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 2021-09-01 to 2025-09-01.)

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	19
Dynamically accelerating the power iteration with momentum	17
Stabilized Krylov Subspace Recurrences via Randomized Sketching	17
Issue Information	17
Structure‐Preserving Model Reduction Approach for Structured Index‐2 Descriptor‐Systems	16
Hierarchical adaptive low‐rank format with applications to discretized partial differential equations	14
Improved TriCG and TriMR Methods for Symmetric Quasi‐Definite Linear Systems	14
Rank‐structured approximation of some Cauchy matrices with sublinear complexity	14
Optimal polynomial smoothers for multigrid V‐cycles	13
A fast and accurate algorithm for solving linear systems associated with a class of negative matrix	12
Volume‐based subset selection	12
On the efficient preconditioning of the Stokes equations in tight geometries	9
Issue Information	8
Sine transform based preconditioning techniques for space fractional diffusion equations	8
Two‐step Ulm–Chebyshev‐like method for inverse singular value problems	8
Total positivity and accurate computations with Gram matrices of Said‐Ball bases	8
A Bernoulli‐Barycentric Rational Matrix Collocation Method With Preconditioning for a Class of Evolutionary PDEs	8
Normalized Newton method to solve generalized tensor eigenvalue problems	8
Randomized low‐rank approximation of parameter‐dependent matrices	7
Fast and stable modification of the Gauss–Newton method for low‐rank signal estimation	7
Numerical algorithm for estimating a conditioned symmetric positive definite matrix under constraints	7
A New Matrix Truncation Method for Improving Approximate Factorization Preconditioners	7
Dual Perturbation Method for Spectral Solution of Block‐Posed Harmonic Problems	6

Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank	6
Adaptive Factored Incomplete Inverse Matrices	6
Fast Solution of Sylvester‐Structured Systems for Spatial Source Separation of the Cosmic Microwave Background	6
A Rational Arnoldi Approach for Sobolev Rational Least Squares Problems	6
On adapting Nesterov's scheme to accelerate iterative methods for linear problems	5
Study and Use of Spectral Symbol Properties for Isogeometric Matrices on Trimmed Geometries	5
Estimating and increasing the structural robustness of a network	5
Issue Information	5
Low‐order preconditioning of the Stokes equations	5
Robust Low‐Rank Tensor Recovery Using a Self‐Adaptive Learnable Weighted Tensor Total Variation Method	5
Subspace method for multiparameter‐eigenvalue problems based on tensor‐train representations	5
Selectable Set Randomized Kaczmarz	5
Solution methods to the nearest rotation matrix problem in ℝ3: A comparative survey	5
Matrix‐less methods for the spectral approximation of large non‐Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study	5
Fast iterative solver for the optimal control of time‐dependent PDEs with Crank–Nicolson discretization in time	5
Conditioning of hybrid variational data assimilation	5
CP decomposition for tensors via alternating least squares with QR decomposition	5
A unified rational Krylov method for elliptic and parabolic fractional diffusion problems	5
	5
	5
Randomized Orthogonalization Process With Reorthogonalization	4
Blockwise acceleration of alternating least squares for canonical tensor decomposition	4
Practical alternating least squares for tensor ring decomposition	4
Issue Information	4
Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications	4
Signal and image reconstruction with a double parameter Hager–Zhang‐type conjugate gradient method for system of nonlinear equations	4
Nonlinear approximation of functions based on nonnegative least squares solver	4
Weighted relaxation for multigrid reduction in time	4
Three adaptive hybrid derivative‐free projection methods for constrained monotone nonlinear equations and their applications	4
A sampling greedy average regularized Kaczmarz method for tensor recovery	4
	4
Accelerated schemes of compact difference methods for space‐fractional sine‐Gordon equations with distributed delay	4
Multilevel Additive Schwarz Preconditioners for High‐Order Block Implicit Methods for Parabolic Equations	4
Lower and upper bounds of condition number for Vandermonde‐wise matrices and method of fundamental solutions using pseudo radial‐lines	4
	3
Structured Nuclear Norm Matrix Completion: Guaranteeing Exact Recovery via Block‐Column Scaling	3
Computing f‐divergences and distances of high‐dimensional probability density functions	3
	3
Robust tensor recovery via a nonconvex approach with ket augmentation and auto‐weighted strategy	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
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
Flexible subspace iteration with moments for an effective contour integration‐based eigensolver	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
	3
Issue Information	3

