Numerical Linear Algebra With Applications

Article	Citations
A unified rational Krylov method for elliptic and parabolic fractional diffusion problems	19
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The Lawson‐Hanson algorithm with deviation maximization: Finite convergence and sparse recovery	17
Backward error analysis of specified eigenpairs for sparse matrix polynomials	16
Structure‐Preserving Model Reduction Approach for Structured Index‐2 Descriptor‐Systems	15
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Inexact inner–outer Golub–Kahan bidiagonalization method: A relaxation strategy	11
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Two‐sided Rayleigh quotient iteration for periodic eigenvalue problems	11
Characterization of the dissipative mappings and their application to perturbations of dissipative‐Hamiltonian systems	11
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Convergence of the block Lanczos method for the trust‐region subproblem in the hard case	9
Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity	8
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Selectable Set Randomized Kaczmarz	8
Robust tensor train component analysis	8
Rank‐structured approximation of some Cauchy matrices with sublinear complexity	7
Nonoverlapping block smoothers for the Stokes equations	7
Tensor method for optimal control problems constrained by fractional three‐dimensional elliptic operator with variable coefficients	6
Multi‐view side information‐incorporated tensor completion	6
Fast solution of three‐dimensional elliptic equations with randomly generated jumping coefficients by using tensor‐structured preconditioners	6
Solution methods to the nearest rotation matrix problem in ℝ3: A comparative survey	5
Accurate and efficient computations with Wronskian matrices of Bernstein and related bases	5
A continuation method for computing the multilinear PageRank	5

Estimating and increasing the structural robustness of a network	5
Signal and image reconstruction with a double parameter Hager–Zhang‐type conjugate gradient method for system of nonlinear equations	5
A class of block alternating splitting implicit iteration methods for double saddle point linear systems	5
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Nonlinear approximation of functions based on nonnegative least squares solver	4
Dynamically accelerating the power iteration with momentum	4
Efficient Solution of Sequences of Parametrized Lyapunov Equations With Applications	4
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High‐order multigrid strategies for hybrid high‐order discretizations of elliptic equations	4
A parameterized extended shift‐splitting preconditioner for nonsymmetric saddle point problems	4
Computing the completely positive factorization via alternating minimization	4
Hierarchical adaptive low‐rank format with applications to discretized partial differential equations	4
Riemannian Conjugate Gradient Algorithms for Solving λ$$ \boldsymbol{\lambda} $$‐Approximation of Stochastic Tensors and Applications	4
A class of improved conjugate gradient methods for nonconvex unconstrained optimization	4
Volume‐based subset selection	4
Weighted relaxation for multigrid reduction in time	4
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TTRISK: Tensor train decomposition algorithm for risk averse optimization	4
Independence of placement for local Fourier analysis	4
Generalizing reduction‐based algebraic multigrid	4
Smoothed aggregation for difficult stretched mesh and coefficient variation problems	3
Optimal polynomial smoothers for multigrid V‐cycles	3
A fast and accurate algorithm for solving linear systems associated with a class of negative matrix	3
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Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications	3
On the efficient preconditioning of the Stokes equations in tight geometries	3
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver	3
Convergence analysis of a block preconditioned steepest descent eigensolver with implicit deflation	3
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Multilevel‐in‐width training for deep neural network regression	3
Editorial: Tensor numerical methods and their application in scientific computing and data science	3
Blockwise acceleration of alternating least squares for canonical tensor decomposition	2
Computing eigenvalues of quasi‐rational Bernstein–Vandermonde matrices to high relative accuracy	2
Anderson accelerated fixed‐point iteration for multilinear PageRank	2
Leveraging the Hankel norm approximation and data‐driven algorithms in reduced order modeling	2
Double saddle‐point preconditioning for Krylov methods in the inexact sequential homotopy method	2
Practical alternating least squares for tensor ring decomposition	2
Accelerated schemes of compact difference methods for space‐fractional sine‐Gordon equations with distributed delay	2
The analytic connectivity in uniform hypergraphs: Properties and computation	2
