OOIR: Observatory of International Research

Papers

(The TQCC of Numerical Linear Algebra With Applications is 3. 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 2021-11-01 to 2025-11-01.)

Article	Citations
Hierarchical adaptive low‐rank format with applications to discretized partial differential equations	27
Rank‐structured approximation of some Cauchy matrices with sublinear complexity	20
Improved TriCG and TriMR Methods for Symmetric Quasi‐Definite Linear Systems	18
Inexact inner–outer Golub–Kahan bidiagonalization method: A relaxation strategy	18
Convergence of the block Lanczos method for the trust‐region subproblem in the hard case	17
Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity	17
Issue Information	15
Stabilized Krylov Subspace Recurrences via Randomized Sketching	14
Dynamically accelerating the power iteration with momentum	13
Structure‐Preserving Model Reduction Approach for Structured Index‐2 Descriptor‐Systems	13
On the efficient preconditioning of the Stokes equations in tight geometries	11
Issue Information	9
Optimal polynomial smoothers for multigrid V‐cycles	9
A fast and accurate algorithm for solving linear systems associated with a class of negative matrix	9
Volume‐based subset selection	9
A Bernoulli‐Barycentric Rational Matrix Collocation Method With Preconditioning for a Class of Evolutionary PDEs	8
Total positivity and accurate computations with Gram matrices of Said‐Ball bases	8
Normalized Newton method to solve generalized tensor eigenvalue problems	8
Two‐step Ulm–Chebyshev‐like method for inverse singular value problems	8
Sine transform based preconditioning techniques for space fractional diffusion equations	7
Fast and stable modification of the Gauss–Newton method for low‐rank signal estimation	7
Dual Perturbation Method for Spectral Solution of Block‐Posed Harmonic Problems	7
A Rational Arnoldi Approach for Sobolev Rational Least Squares Problems	7
A New Matrix Truncation Method for Improving Approximate Factorization Preconditioners	7
Robust Low‐Rank Tensor Recovery Using a Self‐Adaptive Learnable Weighted Tensor Total Variation Method	6

Adaptive Factored Incomplete Inverse Matrices	6
Subspace method for multiparameter‐eigenvalue problems based on tensor‐train representations	6
Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank	6
Numerical algorithm for estimating a conditioned symmetric positive definite matrix under constraints	6
	6
Fast Solution of Sylvester‐Structured Systems for Spatial Source Separation of the Cosmic Microwave Background	6
Randomized low‐rank approximation of parameter‐dependent matrices	6
Randomized Orthogonalization Process With Reorthogonalization	5
Study and Use of Spectral Symbol Properties for Isogeometric Matrices on Trimmed Geometries	5
Low‐order preconditioning of the Stokes equations	5
Solution methods to the nearest rotation matrix problem in ℝ3: A comparative survey	5
Issue Information	5
Issue Information	5
	5
Fast iterative solver for the optimal control of time‐dependent PDEs with Crank–Nicolson discretization in time	5
A unified rational Krylov method for elliptic and parabolic fractional diffusion problems	5
Signal and image reconstruction with a double parameter Hager–Zhang‐type conjugate gradient method for system of nonlinear equations	5
Conditioning of hybrid variational data assimilation	5
CP decomposition for tensors via alternating least squares with QR decomposition	5
Matrix‐less methods for the spectral approximation of large non‐Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study	5
Selectable Set Randomized Kaczmarz	5
Multilevel Additive Schwarz Preconditioners for High‐Order Block Implicit Methods for Parabolic Equations	4
Accelerated schemes of compact difference methods for space‐fractional sine‐Gordon equations with distributed delay	4
A sampling greedy average regularized Kaczmarz method for tensor recovery	4
Practical alternating least squares for tensor ring decomposition	4
Weighted relaxation for multigrid reduction in time	4
Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications	4
Structured Nuclear Norm Matrix Completion: Guaranteeing Exact Recovery via Block‐Column Scaling	4
	4
Nonlinear approximation of functions based on nonnegative least squares solver	4
Blockwise acceleration of alternating least squares for canonical tensor decomposition	4
Lower and upper bounds of condition number for Vandermonde‐wise matrices and method of fundamental solutions using pseudo radial‐lines	4
Issue Information	3
Issue Information	3
Quasi‐Newton variable preconditioning for nonlinear elasticity systems in 3D	3
Accelerating alternating least squares for tensor decomposition by pairwise perturbation	3
Practical sketching‐based randomized tensor ring decomposition	3
	3
An iterative algorithm for low‐rank tensor completion problem with sparse noise and missing values	3
Smoothed Moreau‐Yosida Tensor‐Train Approximation of State‐Constrained Optimization Problems Under Uncertainty	3
Issue Information	3
Robust tensor recovery via a nonconvex approach with ket augmentation and auto‐weighted strategy	3
	3
Memory‐efficient compression of ????ℋ²‐matrices for high‐frequency Helmholtz problems	3
Nonnegative canonical tensor decomposition with linear constraints: nnCANDELINC	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	3
Flexible subspace iteration with moments for an effective contour integration‐based eigensolver	3
A Semi‐Randomized and Augmented Kaczmarz Method With Simple Random Sampling for Large‐Scale Inconsistent Linear Systems	3
Reverse Quantile‐RK and Its Application to Quantile‐RK	3

Error bounds for the approximation of matrix functions with rational Krylov methods	3
Issue Information	3
	3
Low‐rank updates of matrix square roots	3