A Semi‐Randomized and Augmented Kaczmarz Method With Simple Random Sampling for Large‐Scale Inconsistent Linear Systems	3
Issue Information	3
Reverse Quantile‐RK and Its Application to Quantile‐RK	3
Error bounds for the approximation of matrix functions with rational Krylov methods	3
Low‐rank updates of matrix square roots	3
	2
Computing the completely positive factorization via alternating minimization	2
	2
Multilevel‐in‐width training for deep neural network regression	2
Backward error analysis of specified eigenpairs for sparse matrix polynomials	2
Shifted LOPBiCG: A locally orthogonal product‐type method for solving nonsymmetric shifted linear systems based on Bi‐CGSTAB	2
	2
Optimal Preconditioners for Nonsymmetric Multilevel Toeplitz Systems With Application to Solving Nonlocal Evolutionary Partial Differential Equations	2
Inverse Eigenvalue Difference Problems for Quantum Dots	2
QZ algorithm with two‐sided generalized Rayleigh quotient shifts	2
Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material	2
A Riemannian Rank‐Adaptive Method for Higher‐Order Tensor Completion in the Tensor‐Train Format	2
A two‐step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations	2
	2
Issue Information	2
Fast randomized tensor singular value thresholding for low‐rank tensor optimization	2
Generalizing reduction‐based algebraic multigrid	2
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver	2
High Relative Accuracy With Collocation Matrices of q$$ q $$‐Jacobi Polynomials	2
	2
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
Leveraging the Hankel norm approximation and data‐driven algorithms in reduced order modeling	1
Hierarchical‐matrix method for a class of diffusion‐dominated partial integro‐differential equations	1
Fast solution of three‐dimensional elliptic equations with randomly generated jumping coefficients by using tensor‐structured preconditioners	1
An Algebraic Multilevel Schur Complement Preconditioner Based on Eigenvalue Deflation	1
A conforming auxiliary space preconditioner for the mass conserving stress‐yielding method	1
On estimation of the optimal parameter of the modulus‐based matrix splitting algorithm for linear complementarity problems on second‐order cones	1
	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
Greedy Motzkin–Kaczmarz methods for solving linear systems	1
Angle‐Free Cluster‐Robust Ritz Value Bounds for Restarted Block Eigensolvers	1
	1
Data‐driven linear complexity low‐rank approximation of general kernel matrices: A geometric approach	1
Issue Information	1
A parameterized extended shift‐splitting preconditioner for nonsymmetric saddle point problems	1
Issue Information	1
Structure preserving quaternion full orthogonalization method with applications	1
QR algorithm with two‐sided Rayleigh quotient shifts	1
The tensor Golub–Kahan–Tikhonov method applied to the solution of ill‐posed problems with a t‐product structure	1
	1
Algebra preconditionings for 2D Riesz distributed‐order space‐fractional diffusion equations on convex domains	1
Preconditioned discontinuous Galerkin method and convection‐diffusion‐reaction problems with guaranteed bounds to resulting spectra	1
Issue Information	1
A closed‐form multigrid smoothing factor for an additive Vanka‐type smoother applied to the Poisson equation	1
The nearest graph Laplacian in Frobenius norm	1
On rank‐revealing QR factorizations of quaternion matrices	1
Enhanced algebraic substructuring for symmetric generalized eigenvalue problems	1
Anderson acceleration with approximate calculations: Applications to scientific computing	1
Editorial: Tensor numerical methods and their application in scientific computing and data science	1
Multi‐view side information‐incorporated tensor completion	1
Preconditioners for fractional diffusion equations based on the spectral symbol	1
Nonconvex optimization for third‐order tensor completion under wavelet transform	1
Trace Ratio Based Manifold Learning With Tensor Data	1
Matrices associated to two conservative discretizations of Riesz fractional operators and related multigrid solvers	1
Stage‐parallel preconditioners for implicit Runge–Kutta methods of arbitrarily high order, linear problems	1
Noisy Non‐Negative Tucker Decomposition With Sparse Factors and Missing Data	1
Computation of generalized inverses of tensors via t‐product	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