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 2022-08-01 to 2026-08-01.)

Article	Citations
Rank‐structured approximation of some Cauchy matrices with sublinear complexity	42
Convergence of the block Lanczos method for the trust‐region subproblem in the hard case	21
Inexact inner–outer Golub–Kahan bidiagonalization method: A relaxation strategy	21
Issue Information	19
Structure‐Preserving Model Reduction Approach for Structured Index‐2 Descriptor‐Systems	16
Improved TriCG and TriMR Methods for Symmetric Quasi‐Definite Linear Systems	15
	13
Robust Quaternion Matrix Completion via Fast Randomized Low‐Rank Approximation	12
Stabilized Krylov Subspace Recurrences via Randomized Sketching	12
	11
Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity	11
Refined Error Bounds for Relaxed Greedy Randomized Kaczmarz Methods	11
Accelerated Gradient Descent With Quasi‐Newton Preconditioning for Nearest Correlation Matrix Problems	11
Dynamically accelerating the power iteration with momentum	11
A fast and accurate algorithm for solving linear systems associated with a class of negative matrix	10
An Inertial‐Relaxed Newton‐Type Projection Method for Solving Nonlinear Equations With Applications	9
Optimal polynomial smoothers for multigrid V‐cycles	9
On the efficient preconditioning of the Stokes equations in tight geometries	9
Sine transform based preconditioning techniques for space fractional diffusion equations	8
Randomized Quaternion Generalized Singular Value Decomposition Algorithms With Error Analysis	8
Volume‐based subset selection	8
A Fast Iterative Method for Variable‐Order Time‐Fractional Optimal Control Problem	8
Total positivity and accurate computations with Gram matrices of Said‐Ball bases	8
A New Matrix Truncation Method for Improving Approximate Factorization Preconditioners	8
Normalized Newton method to solve generalized tensor eigenvalue problems	8

Partially‐Updating Extrapolation Methods for Multilinear PageRank	8
Dual Perturbation Method for Spectral Solution of Block‐Posed Harmonic Problems	7
A Bernoulli‐Barycentric Rational Matrix Collocation Method With Preconditioning for a Class of Evolutionary PDEs	7
Overlapping Schwarz Methods Are Not Anisotropy‐Robust Multigrid Smoothers	7
Numerical algorithm for estimating a conditioned symmetric positive definite matrix under constraints	7
A Riemannian Gradient Descent Method for Optimization on the Indefinite Stiefel Manifold	7
Randomized low‐rank approximation of parameter‐dependent matrices	7
Modified Greedy Quasi Block Coordinate Descent Method for Solving Linear Least‐Squares Problems	7
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
Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank	6
Adaptive Factored Incomplete Inverse Matrices	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
Study and Use of Spectral Symbol Properties for Isogeometric Matrices on Trimmed Geometries	5
Chebyshev Smoothing With Adaptive Block‐FSAI Preconditioners for the Multilevel Solution of Higher‐Order Problems With the Partition of Unity Method	5
Issue Information	5
Row‐Aware Randomized SVD With Applications	5
The Block Preconditioned SOR Method for Solving Indefinite Complex Linear Systems	5
Conditioning of hybrid variational data assimilation	5
	5
Iterative Solution of Forward and Adjoint Systems Using a Nonsymmetric Saddle Point Matrix With Preconditioning	4
Nonlinear approximation of functions based on nonnegative least squares solver	4
Blockwise acceleration of alternating least squares for canonical tensor decomposition	4
A sampling greedy average regularized Kaczmarz method for tensor recovery	4
Solution methods to the nearest rotation matrix problem in ℝ3: A comparative survey	4
Signal and image reconstruction with a double parameter Hager–Zhang‐type conjugate gradient method for system of nonlinear equations	4
Issue Information	4
Weighted relaxation for multigrid reduction in time	4
RGDBEK: Randomized Greedy Double Block Extended Kaczmarz Algorithm With Hybrid Parallel Implementation and Applications	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
CP decomposition for tensors via alternating least squares with QR decomposition	4
	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
A unified rational Krylov method for elliptic and parabolic fractional diffusion problems	4
Randomized Orthogonalization Process With Reorthogonalization	4
Low‐rank updates of matrix square roots	3
Lower and upper bounds of condition number for Vandermonde‐wise matrices and method of fundamental solutions using pseudo radial‐lines	3
Low‐Rank SPIKE Framework for Solving Large Sparse Linear Systems With Applications	3
Toward Genuine Efficiency and Cluster Robustness of Preconditioned CG‐Like Eigensolvers	3
Issue Information	3
Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications	3
A τ Preconditioner for Options Pricing Problem Under Jump‐Diffusion Models	3
Convergence Analysis of an Alternating Nonlinear GMRES on Linear Systems	3
An Extended Krylov Subspace Method for Decoding Edge‐Based Compressed Images by Homogeneous Diffusion	3
Structured Nuclear Norm Matrix Completion: Guaranteeing Exact Recovery via Block‐Column Scaling	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	2

