OOIR: Observatory of International Research

Papers

(The median citation count of Numerical Linear Algebra With Applications is 1. 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 2021-08-01 to 2025-08-01.)

Article	Citations
Inexact inner–outer Golub–Kahan bidiagonalization method: A relaxation strategy	23
Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity	22
Convergence of the block Lanczos method for the trust‐region subproblem in the hard case	18
Stabilized Krylov Subspace Recurrences via Randomized Sketching	17
Issue Information	17
Dynamically accelerating the power iteration with momentum	16
Structure‐Preserving Model Reduction Approach for Structured Index‐2 Descriptor‐Systems	15
Improved TriCG and TriMR Methods for Symmetric Quasi‐Definite Linear Systems	14
Rank‐structured approximation of some Cauchy matrices with sublinear complexity	14
Hierarchical adaptive low‐rank format with applications to discretized partial differential equations	14
A fast and accurate algorithm for solving linear systems associated with a class of negative matrix	13
On the efficient preconditioning of the Stokes equations in tight geometries	12
Optimal polynomial smoothers for multigrid V‐cycles	12
Volume‐based subset selection	9
A Bernoulli‐Barycentric Rational Matrix Collocation Method With Preconditioning for a Class of Evolutionary PDEs	8
Two‐step Ulm–Chebyshev‐like method for inverse singular value problems	8
Normalized Newton method to solve generalized tensor eigenvalue problems	8
Issue Information	8
A New Matrix Truncation Method for Improving Approximate Factorization Preconditioners	7
Adaptive Factored Incomplete Inverse Matrices	7
A Rational Arnoldi Approach for Sobolev Rational Least Squares Problems	7
Dual Perturbation Method for Spectral Solution of Block‐Posed Harmonic Problems	7
Total positivity and accurate computations with Gram matrices of Said‐Ball bases	7
Sine transform based preconditioning techniques for space fractional diffusion equations	7
Robust Low‐Rank Tensor Recovery Using a Self‐Adaptive Learnable Weighted Tensor Total Variation Method	6

Fast and stable modification of the Gauss–Newton method for low‐rank signal estimation	6
Numerical algorithm for estimating a conditioned symmetric positive definite matrix under constraints	6
Block low‐rank single precision coarse grid solvers for extreme scale multigrid methods	6
Fast Solution of Sylvester‐Structured Systems for Spatial Source Separation of the Cosmic Microwave Background	6
Randomized low‐rank approximation of parameter‐dependent matrices	6
On adapting Nesterov's scheme to accelerate iterative methods for linear problems	5
Low‐order preconditioning of the Stokes equations	5
Fast iterative solver for the optimal control of time‐dependent PDEs with Crank–Nicolson discretization in time	5
Study and Use of Spectral Symbol Properties for Isogeometric Matrices on Trimmed Geometries	5
CP decomposition for tensors via alternating least squares with QR decomposition	5
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Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank	5
Conditioning of hybrid variational data assimilation	5
Estimating and increasing the structural robustness of a network	5
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Subspace method for multiparameter‐eigenvalue problems based on tensor‐train representations	5
Matrix‐less methods for the spectral approximation of large non‐Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study	5
Selectable Set Randomized Kaczmarz	5
A unified rational Krylov method for elliptic and parabolic fractional diffusion problems	4
Issue Information	4
Nonlinear approximation of functions based on nonnegative least squares solver	4
Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications	4
Issue Information	4
Solution methods to the nearest rotation matrix problem in ℝ3: A comparative survey	4
Randomized Orthogonalization Process With Reorthogonalization	4
Accelerated schemes of compact difference methods for space‐fractional sine‐Gordon equations with distributed delay	4
Practical alternating least squares for tensor ring decomposition	4
Three adaptive hybrid derivative‐free projection methods for constrained monotone nonlinear equations and their applications	4
Blockwise acceleration of alternating least squares for canonical tensor decomposition	4
Signal and image reconstruction with a double parameter Hager–Zhang‐type conjugate gradient method for system of nonlinear equations	4
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Multilevel Additive Schwarz Preconditioners for High‐Order Block Implicit Methods for Parabolic Equations	4
Weighted relaxation for multigrid reduction in time	4
A sampling greedy average regularized Kaczmarz method for tensor recovery	4
Computing f‐divergences and distances of high‐dimensional probability density functions	3
Error bounds for the approximation of matrix functions with rational Krylov methods	3
Lower and upper bounds of condition number for Vandermonde‐wise matrices and method of fundamental solutions using pseudo radial‐lines	3
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Low‐rank updates of matrix square roots	3
Reverse Quantile‐RK and Its Application to Quantile‐RK	3
Flexible subspace iteration with moments for an effective contour integration‐based eigensolver	3
A Semi‐Randomized and Augmented Kaczmarz Method With Simple Random Sampling for Large‐Scale Inconsistent Linear Systems	3
Accelerating alternating least squares for tensor decomposition by pairwise perturbation	3
Memory‐efficient compression of ????ℋ²‐matrices for high‐frequency Helmholtz problems	3
Practical sketching‐based randomized tensor ring decomposition	3
Issue Information	3
Robust tensor recovery via a nonconvex approach with ket augmentation and auto‐weighted strategy	3
Issue Information	3
Nonnegative canonical tensor decomposition with linear constraints: nnCANDELINC	3
An iterative algorithm for low‐rank tensor completion problem with sparse noise and missing values	3

