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 2022-05-01 to 2026-05-01.)

Article	Citations
Rank‐structured approximation of some Cauchy matrices with sublinear complexity	39
Inexact inner–outer Golub–Kahan bidiagonalization method: A relaxation strategy	20
Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity	19
Convergence of the block Lanczos method for the trust‐region subproblem in the hard case	18
Issue Information	15
Dynamically accelerating the power iteration with momentum	12
Structure‐Preserving Model Reduction Approach for Structured Index‐2 Descriptor‐Systems	12
Refined Error Bounds for Relaxed Greedy Randomized Kaczmarz Methods	10
Robust Quaternion Matrix Completion via Fast Randomized Low‐Rank Approximation	10
	10
Improved TriCG and TriMR Methods for Symmetric Quasi‐Definite Linear Systems	10
Hierarchical adaptive low‐rank format with applications to discretized partial differential equations	10
Accelerated Gradient Descent With Quasi‐Newton Preconditioning for Nearest Correlation Matrix Problems	9
Stabilized Krylov Subspace Recurrences via Randomized Sketching	9
A fast and accurate algorithm for solving linear systems associated with a class of negative matrix	9
Optimal polynomial smoothers for multigrid V‐cycles	8
Issue Information	8
	8
An Inertial‐Relaxed Newton‐Type Projection Method for Solving Nonlinear Equations With Applications	8
On the efficient preconditioning of the Stokes equations in tight geometries	8
Volume‐based subset selection	8
Total positivity and accurate computations with Gram matrices of Said‐Ball bases	7
Normalized Newton method to solve generalized tensor eigenvalue problems	7
A Fast Iterative Method for Variable‐Order Time‐Fractional Optimal Control Problem	7
A Bernoulli‐Barycentric Rational Matrix Collocation Method With Preconditioning for a Class of Evolutionary PDEs	7

A New Matrix Truncation Method for Improving Approximate Factorization Preconditioners	7
Sine transform based preconditioning techniques for space fractional diffusion equations	7
Randomized Quaternion Generalized Singular Value Decomposition Algorithms With Error Analysis	6
Numerical algorithm for estimating a conditioned symmetric positive definite matrix under constraints	6
A Riemannian Gradient Descent Method for Optimization on the Indefinite Stiefel Manifold	6
Overlapping Schwarz Methods Are Not Anisotropy‐Robust Multigrid Smoothers	6
Dual Perturbation Method for Spectral Solution of Block‐Posed Harmonic Problems	6
Randomized low‐rank approximation of parameter‐dependent 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
Adaptive Factored Incomplete Inverse Matrices	6
Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank	6
Robust Low‐Rank Tensor Recovery Using a Self‐Adaptive Learnable Weighted Tensor Total Variation Method	5
Matrix‐less methods for the spectral approximation of large non‐Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study	5
The Block Preconditioned SOR Method for Solving Indefinite Complex Linear Systems	5
	5
Conditioning of hybrid variational data assimilation	5
Issue Information	5
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
Solution methods to the nearest rotation matrix problem in ℝ3: A comparative survey	4
Practical alternating least squares for tensor ring decomposition	4
Selectable Set Randomized Kaczmarz	4
Randomized Orthogonalization Process With Reorthogonalization	4
	4
A sampling greedy average regularized Kaczmarz method for tensor recovery	4
Study and Use of Spectral Symbol Properties for Isogeometric Matrices on Trimmed Geometries	4
Issue Information	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
A Preconditioner for Solving Linear Programming Problems With Dense Columns	4
Weighted relaxation for multigrid reduction in time	3
Low‐rank updates of matrix square roots	3
Structured Nuclear Norm Matrix Completion: Guaranteeing Exact Recovery via Block‐Column Scaling	3
An Extended Krylov Subspace Method for Decoding Edge‐Based Compressed Images by Homogeneous Diffusion	3
Low‐Rank SPIKE Framework for Solving Large Sparse Linear Systems With Applications	3
Accelerated schemes of compact difference methods for space‐fractional sine‐Gordon equations with distributed delay	3
Blockwise acceleration of alternating least squares for canonical tensor decomposition	3
Lower and upper bounds of condition number for Vandermonde‐wise matrices and method of fundamental solutions using pseudo radial‐lines	3
Convergence Analysis of an Alternating Nonlinear GMRES on Linear Systems	3
Three adaptive hybrid derivative‐free projection methods for constrained monotone nonlinear equations and their applications	3
Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications	3
Issue Information	3
Nonlinear approximation of functions based on nonnegative least squares solver	3
A τ Preconditioner for Options Pricing Problem Under Jump‐Diffusion Models	3
	3
Investigating the Numerical Determination of the Field of Values via Taylor Approximation	2
Quasi‐Newton variable preconditioning for nonlinear elasticity systems in 3D	2
A Semi‐Randomized and Augmented Kaczmarz Method With Simple Random Sampling for Large‐Scale Inconsistent Linear Systems	2
Approximation of the Pseudospectral Abscissa via Eigenvalue Perturbation Theory	2