A Riemannian Rank‐Adaptive Method for Higher‐Order Tensor Completion in the Tensor‐Train Format	2
Issue Information	2
Reverse Quantile‐RK and Its Application to Quantile‐RK	2
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	2
On Fast Randomized and Deterministic Block Gauss‐Seidel Methods for Solving Least Squares Problems	2
	2
Error bounds for the approximation of matrix functions with rational Krylov methods	2
Issue Information	2
Memory‐efficient compression of ????ℋ²‐matrices for high‐frequency Helmholtz problems	2
Robust tensor recovery via a nonconvex approach with ket augmentation and auto‐weighted strategy	2
An iterative algorithm for low‐rank tensor completion problem with sparse noise and missing values	2
A Semi‐Randomized and Augmented Kaczmarz Method With Simple Random Sampling for Large‐Scale Inconsistent Linear Systems	2
	2
High Relative Accuracy With Collocation Matrices of q$$ q $$‐Jacobi Polynomials	2
Convergence Analysis of an Aggregation‐Based Two‐Grid Method, With Applications to Linear Elasticity	2
Issue Information	2
Practical sketching‐based randomized tensor ring decomposition	2
Computing f‐divergences and distances of high‐dimensional probability density functions	2
	2
Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix	2
	2
Quasi‐Newton variable preconditioning for nonlinear elasticity systems in 3D	2
A two‐step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations	2
Smoothed Moreau‐Yosida Tensor‐Train Approximation of State‐Constrained Optimization Problems Under Uncertainty	2
	2
A closed‐form multigrid smoothing factor for an additive Vanka‐type smoother applied to the Poisson equation	1
Fast solution of three‐dimensional elliptic equations with randomly generated jumping coefficients by using tensor‐structured preconditioners	1
QR algorithm with two‐sided Rayleigh quotient shifts	1
On rank‐revealing QR factorizations of quaternion matrices	1
Anderson acceleration with approximate calculations: Applications to scientific computing	1
Efficient algorithms for computing rank‐revealing factorizations on a GPU	1
Constructing the field of values of decomposable and general matrices using the ZNN based path following method	1
On estimation of the optimal parameter of the modulus‐based matrix splitting algorithm for linear complementarity problems on second‐order cones	1
The nearest graph Laplacian in Frobenius norm	1
Noisy Non‐Negative Tucker Decomposition With Sparse Factors and Missing Data	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
An Accelerated Spectral CG‐Type Projection Method With Restart Strategy for Nonlinear Monotone Equations and Applications in Compressed Sensing	1
Nonconvex optimization for third‐order tensor completion under wavelet transform	1
Optimal Preconditioners for Nonsymmetric Multilevel Toeplitz Systems With Application to Solving Nonlocal Evolutionary Partial Differential Equations	1
Shifted LOPBiCG: A locally orthogonal product‐type method for solving nonsymmetric shifted linear systems based on Bi‐CGSTAB	1
On the matrices in B‐spline collocation methods for Riesz fractional equations and their spectral properties	1
An Algebraic Multilevel Schur Complement Preconditioner Based on Eigenvalue Deflation	1
Structure preserving quaternion full orthogonalization method with applications	1
Issue Information	1
	1
	1
On the Eigenvectors of Non‐Hermitian Tetradiagonal Toeplitz Matrices	1
Computing the completely positive factorization via alternating minimization	1
Editorial	1
Generalizing reduction‐based algebraic multigrid	1
Structure‐Preserving Quaternion Conjugate Gradient Normal Equation Error Algorithm With Applications	1
QZ algorithm with two‐sided generalized Rayleigh quotient shifts	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
Issue Information	1
Spectral Analysis of Block Diagonally Preconditioned Multiple Saddle‐Point Matrices With Inexact Schur Complements	1
Multi‐view side information‐incorporated tensor completion	1
Trace Ratio Based Manifold Learning With Tensor Data	1
An Accelerated Newton‐GMRES Method for Multilinear PageRank	1
Stage‐parallel preconditioners for implicit Runge–Kutta methods of arbitrarily high order, linear problems	1
A Family of Inertial Three‐Term CGPMs for Large‐Scale Nonlinear Pseudo‐Monotone Equations With Convex Constraints	1
Enhanced algebraic substructuring for symmetric generalized eigenvalue problems	1
Data‐driven linear complexity low‐rank approximation of general kernel matrices: A geometric approach	1
Angle‐Free Cluster‐Robust Ritz Value Bounds for Restarted Block Eigensolvers	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
Backward error analysis of specified eigenpairs for sparse matrix polynomials	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
Algebra preconditionings for 2D Riesz distributed‐order space‐fractional diffusion equations on convex domains	1
	1
Issue Information	1
Approximation of the Pseudospectral Abscissa via Eigenvalue Perturbation Theory	1
Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material	1