DOI10.1137/10079687XzbMath1232.65052arXiv1006.0758OpenAlexW1983886273MaRDI QIDQ3116469
Michael A. Saunders, David Chin-Lung Fong
Publication date: 23 February 2012
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.0758
Regularization properties of Krylov iterative solvers CGME and LSMR for linear discrete ill-posed problems with an application to truncated randomized SVDs,
A Schur complement approach to preconditioning sparse linear least-squares problems with some dense rows,
A stabilized GMRES method for singular and severely ill-conditioned systems of linear equations,
A Hybrid LSMR Algorithm for Large-Scale Tikhonov Regularization,
GMRES methods for tomographic reconstruction with an unmatched back projector,
Hierarchical orthogonal factorization: sparse least squares problems,
A Computational Study of Using Black-box QR Solvers for Large-scale Sparse-dense Linear Least Squares Problems,
Semi-Infinite Linear Regression and Its Applications,
A matching pursuit approach to solenoidal filtering of three-dimensional velocity measurements,
SPMR: A Family of Saddle-Point Minimum Residual Solvers,
The attenuated geodesic x-ray transform,
Noise representation in residuals of LSQR, LSMR, and CRAIG regularization,
An augmented LSQR method,
Discrete vector calculus and Helmholtz Hodge decomposition for classical finite difference summation by parts operators,
A variational discrete element method for the computation of Cosserat elasticity,
A new implementation of LSMR algorithm for the quaternionic least squares problem,
Simple backward error bounds for linear least-squares problems,
Weighted conjugate gradient-type methods for solving quadrature discretization of Fredholm integral equations of the first kind,
LSMB: Minimizing the Backward Error for Least-Squares Problems,
Fitting multiple Bell curves stably and accurately to a time series as applied to Hubbert cycles or other phenomena,
PLSS: A Projected Linear Systems Solver,
An alternative method for SPP with full rank (2,1)-block matrix and nonzero right-hand side vector,
On Using Cholesky-Based Factorizations and Regularization for Solving Rank-Deficient Sparse Linear Least-Squares Problems,
A block preconditioner for the Gl-LSMR algorithm,
Space‐local reduced‐order bases for accelerating reduced‐order models through sparsity,
Properties of semi-conjugate gradient methods for solving unsymmetric positive definite linear systems,
Solving Mixed Sparse-Dense Linear Least-Squares Problems by Preconditioned Iterative Methods,
Matrix-Free Convex Optimization Modeling,
Alternating cyclic vector extrapolation technique for accelerating nonlinear optimization algorithms and fixed-point mapping applications,
Preconditioners for Krylov subspace methods: An overview,
Estimating the backward error for the least-squares problem with multiple right-hand sides,
Dual-loop iterative optimal control for the finite horizon LQR problem with unknown dynamics,
Quantifying the structural stability of simplicial homology,
Random Walks on Simplicial Complexes and the Normalized Hodge 1-Laplacian,
An evaluation of linear and non-linear models of expressive dynamics in classical piano and symphonic music,
Regularization properties of LSQR for linear discrete ill-posed problems in the multiple singular value case and best, near best and general low rank approximations,
Hybrid and Iteratively Reweighted Regularization by Unbiased Predictive Risk and Weighted GCV for Projected Systems,
Preconditioning and Iterative Solution of All-at-Once Systems for Evolutionary Partial Differential Equations,
Generalized Hybrid Iterative Methods for Large-Scale Bayesian Inverse Problems,
Goal-Oriented Optimal Approximations of Bayesian Linear Inverse Problems,
Optimization methods for regularization-based ill-posed problems: a survey and a multi-objective framework,
An ALE pairwise-relaxing meshless method for compressible flows,
A collaborative neighbor representation based face recognition algorithm,
An inner–outer iterative method for edge preservation in image restoration and reconstruction *,
Sharp 2-Norm Error Bounds for LSQR and the Conjugate Gradient Method,
The AZ Algorithm for Least Squares Systems with a Known Incomplete Generalized Inverse,
A Regularized Factorization-Free Method for Equality-Constrained Optimization,
Block conjugate gradient algorithms for least squares problems,
A pairwise-relaxing incompressible smoothed particle hydrodynamics scheme,
Unnamed Item,
Iterative algorithms for least-squares solutions of a quaternion matrix equation,
Vector extrapolation based Landweber method for discrete ill-posed problems,
Two new efficient iterative regularization methods for image restoration problems,
Flexible GMRES for total variation regularization,
A flow perspective on nonlinear least-squares problems,
A penalty method for PDE-constrained optimization in inverse problems,
Structure in loss of orthogonality,
A new iterative model updating technique based on least squares minimal residual method using measured modal data,
Error bounds for computed least squares estimators,
A robust algorithm for semidefinite programming,
Proximal Distance Algorithms: Theory and Examples,
Accuracy of the Lanczos Process for the Eigenproblem and Solution of Equations,
Global least squares methods based on tensor form to solve a class of generalized Sylvester tensor equations,
Incremental Regularized Least Squares for Dimensionality Reduction of Large-Scale Data,
Preconditioners for rank deficient least squares problems,
Projection Method for Eigenvalue Problems of Linear Nonsquare Matrix Pencils,
Numerical Equivalences among Krylov Subspace Algorithms for Skew-Symmetric Matrices,
Approximation accuracy of the Krylov subspaces for linear discrete ill-posed problems,
LSMR,
Testing Matrix Function Algorithms Using Identities,
The Conjugate Residual Method in Linesearch and Trust-Region Methods,
LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations,
Flexible Krylov Methods for $\ell_p$ Regularization,
A Tridiagonalization Method for Symmetric Saddle-Point Systems,
Algorithm 937,
LSLQ: An Iterative Method for Linear Least-Squares with an Error Minimization Property,
<scp>TriCG</scp> and <scp>TriMR</scp>: Two Iterative Methods for Symmetric Quasi-definite Systems,
Convergence of Inner-Iteration GMRES Methods for Rank-Deficient Least Squares Problems,
LSMR iterative method for general coupled matrix equations,
A Framework for Regularization via Operator Approximation,
An Active-Set Method for Quadratic Programming Based On Sequential Hot-Starts,
A Block Bidiagonalization Method for Fixed-Accuracy Low-Rank Matrix Approximation,
Large-Scale Optimization with Linear Equality Constraints Using Reduced Compact Representation,
A least squares approach for saddle point problems,
Approximate Generalized Inverses with Iterative Refinement for $\epsilon$-Accurate Preconditioning of Singular Systems,
Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization,
Global LSMR(Gl-LSMR) method for solving general linear systems with several right-hand sides