	2
	2
Error bounds for the approximation of matrix functions with rational Krylov methods	2
Smoothed Moreau‐Yosida Tensor‐Train Approximation of State‐Constrained Optimization Problems Under Uncertainty	2
Robust tensor recovery via a nonconvex approach with ket augmentation and auto‐weighted strategy	2
Issue Information	2
	2
Issue Information	2
A two‐step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations	2
Toward Genuine Efficiency and Cluster Robustness of Preconditioned CG‐Like Eigensolvers	2
	2
Practical sketching‐based randomized tensor ring decomposition	2
Convergence Analysis of an Aggregation‐Based Two‐Grid Method, With Applications to Linear Elasticity	2
Memory‐efficient compression of ????ℋ²‐matrices for high‐frequency Helmholtz problems	2
An iterative algorithm for low‐rank tensor completion problem with sparse noise and missing values	2
Computing f‐divergences and distances of high‐dimensional probability density functions	2
Issue Information	2
Reverse Quantile‐RK and Its Application to Quantile‐RK	2
	2
A Riemannian Rank‐Adaptive Method for Higher‐Order Tensor Completion in the Tensor‐Train Format	2
Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix	2
An Accelerated Spectral CG‐Type Projection Method With Restart Strategy for Nonlinear Monotone Equations and Applications in Compressed Sensing	1
Issue Information	1
Backward error analysis of specified eigenpairs for sparse matrix polynomials	1
Optimal Preconditioners for Nonsymmetric Multilevel Toeplitz Systems With Application to Solving Nonlocal Evolutionary Partial Differential Equations	1
QZ algorithm with two‐sided generalized Rayleigh quotient shifts	1
Issue Information	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
Stage‐parallel preconditioners for implicit Runge–Kutta methods of arbitrarily high order, linear problems	1
	1
Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material	1
QR algorithm with two‐sided Rayleigh quotient shifts	1
An Accelerated Newton‐GMRES Method for Multilinear PageRank	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
Space‐Time Block Preconditioning for Incompressible Resistive Magnetohydrodynamics	1
A closed‐form multigrid smoothing factor for an additive Vanka‐type smoother applied to the Poisson equation	1
High Relative Accuracy With Collocation Matrices of q$$ q $$‐Jacobi Polynomials	1
Shifted LOPBiCG: A locally orthogonal product‐type method for solving nonsymmetric shifted linear systems based on Bi‐CGSTAB	1
Angle‐Free Cluster‐Robust Ritz Value Bounds for Restarted Block Eigensolvers	1
Fast solution of three‐dimensional elliptic equations with randomly generated jumping coefficients by using tensor‐structured preconditioners	1
Trace Ratio Based Manifold Learning With Tensor Data	1
On the matrices in B‐spline collocation methods for Riesz fractional equations and their spectral properties	1
Enhanced algebraic substructuring for symmetric generalized eigenvalue problems	1
Editorial	1
The nearest graph Laplacian in Frobenius norm	1
On rank‐revealing QR factorizations of quaternion matrices	1
Anderson acceleration with approximate calculations: Applications to scientific computing	1
Computing the completely positive factorization via alternating minimization	1
Noisy Non‐Negative Tucker Decomposition With Sparse Factors and Missing Data	1
	1
A conforming auxiliary space preconditioner for the mass conserving stress‐yielding method	1
Inverse Eigenvalue Difference Problems for Quantum Dots	1
The generalized residual cutting method and its convergence characteristics	1
	1
Constructing the field of values of decomposable and general matrices using the ZNN based path following method	1
On the Eigenvectors of Non‐Hermitian Tetradiagonal Toeplitz Matrices	1
Structure preserving quaternion full orthogonalization method with applications	1
On estimation of the optimal parameter of the modulus‐based matrix splitting algorithm for linear complementarity problems on second‐order cones	1
Data‐driven linear complexity low‐rank approximation of general kernel matrices: A geometric approach	1
Generalizing reduction‐based algebraic multigrid	1
Efficient algorithms for computing rank‐revealing factorizations on a GPU	1
Issue Information	1
A Family of Inertial Three‐Term CGPMs for Large‐Scale Nonlinear Pseudo‐Monotone Equations With Convex Constraints	1
Nonconvex optimization for third‐order tensor completion under wavelet transform	1
Multilevel‐in‐width training for deep neural network regression	1
A Vanka‐based parameter‐robust multigrid relaxation for the Stokes–Darcy Brinkman problems	1