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 2021-06-01 to 2025-06-01.)

Article	Citations
Convergence of the block Lanczos method for the trust‐region subproblem in the hard case	22
Rank‐structured approximation of some Cauchy matrices with sublinear complexity	22
Issue Information	18
Structure‐Preserving Model Reduction Approach for Structured Index‐2 Descriptor‐Systems	17
Characterization of the dissipative mappings and their application to perturbations of dissipative‐Hamiltonian systems	16
Inexact inner–outer Golub–Kahan bidiagonalization method: A relaxation strategy	15
Hierarchical adaptive low‐rank format with applications to discretized partial differential equations	15
Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity	14
Dynamically accelerating the power iteration with momentum	14
Stabilized Krylov Subspace Recurrences via Randomized Sketching	12
A fast and accurate algorithm for solving linear systems associated with a class of negative matrix	12
On the efficient preconditioning of the Stokes equations in tight geometries	11
Optimal polynomial smoothers for multigrid V‐cycles	11
Volume‐based subset selection	11
A New Matrix Truncation Method for Improving Approximate Factorization Preconditioners	8
Normalized Newton method to solve generalized tensor eigenvalue problems	8
Issue Information	7
Two‐step Ulm–Chebyshev‐like method for inverse singular value problems	7
Total positivity and accurate computations with Gram matrices of Said‐Ball bases	7
A Bernoulli‐Barycentric Rational Matrix Collocation Method With Preconditioning for a Class of Evolutionary PDEs	7
Fast and stable modification of the Gauss–Newton method for low‐rank signal estimation	6
Block low‐rank single precision coarse grid solvers for extreme scale multigrid methods	6
Adaptive Factored Incomplete Inverse Matrices	6
Randomized low‐rank approximation of parameter‐dependent matrices	6
A Rational Arnoldi Approach for Sobolev Rational Least Squares Problems	6

Sine transform based preconditioning techniques for space fractional diffusion equations	6
Numerical algorithm for estimating a conditioned symmetric positive definite matrix under constraints	6
Dual Perturbation Method for Spectral Solution of Block‐Posed Harmonic Problems	6
Matrix‐less methods for the spectral approximation of large non‐Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study	5
Fast Solution of Sylvester‐Structured Systems for Spatial Source Separation of the Cosmic Microwave Background	5
Robust Low‐Rank Tensor Recovery Using a Self‐Adaptive Learnable Weighted Tensor Total Variation Method	5
On adapting Nesterov's scheme to accelerate iterative methods for linear problems	5
Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank	5
Subspace method for multiparameter‐eigenvalue problems based on tensor‐train representations	5
Study and Use of Spectral Symbol Properties for Isogeometric Matrices on Trimmed Geometries	5
ODE‐based double‐preconditioning for solving linear systems Aαx=b and f(A)x=b	5
	5
Low‐order preconditioning of the Stokes equations	4
Issue Information	4
Selectable Set Randomized Kaczmarz	4
	4
Fast iterative solver for the optimal control of time‐dependent PDEs with Crank–Nicolson discretization in time	4
CP decomposition for tensors via alternating least squares with QR decomposition	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
Estimating and increasing the structural robustness of a network	4
Conditioning of hybrid variational data assimilation	4
	4
A unified rational Krylov method for elliptic and parabolic fractional diffusion problems	4
Nonlinear approximation of functions based on nonnegative least squares solver	4
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
Nonnegative canonical tensor decomposition with linear constraints: nnCANDELINC	3
Accelerating alternating least squares for tensor decomposition by pairwise perturbation	3
Three adaptive hybrid derivative‐free projection methods for constrained monotone nonlinear equations and their applications	3
Issue Information	3
Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications	3
A sampling greedy average regularized Kaczmarz method for tensor recovery	3
Low‐rank updates of matrix square roots	3
Practical sketching‐based randomized tensor ring decomposition	3
Error bounds for the approximation of matrix functions with rational Krylov methods	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
Weighted relaxation for multigrid reduction in time	3
	3
Memory‐efficient compression of ????ℋ²‐matrices for high‐frequency Helmholtz problems	3
An iterative algorithm for low‐rank tensor completion problem with sparse noise and missing values	3
Multilevel Additive Schwarz Preconditioners for High‐Order Block Implicit Methods for Parabolic Equations	3
	2
A Semi‐Randomized and Augmented Kaczmarz Method With Simple Random Sampling for Large‐Scale Inconsistent Linear Systems	2
	2
	2
Issue Information	2
A Riemannian Rank‐Adaptive Method for Higher‐Order Tensor Completion in the Tensor‐Train Format	2
Backward error analysis of specified eigenpairs for sparse matrix polynomials	2