Factorization of completely positive matrices using iterative projected gradient steps	2
A Bernoulli‐Barycentric Rational Matrix Collocation Method With Preconditioning for a Class of Evolutionary PDEs	2
Mixed precisions‐step Lanczos and conjugate gradient algorithms	2
Multilevel Additive Schwarz Preconditioners for High‐Order Block Implicit Methods for Parabolic Equations	2
Hierarchical‐matrix method for a class of diffusion‐dominated partial integro‐differential equations	2
On rank‐revealing QR factorizations of quaternion matrices	2
Two‐sided guaranteed bounds to individual eigenvalues of preconditioned finite element and finite difference problems	2
QZ algorithm with two‐sided generalized Rayleigh quotient shifts	2
A Family of Inertial Three‐Term CGPMs for Large‐Scale Nonlinear Pseudo‐Monotone Equations With Convex Constraints	2
An efficient algorithm for solving the nonnegative tensor least squares problem	2
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Enhanced algebraic substructuring for symmetric generalized eigenvalue problems	2
A flexible block classical Gram–Schmidt skeleton with reorthogonalization	2
Fast randomized tensor singular value thresholding for low‐rank tensor optimization	2
Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material	2
Superlinear Krylov convergence under streamline diffusion FEM for convection‐dominated elliptic operators	2
An Improved Two‐Step Method for Inverse Eigenvalue Problems	2
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A sampling greedy average regularized Kaczmarz method for tensor recovery	2
Lower and upper bounds of condition number for Vandermonde‐wise matrices and method of fundamental solutions using pseudo radial‐lines	2
Why diffusion‐based preconditioning of Richards equation works: Spectral analysis and computational experiments at very large scale	1
The nearest graph Laplacian in Frobenius norm	1
Symmetric tensor decomposition by alternating gradient descent	1
Krylov Subspace Based FISTA‐Type Methods for Linear Discrete Ill‐Posed Problems	1
A new deflation criterion for the QZ algorithm	1
Total positivity and accurate computations with Gram matrices of Said‐Ball bases	1
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Anderson acceleration of the modulus‐based matrix splitting algorithms for horizontal nonlinear complementarity systems	1
Constructing the field of values of decomposable and general matrices using the ZNN based path following method	1
Low‐rank tensor completion with sparse regularization in a transformed domain	1
A closed‐form multigrid smoothing factor for an additive Vanka‐type smoother applied to the Poisson equation	1
Efficient space‐time adaptivity for parabolic evolution equations using wavelets in time and finite elements in space	1
A New Matrix Truncation Method for Improving Approximate Factorization Preconditioners	1
Normalized Newton method to solve generalized tensor eigenvalue problems	1
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Least angle regression, relaxed lasso, and elastic net for algebraic multigrid of systems of elliptic partial differential equations	1
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Numerical solution of singular Lyapunov equations	1
Efficient algorithms for computing rank‐revealing factorizations on a GPU	1
Preconditioned weighted full orthogonalization method for solving singular linear systems from PageRank problems	1
On the matrices in B‐spline collocation methods for Riesz fractional equations and their spectral properties	1
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A Novel Riemannian Conjugate Gradient Method on Quaternion Stiefel Manifold for Computing Truncated Quaternion Singular Value Decomposition	1
Angle‐Free Cluster‐Robust Ritz Value Bounds for Restarted Block Eigensolvers	1
An Exact and Approximate Schur Complement Method for Time‐Harmonic Optimal Control Problems	1
Accelerated derivative‐free method for nonlinear monotone equations with an application	1
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Three adaptive hybrid derivative‐free projection methods for constrained monotone nonlinear equations and their applications	1
Computation of generalized inverses of tensors via t‐product	1
Computing low‐rank approximations of the Fréchet derivative of a matrix function using Krylov subspace methods	1
Low‐rank updates of matrix square roots	1
On the evaluation of general sparse hybrid linear solvers	1
High relative accuracy with matrices of q‐integers	1
Randomized Algorithms for Multilinear UTV Decomposition	1
Two‐step Ulm–Chebyshev‐like method for inverse singular value problems	1
Sine transform based preconditioning techniques for space fractional diffusion equations	1
Continuation methods for nonnegative rank‐1 approximation of nonnegative tensors	1
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An extension of fast iterative shrinkage‐thresholding algorithm to Riemannian optimization for sparse principal component analysis	1
