Numerical Linear Algebra With Applications

Papers
(The median citation count of Numerical Linear Algebra With Applications is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-05-01 to 2025-05-01.)
ArticleCitations
Characterization of the dissipative mappings and their application to perturbations of dissipative‐Hamiltonian systems22
Inexact inner–outer Golub–Kahan bidiagonalization method: A relaxation strategy21
Dynamically accelerating the power iteration with momentum16
Convergence of the block Lanczos method for the trust‐region subproblem in the hard case16
Hierarchical adaptive low‐rank format with applications to discretized partial differential equations16
Rank‐structured approximation of some Cauchy matrices with sublinear complexity14
Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity14
Issue Information12
Volume‐based subset selection11
Structure‐Preserving Model Reduction Approach for Structured Index‐2 Descriptor‐Systems11
Optimal polynomial smoothers for multigrid V‐cycles11
A fast and accurate algorithm for solving linear systems associated with a class of negative matrix11
On the efficient preconditioning of the Stokes equations in tight geometries10
Two‐step Ulm–Chebyshev‐like method for inverse singular value problems9
Sine transform based preconditioning techniques for space fractional diffusion equations9
Total positivity and accurate computations with Gram matrices of Said‐Ball bases8
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Normalized Newton method to solve generalized tensor eigenvalue problems7
A New Matrix Truncation Method for Improving Approximate Factorization Preconditioners7
A Bernoulli‐Barycentric Rational Matrix Collocation Method With Preconditioning for a Class of Evolutionary PDEs7
Block low‐rank single precision coarse grid solvers for extreme scale multigrid methods6
All‐at‐once solution of linear wave equations6
Dual Perturbation Method for Spectral Solution of Block‐Posed Harmonic Problems6
Numerical algorithm for estimating a conditioned symmetric positive definite matrix under constraints6
Adaptive Factored Incomplete Inverse Matrices6
Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank5
Robust Low‐Rank Tensor Recovery Using a Self‐Adaptive Learnable Weighted Tensor Total Variation Method5
Randomized low‐rank approximation of parameter‐dependent matrices5
A Rational Arnoldi Approach for Sobolev Rational Least Squares Problems5
Fast Solution of Sylvester‐Structured Systems for Spatial Source Separation of the Cosmic Microwave Background5
Fast and stable modification of the Gauss–Newton method for low‐rank signal estimation5
ODE‐based double‐preconditioning for solving linear systems Aαx=b and f(A)x=b5
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Signal and image reconstruction with a double parameter Hager–Zhang‐type conjugate gradient method for system of nonlinear equations4
Matrix‐less methods for the spectral approximation of large non‐Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study4
On adapting Nesterov's scheme to accelerate iterative methods for linear problems4
Conditioning of hybrid variational data assimilation4
Subspace method for multiparameter‐eigenvalue problems based on tensor‐train representations4
A unified rational Krylov method for elliptic and parabolic fractional diffusion problems4
Estimating and increasing the structural robustness of a network4
Low‐order preconditioning of the Stokes equations4
Fast iterative solver for the optimal control of time‐dependent PDEs with Crank–Nicolson discretization in time4
Solution methods to the nearest rotation matrix problem in ℝ3: A comparative survey4
Selectable Set Randomized Kaczmarz4
Nonlinear approximation of functions based on nonnegative least squares solver4
CP decomposition for tensors via alternating least squares with QR decomposition4
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Study and Use of Spectral Symbol Properties for Isogeometric Matrices on Trimmed Geometries4
Accelerated schemes of compact difference methods for space‐fractional sine‐Gordon equations with distributed delay3
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Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications3
Three adaptive hybrid derivative‐free projection methods for constrained monotone nonlinear equations and their applications3
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Weighted relaxation for multigrid reduction in time3
A sampling greedy average regularized Kaczmarz method for tensor recovery3
Multilevel Additive Schwarz Preconditioners for High‐Order Block Implicit Methods for Parabolic Equations3
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Accelerating alternating least squares for tensor decomposition by pairwise perturbation3
Low‐rank updates of matrix square roots3
Practical alternating least squares for tensor ring decomposition3
Blockwise acceleration of alternating least squares for canonical tensor decomposition3
Lower and upper bounds of condition number for Vandermonde‐wise matrices and method of fundamental solutions using pseudo radial‐lines3
