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 2022-06-01 to 2026-06-01.)

Article	Citations
Rank‐structured approximation of some Cauchy matrices with sublinear complexity	41
Inexact inner–outer Golub–Kahan bidiagonalization method: A relaxation strategy	20
Issue Information	19
Convergence of the block Lanczos method for the trust‐region subproblem in the hard case	19
Structure‐Preserving Model Reduction Approach for Structured Index‐2 Descriptor‐Systems	15
Improved TriCG and TriMR Methods for Symmetric Quasi‐Definite Linear Systems	12
Dynamically accelerating the power iteration with momentum	12
	11
Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity	10
Refined Error Bounds for Relaxed Greedy Randomized Kaczmarz Methods	10
	10
Stabilized Krylov Subspace Recurrences via Randomized Sketching	10
Robust Quaternion Matrix Completion via Fast Randomized Low‐Rank Approximation	10
Hierarchical adaptive low‐rank format with applications to discretized partial differential equations	10
An Inertial‐Relaxed Newton‐Type Projection Method for Solving Nonlinear Equations With Applications	9
A fast and accurate algorithm for solving linear systems associated with a class of negative matrix	9
Accelerated Gradient Descent With Quasi‐Newton Preconditioning for Nearest Correlation Matrix Problems	9
Issue Information	8
Volume‐based subset selection	8
Optimal polynomial smoothers for multigrid V‐cycles	8
On the efficient preconditioning of the Stokes equations in tight geometries	8
Normalized Newton method to solve generalized tensor eigenvalue problems	7
A Bernoulli‐Barycentric Rational Matrix Collocation Method With Preconditioning for a Class of Evolutionary PDEs	7
Sine transform based preconditioning techniques for space fractional diffusion equations	7
Randomized Quaternion Generalized Singular Value Decomposition Algorithms With Error Analysis	7

Dual Perturbation Method for Spectral Solution of Block‐Posed Harmonic Problems	7
A Fast Iterative Method for Variable‐Order Time‐Fractional Optimal Control Problem	7
A New Matrix Truncation Method for Improving Approximate Factorization Preconditioners	7
Total positivity and accurate computations with Gram matrices of Said‐Ball bases	7
Numerical algorithm for estimating a conditioned symmetric positive definite matrix under constraints	6
Adaptive Factored Incomplete Inverse Matrices	6
A Riemannian Gradient Descent Method for Optimization on the Indefinite Stiefel Manifold	6
A Rational Arnoldi Approach for Sobolev Rational Least Squares Problems	6
Modified Greedy Quasi Block Coordinate Descent Method for Solving Linear Least‐Squares Problems	6
Randomized low‐rank approximation of parameter‐dependent matrices	6
Overlapping Schwarz Methods Are Not Anisotropy‐Robust Multigrid Smoothers	6
Fast Solution of Sylvester‐Structured Systems for Spatial Source Separation of the Cosmic Microwave Background	6
Issue Information	5
The Block Preconditioned SOR Method for Solving Indefinite Complex Linear Systems	5
Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank	5
Matrix‐less methods for the spectral approximation of large non‐Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study	5
Chebyshev Smoothing With Adaptive Block‐FSAI Preconditioners for the Multilevel Solution of Higher‐Order Problems With the Partition of Unity Method	5
Conditioning of hybrid variational data assimilation	5
Robust Low‐Rank Tensor Recovery Using a Self‐Adaptive Learnable Weighted Tensor Total Variation Method	5
Study and Use of Spectral Symbol Properties for Isogeometric Matrices on Trimmed Geometries	4
Randomized Orthogonalization Process With Reorthogonalization	4
Solution methods to the nearest rotation matrix problem in ℝ3: A comparative survey	4
Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications	4
CP decomposition for tensors via alternating least squares with QR decomposition	4
A unified rational Krylov method for elliptic and parabolic fractional diffusion problems	4
Signal and image reconstruction with a double parameter Hager–Zhang‐type conjugate gradient method for system of nonlinear equations	4
Multilevel Additive Schwarz Preconditioners for High‐Order Block Implicit Methods for Parabolic Equations	4
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Selectable Set Randomized Kaczmarz	4
Issue Information	4
	4
A Preconditioner for Solving Linear Programming Problems With Dense Columns	4
Nonlinear approximation of functions based on nonnegative least squares solver	3
Low‐Rank SPIKE Framework for Solving Large Sparse Linear Systems With Applications	3
Lower and upper bounds of condition number for Vandermonde‐wise matrices and method of fundamental solutions using pseudo radial‐lines	3
A τ Preconditioner for Options Pricing Problem Under Jump‐Diffusion Models	3
A sampling greedy average regularized Kaczmarz method for tensor recovery	3
Accelerated schemes of compact difference methods for space‐fractional sine‐Gordon equations with distributed delay	3
Practical alternating least squares for tensor ring decomposition	3
Structured Nuclear Norm Matrix Completion: Guaranteeing Exact Recovery via Block‐Column Scaling	3
Issue Information	3
Weighted relaxation for multigrid reduction in time	3
Blockwise acceleration of alternating least squares for canonical tensor decomposition	3
Low‐rank updates of matrix square roots	3
Convergence Analysis of an Alternating Nonlinear GMRES on Linear Systems	3
A Riemannian Rank‐Adaptive Method for Higher‐Order Tensor Completion in the Tensor‐Train Format	2
An iterative algorithm for low‐rank tensor completion problem with sparse noise and missing values	2
Toward Genuine Efficiency and Cluster Robustness of Preconditioned CG‐Like Eigensolvers	2
Memory‐efficient compression of ????ℋ²‐matrices for high‐frequency Helmholtz problems	2
Error bounds for the approximation of matrix functions with rational Krylov methods	2