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Adaptive Parallelizable Algorithms for Interpolative Decompositions via Partially Pivoted LU	0
All‐at‐once solution of linear wave equations	0
Fast and stable modification of the Gauss–Newton method for low‐rank signal estimation	0
Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank	0
Recovering orthogonal tensors under arbitrarily strong, but locally correlated, noise	0
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Numerical methods for rectangular multiparameter eigenvalue problems, with applications to finding optimal ARMA and LTI models	0
Nonnegative canonical tensor decomposition with linear constraints: nnCANDELINC	0
Conditioning of hybrid variational data assimilation	0
Flexible subspace iteration with moments for an effective contour integration‐based eigensolver	0
Impact of correlated observation errors on the conditioning of variational data assimilation problems	0
CP decomposition for tensors via alternating least squares with QR decomposition	0
Efficient Acceleration Framework for Complex‐Valued Linear Systems: Alternating Anderson Accelerating Preconditioned Richardson Approach	0
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Mass‐lumping discretization and solvers for distributed elliptic optimal control problems	0
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A Vanka‐based parameter‐robust multigrid relaxation for the Stokes–Darcy Brinkman problems	0
The tropical scaling for the polynomial eigenvalue problem solved by a contour integral method	0
Correction to “Low‐Rank Tensor Completion via Tensor Joint Rank With Logarithmic Composite Norm”	0
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Computation of Outer Inverse of Tensors Based on t‐Product	0
Low‐order preconditioning of the Stokes equations	0
Preconditioners for fractional diffusion equations based on the spectral symbol	0
Computing f‐divergences and distances of high‐dimensional probability density functions	0
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Error bounds for the approximation of matrix functions with rational Krylov methods	0
High Relative Accuracy With Collocation Matrices of q$$ q $$‐Jacobi Polynomials	0
The tensor Golub–Kahan–Tikhonov method applied to the solution of ill‐posed problems with a t‐product structure	0
A rational‐Chebyshev projection method for nonlinear eigenvalue problems	0
Accelerating alternating least squares for tensor decomposition by pairwise perturbation	0

A Riemannian Rank‐Adaptive Method for Higher‐Order Tensor Completion in the Tensor‐Train Format	0
The generalized residual cutting method and its convergence characteristics	0
Least squares regression principal component analysis: A supervised dimensionality reduction method	0
Preconditioned tensor format conjugate gradient squared and biconjugate gradient stabilized methods for solving stein tensor equations	0
Graph Regularized Sparse L2,1 Semi‐Nonnegative Matrix Factorization for Data Reduction	0
On the Nearest Kronecker Product Problem Under Orthonormal Constraints	0
Stage‐parallel preconditioners for implicit Runge–Kutta methods of arbitrarily high order, linear problems	0
A tensor bidiagonalization method for higher‐order singular value decomposition with applications	0
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Memory‐efficient compression of ????ℋ2‐matrices for high‐frequency Helmholtz problems	0
Multigrid Reduction‐In‐Time Convergence for Advection Problems: A Fourier Analysis Perspective	0
A conforming auxiliary space preconditioner for the mass conserving stress‐yielding method	0
Gl‐QFOM and Gl‐QGMRES: Two Efficient Algorithms for Quaternion Linear Systems With Multiple Right‐Hand Sides	0
On finding strong approximate inverses for tensors	0
Robust Low‐Rank Tensor Recovery Using a Self‐Adaptive Learnable Weighted Tensor Total Variation Method	0
Robust tensor recovery via a nonconvex approach with ket augmentation and auto‐weighted strategy	0
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A split preconditioning scheme for nonlinear underdetermined least squares problems	0
A Newton‐type method for two‐dimensional eigenvalue problems	0
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Shifted LOPBiCG: A locally orthogonal product‐type method for solving nonsymmetric shifted linear systems based on Bi‐CGSTAB	0
Low Tucker rank tensor completion using a symmetric block coordinate descent method	0
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Local convergence of alternating low‐rank optimization methods with overrelaxation	0
Adaptive Factored Incomplete Inverse Matrices	0
Inexact rational Krylov subspace method for eigenvalue problems	0
Spectral analysis of the finite element matrices approximating 2D linearly elastic structures and multigrid proposals	0
Anderson acceleration with approximate calculations: Applications to scientific computing	0