High Relative Accuracy With Collocation Matrices of q$$ q $$‐Jacobi Polynomials	2
Computing f‐divergences and distances of high‐dimensional probability density functions	2
	2
Flexible subspace iteration with moments for an effective contour integration‐based eigensolver	2
Issue Information	2
Robust tensor recovery via a nonconvex approach with ket augmentation and auto‐weighted strategy	2
Shifted LOPBiCG: A locally orthogonal product‐type method for solving nonsymmetric shifted linear systems based on Bi‐CGSTAB	2
Inverse Eigenvalue Difference Problems for Quantum Dots	2
Multilevel‐in‐width training for deep neural network regression	2
HILUCSI: Simple, robust, and fast multilevel ILU for large‐scale saddle‐point problems from PDEs	2
Issue Information	2
Quasi‐Newton variable preconditioning for nonlinear elasticity systems in 3D	2
Issue Information	2
	2
On rank‐revealing QR factorizations of quaternion matrices	2
Robust tensor train component analysis	2
A two‐step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations	2
	2
Continuation methods for nonnegative rank‐1 approximation of nonnegative tensors	1
Nonconvex optimization for third‐order tensor completion under wavelet transform	1
Angle‐Free Cluster‐Robust Ritz Value Bounds for Restarted Block Eigensolvers	1
Anderson acceleration with approximate calculations: Applications to scientific computing	1
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver	1
Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material	1
	1
A Vanka‐based parameter‐robust multigrid relaxation for the Stokes–Darcy Brinkman problems	1
Preconditioners for fractional diffusion equations based on the spectral symbol	1
A conforming auxiliary space preconditioner for the mass conserving stress‐yielding method	1
The tensor Golub–Kahan–Tikhonov method applied to the solution of ill‐posed problems with a t‐product structure	1
	1
Data‐driven linear complexity low‐rank approximation of general kernel matrices: A geometric approach	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
Computing low‐rank approximations of the Fréchet derivative of a matrix function using Krylov subspace methods	1
Editorial	1
QZ algorithm with two‐sided generalized Rayleigh quotient shifts	1
The generalized residual cutting method and its convergence characteristics	1
Generalizing reduction‐based algebraic multigrid	1
Fast randomized tensor singular value thresholding for low‐rank tensor optimization	1
Noisy Non‐Negative Tucker Decomposition With Sparse Factors and Missing Data	1
QR algorithm with two‐sided Rayleigh quotient shifts	1
Structure preserving quaternion full orthogonalization method with applications	1
Issue Information	1
Issue Information	1
Computation of generalized inverses of tensors via t‐product	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
Stage‐parallel preconditioners for implicit Runge–Kutta methods of arbitrarily high order, linear problems	1
A closed‐form multigrid smoothing factor for an additive Vanka‐type smoother applied to the Poisson equation	1
	1
Enhanced algebraic substructuring for symmetric generalized eigenvalue problems	1
Matrices associated to two conservative discretizations of Riesz fractional operators and related multigrid solvers	1
Computing the completely positive factorization via alternating minimization	1
A Family of Inertial Three‐Term CGPMs for Large‐Scale Nonlinear Pseudo‐Monotone Equations With Convex Constraints	1
The nearest graph Laplacian in Frobenius norm	1
Algebra preconditionings for 2D Riesz distributed‐order space‐fractional diffusion equations on convex domains	1
On estimation of the optimal parameter of the modulus‐based matrix splitting algorithm for linear complementarity problems on second‐order cones	1
	1
Preconditioned discontinuous Galerkin method and convection‐diffusion‐reaction problems with guaranteed bounds to resulting spectra	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
Efficient algorithms for computing rank‐revealing factorizations on a GPU	1
An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices	1