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Multilevel space‐time multiplicative Schwarz preconditioner for parabolic equations3
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Flexible subspace iteration with moments for an effective contour integration‐based eigensolver2
Practical sketching‐based randomized tensor ring decomposition2
Nonnegative canonical tensor decomposition with linear constraints: nnCANDELINC2
A Semi‐Randomized and Augmented Kaczmarz Method With Simple Random Sampling for Large‐Scale Inconsistent Linear Systems2
High Relative Accuracy With Collocation Matrices of q$$ q $$‐Jacobi Polynomials2
A two‐step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations2
Shifted LOPBiCG: A locally orthogonal product‐type method for solving nonsymmetric shifted linear systems based on Bi‐CGSTAB2
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Error bounds for the approximation of matrix functions with rational Krylov methods2
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HILUCSI: Simple, robust, and fast multilevel ILU for large‐scale saddle‐point problems from PDEs2
Quasi‐Newton variable preconditioning for nonlinear elasticity systems in 3D2
A Riemannian Rank‐Adaptive Method for Higher‐Order Tensor Completion in the Tensor‐Train Format2
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Computing f‐divergences and distances of high‐dimensional probability density functions2
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Memory‐efficient compression of ????ℋ2‐matrices for high‐frequency Helmholtz problems2
An iterative algorithm for low‐rank tensor completion problem with sparse noise and missing values2
Robust tensor recovery via a nonconvex approach with ket augmentation and auto‐weighted strategy2
Backward error analysis of specified eigenpairs for sparse matrix polynomials1
A closed‐form multigrid smoothing factor for an additive Vanka‐type smoother applied to the Poisson equation1
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver1
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Constructing the field of values of decomposable and general matrices using the ZNN based path following method1
Generalizing reduction‐based algebraic multigrid1
Greedy Motzkin–Kaczmarz methods for solving linear systems1
QR algorithm with two‐sided Rayleigh quotient shifts1
Data‐driven linear complexity low‐rank approximation of general kernel matrices: A geometric approach1
Bringing physics into the coarse‐grid selection: Approximate diffusion distance/effective resistance measures for network analysis and algebraic multigrid for graph Laplacians and systems of elliptic 1
Continuation methods for nonnegative rank‐1 approximation of nonnegative tensors1
Nonconvex optimization for third‐order tensor completion under wavelet transform1
Efficient algorithms for computing rank‐revealing factorizations on a GPU1
A Vanka‐based parameter‐robust multigrid relaxation for the Stokes–Darcy Brinkman problems1
A Family of Inertial Three‐Term CGPMs for Large‐Scale Nonlinear Pseudo‐Monotone Equations With Convex Constraints1
Preconditioned discontinuous Galerkin method and convection‐diffusion‐reaction problems with guaranteed bounds to resulting spectra1
QZ algorithm with two‐sided generalized Rayleigh quotient shifts1
Multilevel‐in‐width training for deep neural network regression1
Robust tensor train component analysis1
Computing the completely positive factorization via alternating minimization1
Computation of generalized inverses of tensors via t‐product1
The tensor Golub–Kahan–Tikhonov method applied to the solution of ill‐posed problems with a t‐product structure1
Matrices associated to two conservative discretizations of Riesz fractional operators and related multigrid solvers1
An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices1
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Anderson acceleration with approximate calculations: Applications to scientific computing1
The nearest graph Laplacian in Frobenius norm1
Noisy Non‐Negative Tucker Decomposition With Sparse Factors and Missing Data1
On rank‐revealing QR factorizations of quaternion matrices1
Algebra preconditionings for 2D Riesz distributed‐order space‐fractional diffusion equations on convex domains1
Fast randomized tensor singular value thresholding for low‐rank tensor optimization1
Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material1
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Computing low‐rank approximations of the Fréchet derivative of a matrix function using Krylov subspace methods1
Stage‐parallel preconditioners for implicit Runge–Kutta methods of arbitrarily high order, linear problems1
Editorial1
Angle‐Free Cluster‐Robust Ritz Value Bounds for Restarted Block Eigensolvers1
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On the matrices in B‐spline collocation methods for Riesz fractional equations and their spectral properties1
The generalized residual cutting method and its convergence characteristics1
