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 2020-03-01 to 2024-03-01.)

Article	Citations
Robust tensor completion using transformed tensor singular value decomposition	80
A novel direct method based on the Lucas multiwavelet functions for variable‐order fractional reaction‐diffusion and subdiffusion equations	17
The tensor Golub–Kahan–Tikhonov method applied to the solution of ill‐posed problems with a t‐product structure	15
Nesterov acceleration of alternating least squares for canonical tensor decomposition: Momentum step size selection and restart mechanisms	15
Low synchronization Gram–Schmidt and generalized minimal residual algorithms	14
A local Fourier analysis of additive Vanka relaxation for the Stokes equations	14
A derivative‐free scaling memoryless Broyden–Fletcher–Goldfarb–Shanno method for solving a system of monotone nonlinear equations	14
Further results on the Drazin inverse of even‐order tensors	13
Non‐Hermitian perturbations of Hermitian matrix‐sequences and applications to the spectral analysis of the numerical approximation of partial differential equations	13
Modulus‐based synchronous multisplitting methods for solving horizontal linear complementarity problems on parallel computers	12
Accelerated derivative‐free method for nonlinear monotone equations with an application	12
Optimizing multigrid reduction‐in‐time and Parareal coarse‐grid operators for linear advection	11
Quantum Fourier transform revisited	10
Computation of generalized inverses of tensors via t‐product	10
Decompositions of third‐order tensors: HOSVD, T‐SVD, and Beyond	9
Multigrid methods for block‐Toeplitz linear systems: convergence analysis and applications	9
Comparison between algebraic and matrix‐free geometric multigrid for a Stokes problem on adaptive meshes with variable viscosity	9
Numerical subspace algorithms for solving the tensor equations involving Einstein product	9
Computing low‐rank approximations of the Fréchet derivative of a matrix function using Krylov subspace methods	9
Randomized algorithms for generalized singular value decomposition with application to sensitivity analysis	9
Fast randomized tensor singular value thresholding for low‐rank tensor optimization	9
Low‐rank tensor completion with sparse regularization in a transformed domain	8
An extension of fast iterative shrinkage‐thresholding algorithm to Riemannian optimization for sparse principal component analysis	8
Preconditioned tensor splitting AOR iterative methods for ℋ‐tensor equations	8
A new preconditioning approach for an interior point‐proximal method of multipliers for linear and convex quadratic programming	8

Condition numbers for the truncated total least squares problem and their estimations	6
Greedy Motzkin–Kaczmarz methods for solving linear systems	6
On inexact alternating direction implicit iteration for continuous Sylvester equations	6
Convergence of the fixed‐point iteration for multilinear PageRank	6
Preconditioners for fractional diffusion equations based on the spectral symbol	6
A gradient‐type iterative method for impulse noise removal	6
All‐at‐once solution of linear wave equations	5
Three adaptive hybrid derivative‐free projection methods for constrained monotone nonlinear equations and their applications	5
On “Optimal” h‐independent convergence of Parareal and multigrid‐reduction‐in‐time using Runge‐Kutta time integration	5
Semi‐active ℋ∞ damping optimization by adaptive interpolation	5
Gradient based iterative methods for solving symmetric tensor equations	5
Mixed precision s‐step Lanczos and conjugate gradient algorithms	5
On the block Lanczos and block Golub–Kahan reduction methods applied to discrete ill‐posed problems	5
Minimizing convex quadratics with variable precision conjugate gradients	5
Accurate bidiagonal decomposition of collocation matrices of weighted ϕ‐transformed systems	5
Efficient Krylov subspace methods for uncertainty quantification in large Bayesian linear inverse problems	5
GPBi‐CGstab(L): A Lanczos‐type product method unifying Bi‐CGstab(L) and GPBi‐CG	5
HILUCSI: Simple, robust, and fast multilevel ILU for large‐scale saddle‐point problems from PDEs	4
The Sherman–Morrison–Woodbury formula for generalized linear matrix equations and applications	4
Effectiveness and robustness revisited for a preconditioning technique based on structured incomplete factorization	4
Computing eigenvalues of quasi‐rational Bernstein–Vandermonde matrices to high relative accuracy	4
A randomized generalized low rank approximations of matrices algorithm for high dimensionality reduction and image compression	4
Numerical study in stochastic homogenization for elliptic partial differential equations: Convergence rate in the size of representative volume elements	4
A Rayleigh quotient‐gradient neural network method for computing ?‐eigenpairs of general tensors	4
Summation pollution of principal component analysis and an improved algorithm for location sensitive data	4
Block low‐rank single precision coarse grid solvers for extreme scale multigrid methods	4
Accelerating alternating least squares for tensor decomposition by pairwise perturbation	4
Bounds on the spectra of Schur complements of large H‐TFETI‐DP clusters for 2D Laplacian	4
Solution methods to the nearest rotation matrix problem in ℝ3: A comparative survey	4
Nonoverlapping block smoothers for the Stokes equations	4
Fast iterative solver for the optimal control of time‐dependent PDEs with Crank–Nicolson discretization in time	4
Low Tucker rank tensor completion using a symmetric block coordinate descent method	4
A greedy algorithm for computing eigenvalues of a symmetric matrix with localized eigenvectors	4
Computing the matrix geometric mean: Riemannian versus Euclidean conditioning, implementation techniques, and a Riemannian BFGS method	4
Estimating posterior quantity of interest expectations in a multilevel scalable framework	4
Estimating and increasing the structural robustness of a network	4
New bounds on the condition number of the Hessian of the preconditioned variational data assimilation problem	3
A hybrid gradient method for strictly convex quadratic programming	3
Two‐sided guaranteed bounds to individual eigenvalues of preconditioned finite element and finite difference problems	3
Hierarchical adaptive low‐rank format with applications to discretized partial differential equations	3
Least squares regression principal component analysis: A supervised dimensionality reduction method	3
Incomplete inverse matrices	3
ODE‐based double‐preconditioning for solving linear systems Aαx=b and f(A)x=b	3
Multilevel space‐time multiplicative Schwarz preconditioner for parabolic equations	3
Factorization of completely positive matrices using iterative projected gradient steps	3
Smoothed aggregation for difficult stretched mesh and coefficient variation problems	3
Structure preserving quaternion full orthogonalization method with applications	3
Semiconvergence analysis of the randomized row iterative method and its extended variants	3
Algebraic multigrid for systems of elliptic boundary‐value problems	3
A conforming auxiliary space preconditioner for the mass conserving stress‐yielding method	3

Multilevel graph embedding	3
The Lawson‐Hanson algorithm with deviation maximization: Finite convergence and sparse recovery	3
NURBS in isogeometric discretization methods: A spectral analysis	3
A method for computing the Perron root for primitive matrices	3