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Smoothed Moreau‐Yosida Tensor‐Train Approximation of State‐Constrained Optimization Problems Under Uncertainty	3
Quasi‐Newton variable preconditioning for nonlinear elasticity systems in 3D	3
Issue Information	3
	2
Generalizing reduction‐based algebraic multigrid	2
A Riemannian Rank‐Adaptive Method for Higher‐Order Tensor Completion in the Tensor‐Train Format	2
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver	2
A two‐step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations	2
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Issue Information	2
Fast randomized tensor singular value thresholding for low‐rank tensor optimization	2
Multilevel‐in‐width training for deep neural network regression	2
High Relative Accuracy With Collocation Matrices of q$$ q $$‐Jacobi Polynomials	2
Backward error analysis of specified eigenpairs for sparse matrix polynomials	2
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Computing the completely positive factorization via alternating minimization	2
Inverse Eigenvalue Difference Problems for Quantum Dots	2
QZ algorithm with two‐sided generalized Rayleigh quotient shifts	2
Optimal Preconditioners for Nonsymmetric Multilevel Toeplitz Systems With Application to Solving Nonlocal Evolutionary Partial Differential Equations	2
Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material	2
Shifted LOPBiCG: A locally orthogonal product‐type method for solving nonsymmetric shifted linear systems based on Bi‐CGSTAB	2
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Nonconvex optimization for third‐order tensor completion under wavelet transform	1
Greedy Motzkin–Kaczmarz methods for solving linear systems	1
	1
On estimation of the optimal parameter of the modulus‐based matrix splitting algorithm for linear complementarity problems on second‐order cones	1
A Vanka‐based parameter‐robust multigrid relaxation for the Stokes–Darcy Brinkman problems	1
Editorial	1
Constructing the field of values of decomposable and general matrices using the ZNN based path following method	1
Anderson acceleration with approximate calculations: Applications to scientific computing	1
Angle‐Free Cluster‐Robust Ritz Value Bounds for Restarted Block Eigensolvers	1
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Stage‐parallel preconditioners for implicit Runge–Kutta methods of arbitrarily high order, linear problems	1
QR algorithm with two‐sided Rayleigh quotient shifts	1
Editorial: Tensor numerical methods and their application in scientific computing and data science	1
Optimal Polynomial Smoothers and One‐Sided V‐Cycles for Poisson Problems	1
Data‐driven linear complexity low‐rank approximation of general kernel matrices: A geometric approach	1
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The tensor Golub–Kahan–Tikhonov method applied to the solution of ill‐posed problems with a t‐product structure	1
An Algebraic Multilevel Schur Complement Preconditioner Based on Eigenvalue Deflation	1
Algebra preconditionings for 2D Riesz distributed‐order space‐fractional diffusion equations on convex domains	1
Preconditioners for fractional diffusion equations based on the spectral symbol	1
Preconditioned discontinuous Galerkin method and convection‐diffusion‐reaction problems with guaranteed bounds to resulting spectra	1
Issue Information	1
Computation of generalized inverses of tensors via t‐product	1
Trace Ratio Based Manifold Learning With Tensor Data	1
The nearest graph Laplacian in Frobenius norm	1
On rank‐revealing QR factorizations of quaternion matrices	1
A closed‐form multigrid smoothing factor for an additive Vanka‐type smoother applied to the Poisson equation	1
An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices	1
Hierarchical‐matrix method for a class of diffusion‐dominated partial integro‐differential equations	1
Multi‐view side information‐incorporated tensor completion	1
A conforming auxiliary space preconditioner for the mass conserving stress‐yielding method	1
Issue Information	1
Matrices associated to two conservative discretizations of Riesz fractional operators and related multigrid solvers	1
Structure preserving quaternion full orthogonalization method with applications	1
Noisy Non‐Negative Tucker Decomposition With Sparse Factors and Missing Data	1
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Enhanced algebraic substructuring for symmetric generalized eigenvalue problems	1
The generalized residual cutting method and its convergence characteristics	1
On the matrices in B‐spline collocation methods for Riesz fractional equations and their spectral properties	1
Efficient algorithms for computing rank‐revealing factorizations on a GPU	1
A Family of Inertial Three‐Term CGPMs for Large‐Scale Nonlinear Pseudo‐Monotone Equations With Convex Constraints	1
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
An Improved Two‐Step Method for Inverse Eigenvalue Problems	1
Issue Information	1
Fast solution of three‐dimensional elliptic equations with randomly generated jumping coefficients by using tensor‐structured preconditioners	1