Enhanced algebraic substructuring for symmetric generalized eigenvalue problems1
A conforming auxiliary space preconditioner for the mass conserving stress‐yielding method1
Streaming First‐Order Optimization Methods With Momentum for Dominant Eigenspace Estimation0
A parameterized extended shift‐splitting preconditioner for nonsymmetric saddle point problems0
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Impact of correlated observation errors on the conditioning of variational data assimilation problems0
Editorial: Tensor numerical methods and their application in scientific computing and data science0
Randomized Algorithms for Multilinear UTV Decomposition0
Probabilistic perturbation bounds of matrix decompositions0
Fast solution of three‐dimensional elliptic equations with randomly generated jumping coefficients by using tensor‐structured preconditioners0
Preconditioned weighted full orthogonalization method for solving singular linear systems from PageRank problems0
A family of inertial‐based derivative‐free projection methods with a correction step for constrained nonlinear equations and their applications0
Low‐Rank Tensor Completion via Tensor Joint Rank With Logarithmic Composite Norm0
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A flexible block classical Gram–Schmidt skeleton with reorthogonalization0
Total positivity and high relative accuracy for several classes of Hankel matrices0
Least squares regression principal component analysis: A supervised dimensionality reduction method0
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Multigrid Reduction‐In‐Time Convergence for Advection Problems: A Fourier Analysis Perspective0
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The tropical scaling for the polynomial eigenvalue problem solved by a contour integral method0
Multi‐view side information‐incorporated tensor completion0
Riemannian Conjugate Gradient Algorithms for Solving λ$$ \boldsymbol{\lambda} $$‐Approximation of Stochastic Tensors and Applications0
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Anderson acceleration of the modulus‐based matrix splitting algorithms for horizontal nonlinear complementarity systems0
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Anderson accelerated fixed‐point iteration for multilinear PageRank0
Mixed precisions‐step Lanczos and conjugate gradient algorithms0
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Tensor method for optimal control problems constrained by fractional three‐dimensional elliptic operator with variable coefficients0
High relative accuracy with some special matrices related to Γ and β functions0
Symmetric tensor decomposition by alternating gradient descent0
New bounds on the condition number of the Hessian of the preconditioned variational data assimilation problem0
Tensor completion using geodesics on Segre manifolds0
Superlinear Krylov convergence under streamline diffusion FEM for convection‐dominated elliptic operators0
An extension of fast iterative shrinkage‐thresholding algorithm to Riemannian optimization for sparse principal component analysis0
Toward efficient polynomial preconditioning for GMRES0
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Tensor rank bounds and explicit QTT representations for the inverses of circulant matrices0
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Efficient space‐time adaptivity for parabolic evolution equations using wavelets in time and finite elements in space0
Mass‐lumping discretization and solvers for distributed elliptic optimal control problems0
Multistage mixed precision iterative refinement0
Dynamical low‐rank approximations of solutions to the Hamilton–Jacobi–Bellman equation0
An Improved Two‐Step Method for Inverse Eigenvalue Problems0
Accelerated derivative‐free method for nonlinear monotone equations with an application0
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Least angle regression, relaxed lasso, and elastic net for algebraic multigrid of systems of elliptic partial differential equations0
A tensor bidiagonalization method for higher‐order singular value decomposition with applications0
Leveraging the Hankel norm approximation and data‐driven algorithms in reduced order modeling0
Preconditioned tensor format conjugate gradient squared and biconjugate gradient stabilized methods for solving stein tensor equations0
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Spectral analysis of the finite element matrices approximating 2D linearly elastic structures and multigrid proposals0
Structure preserving quaternion full orthogonalization method with applications0
Convergence analysis of a block preconditioned steepest descent eigensolver with implicit deflation0
An improved descent Perry‐type algorithm for large‐scale unconstrained nonconvex problems and applications to image restoration problems0
A split preconditioning scheme for nonlinear underdetermined least squares problems0
On estimation of the optimal parameter of the modulus‐based matrix splitting algorithm for linear complementarity problems on second‐order cones0