Nonconvex optimization for third‐order tensor completion under wavelet transform	0
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Structure preserving quaternion full orthogonalization method with applications	0
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Greedy Motzkin–Kaczmarz methods for solving linear systems	0
An iterative algorithm for low‐rank tensor completion problem with sparse noise and missing values	0
Subspace method for multiparameter‐eigenvalue problems based on tensor‐train representations	0
Fast iterative solver for the optimal control of time‐dependent PDEs with Crank–Nicolson discretization in time	0
High relative accuracy with some special matrices related to Γ and β functions	0
A Semi‐Randomized and Augmented Kaczmarz Method With Simple Random Sampling for Large‐Scale Inconsistent Linear Systems	0
Numerical algorithm for estimating a conditioned symmetric positive definite matrix under constraints	0
Total positivity and least squares problems in the Lagrange basis	0
Analysis of optimal preconditioners for CutFEM	0
On estimation of the optimal parameter of the modulus‐based matrix splitting algorithm for linear complementarity problems on second‐order cones	0
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Convergence acceleration of preconditioned conjugate gradient solver based on error vector sampling for a sequence of linear systems	0
An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices	0
QR algorithm with two‐sided Rayleigh quotient shifts	0
Multilevel space‐time multiplicative Schwarz preconditioner for parabolic equations	0
HILUCSI: Simple, robust, and fast multilevel ILU for large‐scale saddle‐point problems from PDEs	0
An IRK‐QCD Scheme for the Space Fractional Diffusion Equation and Block‐Lower‐Triangle Preconditioners for the Corresponding Linear Systems	0
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Structured matrix recovery from matrix‐vector products	0
Matrices associated to two conservative discretizations of Riesz fractional operators and related multigrid solvers	0
Solving a class of infinite‐dimensional tensor eigenvalue problems by translational invariant tensor ring approximations	0
Total positivity and high relative accuracy for several classes of Hankel matrices	0
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An improved descent Perry‐type algorithm for large‐scale unconstrained nonconvex problems and applications to image restoration problems	0
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Streaming First‐Order Optimization Methods With Momentum for Dominant Eigenspace Estimation	0
A two‐step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations	0
Tensor completion using geodesics on Segre manifolds	0
Preconditioners for robust optimal control problems under uncertainty	0
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Quasi‐Newton variable preconditioning for nonlinear elasticity systems in 3D	0
Multistage mixed precision iterative refinement	0
A Rayleigh quotient‐gradient neural network method for computing ????‐eigenpairs of general tensors	0
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Toward efficient polynomial preconditioning for GMRES	0
On adapting Nesterov's scheme to accelerate iterative methods for linear problems	0
Low‐Rank Tensor Completion via Tensor Joint Rank With Logarithmic Composite Norm	0
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Convergence analysis of vector extended locally optimal block preconditioned extended conjugate gradient method for computing extreme eigenvalues	0
Tensor train completion: Local recovery guarantees via Riemannian optimization	0
Matrix‐less methods for the spectral approximation of large non‐Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study	0
Probabilistic perturbation bounds of matrix decompositions	0
On the Polyak momentum variants of the greedy deterministic single and multiple row‐action methods	0
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Sub‐sampled adaptive trust region method on Riemannian manifolds	0
Trace Ratio Based Manifold Learning With Tensor Data	0
Quaternion Tensor Completion via QR Decomposition and Nuclear Norm Minimization	0
Nonnegative low multi‐rank third‐order tensor approximation via transformation	0
Gradient based iterative methods for solving symmetric tensor equations	0
Double‐Tucker Decomposition and Its Computations	0
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Block low‐rank single precision coarse grid solvers for extreme scale multigrid methods	0
Study and Use of Spectral Symbol Properties for Isogeometric Matrices on Trimmed Geometries	0
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The Sherman–Morrison–Woodbury formula for generalized linear matrix equations and applications	0
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Randomized low‐rank approximation of parameter‐dependent matrices	0
Editorial	0
Spectral partitioning of large and sparse 3‐tensors using low‐rank tensor approximation	0