Issue Information	2
Quasi‐Newton variable preconditioning for nonlinear elasticity systems in 3D	2
Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix	2
	2
Investigating the Numerical Determination of the Field of Values via Taylor Approximation	2
Practical sketching‐based randomized tensor ring decomposition	2
Three adaptive hybrid derivative‐free projection methods for constrained monotone nonlinear equations and their applications	2
An Extended Krylov Subspace Method for Decoding Edge‐Based Compressed Images by Homogeneous Diffusion	2
Convergence Analysis of an Aggregation‐Based Two‐Grid Method, With Applications to Linear Elasticity	2
A Semi‐Randomized and Augmented Kaczmarz Method With Simple Random Sampling for Large‐Scale Inconsistent Linear Systems	2
Reverse Quantile‐RK and Its Application to Quantile‐RK	2
Robust tensor recovery via a nonconvex approach with ket augmentation and auto‐weighted strategy	2
	2
	2
	2
Smoothed Moreau‐Yosida Tensor‐Train Approximation of State‐Constrained Optimization Problems Under Uncertainty	2
	2
	2
Issue Information	2
Computing f‐divergences and distances of high‐dimensional probability density functions	2
Issue Information	2
On rank‐revealing QR factorizations of quaternion matrices	1
The generalized residual cutting method and its convergence characteristics	1
QZ algorithm with two‐sided generalized Rayleigh quotient shifts	1
Anderson acceleration with approximate calculations: Applications to scientific computing	1
An Accelerated Spectral CG‐Type Projection Method With Restart Strategy for Nonlinear Monotone Equations and Applications in Compressed Sensing	1
A closed‐form multigrid smoothing factor for an additive Vanka‐type smoother applied to the Poisson equation	1
Backward error analysis of specified eigenpairs for sparse matrix polynomials	1
A conforming auxiliary space preconditioner for the mass conserving stress‐yielding method	1
Approximation of the Pseudospectral Abscissa via Eigenvalue Perturbation Theory	1
Noisy Non‐Negative Tucker Decomposition With Sparse Factors and Missing Data	1
High Relative Accuracy With Collocation Matrices of q$$ q $$‐Jacobi Polynomials	1
Space‐Time Block Preconditioning for Incompressible Resistive Magnetohydrodynamics	1
Angle‐Free Cluster‐Robust Ritz Value Bounds for Restarted Block Eigensolvers	1
On estimation of the optimal parameter of the modulus‐based matrix splitting algorithm for linear complementarity problems on second‐order cones	1
Multilevel‐in‐width training for deep neural network regression	1
Data‐driven linear complexity low‐rank approximation of general kernel matrices: A geometric approach	1
An Accelerated Newton‐GMRES Method for Multilinear PageRank	1
Editorial	1
A Family of Inertial Three‐Term CGPMs for Large‐Scale Nonlinear Pseudo‐Monotone Equations With Convex Constraints	1
Stage‐parallel preconditioners for implicit Runge–Kutta methods of arbitrarily high order, linear problems	1
The nearest graph Laplacian in Frobenius norm	1
Issue Information	1
A two‐step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations	1
Algebra preconditionings for 2D Riesz distributed‐order space‐fractional diffusion equations on convex domains	1
	1
Preconditioned discontinuous Galerkin method and convection‐diffusion‐reaction problems with guaranteed bounds to resulting spectra	1
Shifted LOPBiCG: A locally orthogonal product‐type method for solving nonsymmetric shifted linear systems based on Bi‐CGSTAB	1
	1
Enhanced algebraic substructuring for symmetric generalized eigenvalue problems	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
Generalizing reduction‐based algebraic multigrid	1
Constructing the field of values of decomposable and general matrices using the ZNN based path following method	1
Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material	1
Issue Information	1
Efficient algorithms for computing rank‐revealing factorizations on a GPU	1
Nonconvex optimization for third‐order tensor completion under wavelet transform	1
	1
On the matrices in B‐spline collocation methods for Riesz fractional equations and their spectral properties	1
Inverse Eigenvalue Difference Problems for Quantum Dots	1
Issue Information	1
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A Vanka‐based parameter‐robust multigrid relaxation for the Stokes–Darcy Brinkman problems	1
Optimal Preconditioners for Nonsymmetric Multilevel Toeplitz Systems With Application to Solving Nonlocal Evolutionary Partial Differential Equations	1
	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
Trace Ratio Based Manifold Learning With Tensor Data	1
QR algorithm with two‐sided Rayleigh quotient shifts	1
Computing the completely positive factorization via alternating minimization	1
On the Eigenvectors of Non‐Hermitian Tetradiagonal Toeplitz Matrices	1