Double‐Tucker Decomposition and Its Computations0
Structured matrix recovery from matrix‐vector products0
Inexact rational Krylov subspace method for eigenvalue problems0
Efficient Acceleration Framework for Complex‐Valued Linear Systems: Alternating Anderson Accelerating Preconditioned Richardson Approach0
The Lawson‐Hanson algorithm with deviation maximization: Finite convergence and sparse recovery0
Some preconditioning techniques for a class of double saddle point problems0
An Exact and Approximate Schur Complement Method for Time‐Harmonic Optimal Control Problems0
The Sherman–Morrison–Woodbury formula for generalized linear matrix equations and applications0
Computing eigenvalues of quasi‐rational Bernstein–Vandermonde matrices to high relative accuracy0
A continuation method for computing the multilinear PageRank0
A Novel Fourth‐Order Scheme for Two‐Dimensional Riesz Space Fractional Nonlinear Reaction‐Diffusion Equations and Its Optimal Preconditioned Solver0
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Sub‐sampled adaptive trust region method on Riemannian manifolds0
Factorization of completely positive matrices using iterative projected gradient steps0
Gradient based iterative methods for solving symmetric tensor equations0
Double saddle‐point preconditioning for Krylov methods in the inexact sequential homotopy method0
Low‐rank tensor completion with sparse regularization in a transformed domain0
Convergence analysis of vector extended locally optimal block preconditioned extended conjugate gradient method for computing extreme eigenvalues0
Smoothed aggregation for difficult stretched mesh and coefficient variation problems0
Recovering orthogonal tensors under arbitrarily strong, but locally correlated, noise0
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Extended Two‐Step Ulm‐Chebyshev‐Like Method for Inverse Singular Value Problems With Multiple And/Or Zero Singular Values0
On the Nearest Kronecker Product Problem Under Orthonormal Constraints0
An IRK‐QCD Scheme for the Space Fractional Diffusion Equation and Block‐Lower‐Triangle Preconditioners for the Corresponding Linear Systems0
Preconditioners for fractional diffusion equations based on the spectral symbol0
Sketch‐and‐project methods for tensor linear systems0
Independence of placement for local Fourier analysis0
Preconditioning Techniques for Generalized Sylvester Matrix Equations0
Two‐sided Rayleigh quotient iteration for periodic eigenvalue problems0
An Algebraic Multilevel Schur Complement Preconditioner Based on Eigenvalue Deflation0
A Novel Riemannian Conjugate Gradient Method on Quaternion Stiefel Manifold for Computing Truncated Quaternion Singular Value Decomposition0
Adaptive Parallelizable Algorithms for Interpolative Decompositions via Partially Pivoted LU0
Nonoverlapping block smoothers for the Stokes equations0
The analytic connectivity in uniform hypergraphs: Properties and computation0
Gl‐QFOM and Gl‐QGMRES: Two Efficient Algorithms for Quaternion Linear Systems With Multiple Right‐Hand Sides0
Correction to “Low‐Rank Tensor Completion via Tensor Joint Rank With Logarithmic Composite Norm”0
Trace Ratio Based Manifold Learning With Tensor Data0
Low Tucker rank tensor completion using a symmetric block coordinate descent method0
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High‐order multigrid strategies for hybrid high‐order discretizations of elliptic equations0
Nonnegative low multi‐rank third‐order tensor approximation via transformation0
A new deflation criterion for the QZ algorithm0
Local convergence of alternating low‐rank optimization methods with overrelaxation0
Hierarchical‐matrix method for a class of diffusion‐dominated partial integro‐differential equations0
Efficient Solution of Sequences of Parametrized Lyapunov Equations With Applications0
A class of block alternating splitting implicit iteration methods for double saddle point linear systems0
Krylov Subspace Based FISTA‐Type Methods for Linear Discrete Ill‐Posed Problems0
On the Polyak momentum variants of the greedy deterministic single and multiple row‐action methods0
On the evaluation of general sparse hybrid linear solvers0
Sketched and Truncated Polynomial Krylov Methods: Evaluation of Matrix Functions0
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Why diffusion‐based preconditioning of Richards equation works: Spectral analysis and computational experiments at very large scale0
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Solving a class of infinite‐dimensional tensor eigenvalue problems by translational invariant tensor ring approximations0
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Spectral partitioning of large and sparse 3‐tensors using low‐rank tensor approximation0
Quaternion Tensor Completion via QR Decomposition and Nuclear Norm Minimization0
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On finding strong approximate inverses for tensors0
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