) Zbl 1118.65024
Reviewer: Georg Hebermehl (Berlin)
On symmetric eigenproblems induced by the bidiagonal SVD. (English) Zbl 1080.65026
Reviewer: Oleksandr Kukush (Kyïv)
Computing the SVD of a general matrix product/quotient. (English) Zbl 0969.65032
Reviewer: Horst Hollatz (Magdeburg)
Computing projections with LSQR. (English) Zbl 0870.65032
Reviewer: F.Szidarovszky (Tucson)
MSC:
65F20
Solution of sparse rectangular systems using LSQR and Craig. (English) Zbl 0844.65029
Reviewer: N.Köckler (Paderborn)
Analysis of a QR algorithm for computing singular values. (English) Zbl 0827.65040
Reviewer: F.Uhlig (Auburn)
An adaptive singular value decomposition algorithm and its application to adaptive realization. (English) Zbl 0556.65026
Analysis and optimization of systems, Proc. 6th int. Conf., Nice 1984, Part 2, Lect. Notes Control Inf. Sci. 63, 32-47 (1984).
Reviewer: L.Elsner
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