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 2021-11-01 to 2025-11-01.)

Article	Citations
Hierarchical adaptive low‐rank format with applications to discretized partial differential equations	27
Rank‐structured approximation of some Cauchy matrices with sublinear complexity	20
Inexact inner–outer Golub–Kahan bidiagonalization method: A relaxation strategy	18
Improved TriCG and TriMR Methods for Symmetric Quasi‐Definite Linear Systems	18
Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity	17
Convergence of the block Lanczos method for the trust‐region subproblem in the hard case	17
Issue Information	15
Stabilized Krylov Subspace Recurrences via Randomized Sketching	14
Structure‐Preserving Model Reduction Approach for Structured Index‐2 Descriptor‐Systems	13
Dynamically accelerating the power iteration with momentum	13
On the efficient preconditioning of the Stokes equations in tight geometries	11
A fast and accurate algorithm for solving linear systems associated with a class of negative matrix	9
Volume‐based subset selection	9
Issue Information	9
Optimal polynomial smoothers for multigrid V‐cycles	9
Total positivity and accurate computations with Gram matrices of Said‐Ball bases	8
Normalized Newton method to solve generalized tensor eigenvalue problems	8
Two‐step Ulm–Chebyshev‐like method for inverse singular value problems	8
A Bernoulli‐Barycentric Rational Matrix Collocation Method With Preconditioning for a Class of Evolutionary PDEs	8
Dual Perturbation Method for Spectral Solution of Block‐Posed Harmonic Problems	7
A Rational Arnoldi Approach for Sobolev Rational Least Squares Problems	7
A New Matrix Truncation Method for Improving Approximate Factorization Preconditioners	7
Sine transform based preconditioning techniques for space fractional diffusion equations	7
Fast and stable modification of the Gauss–Newton method for low‐rank signal estimation	7
Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank	6

Numerical algorithm for estimating a conditioned symmetric positive definite matrix under constraints	6
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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
Robust Low‐Rank Tensor Recovery Using a Self‐Adaptive Learnable Weighted Tensor Total Variation Method	6
Adaptive Factored Incomplete Inverse Matrices	6
Subspace method for multiparameter‐eigenvalue problems based on tensor‐train representations	6
Issue Information	5
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Fast iterative solver for the optimal control of time‐dependent PDEs with Crank–Nicolson discretization in time	5
A unified rational Krylov method for elliptic and parabolic fractional diffusion problems	5
Signal and image reconstruction with a double parameter Hager–Zhang‐type conjugate gradient method for system of nonlinear equations	5
Conditioning of hybrid variational data assimilation	5
CP decomposition for tensors via alternating least squares with QR decomposition	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
Randomized Orthogonalization Process With Reorthogonalization	5
Study and Use of Spectral Symbol Properties for Isogeometric Matrices on Trimmed Geometries	5
Low‐order preconditioning of the Stokes equations	5
Solution methods to the nearest rotation matrix problem in ℝ3: A comparative survey	5
Issue Information	5
Weighted relaxation for multigrid reduction in time	4
Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications	4
Structured Nuclear Norm Matrix Completion: Guaranteeing Exact Recovery via Block‐Column Scaling	4
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Nonlinear approximation of functions based on nonnegative least squares solver	4
Blockwise acceleration of alternating least squares for canonical tensor decomposition	4
Lower and upper bounds of condition number for Vandermonde‐wise matrices and method of fundamental solutions using pseudo radial‐lines	4
Multilevel Additive Schwarz Preconditioners for High‐Order Block Implicit Methods for Parabolic Equations	4
Accelerated schemes of compact difference methods for space‐fractional sine‐Gordon equations with distributed delay	4
A sampling greedy average regularized Kaczmarz method for tensor recovery	4
Practical alternating least squares for tensor ring decomposition	4
Robust tensor recovery via a nonconvex approach with ket augmentation and auto‐weighted strategy	3
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Memory‐efficient compression of ????ℋ²‐matrices for high‐frequency Helmholtz problems	3
Nonnegative canonical tensor decomposition with linear constraints: nnCANDELINC	3
Three adaptive hybrid derivative‐free projection methods for constrained monotone nonlinear equations and their applications	3
Investigating the Numerical Determination of the Field of Values via Taylor Approximation	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
Reverse Quantile‐RK and Its Application to Quantile‐RK	3
Error bounds for the approximation of matrix functions with rational Krylov methods	3
Issue Information	3
	3
Low‐rank updates of matrix square roots	3
Issue Information	3
Issue Information	3
Quasi‐Newton variable preconditioning for nonlinear elasticity systems in 3D	3
Accelerating alternating least squares for tensor decomposition by pairwise perturbation	3
Practical sketching‐based randomized tensor ring decomposition	3

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