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 2020-11-01 to 2024-11-01.)

Article	Citations
The tensor Golub–Kahan–Tikhonov method applied to the solution of ill‐posed problems with a t‐product structure	19
A novel direct method based on the Lucas multiwavelet functions for variable‐order fractional reaction‐diffusion and subdiffusion equations	19
Optimizing multigrid reduction‐in‐time and Parareal coarse‐grid operators for linear advection	17
A derivative‐free scaling memoryless Broyden–Fletcher–Goldfarb–Shanno method for solving a system of monotone nonlinear equations	16
Structure preserving quaternion full orthogonalization method with applications	14
Accelerated derivative‐free method for nonlinear monotone equations with an application	13
Randomized algorithms for generalized singular value decomposition with application to sensitivity analysis	13
An extension of fast iterative shrinkage‐thresholding algorithm to Riemannian optimization for sparse principal component analysis	12
Comparison between algebraic and matrix‐free geometric multigrid for a Stokes problem on adaptive meshes with variable viscosity	12
Preconditioners for fractional diffusion equations based on the spectral symbol	12
Three adaptive hybrid derivative‐free projection methods for constrained monotone nonlinear equations and their applications	11
Fast randomized tensor singular value thresholding for low‐rank tensor optimization	11
Computing low‐rank approximations of the Fréchet derivative of a matrix function using Krylov subspace methods	11
Numerical subspace algorithms for solving the tensor equations involving Einstein product	11
Computation of generalized inverses of tensors via t‐product	11
Greedy Motzkin–Kaczmarz methods for solving linear systems	10
Multigrid methods for block‐Toeplitz linear systems: convergence analysis and applications	10
Low Tucker rank tensor completion using a symmetric block coordinate descent method	9
Gradient based iterative methods for solving symmetric tensor equations	8
Convergence of the fixed‐point iteration for multilinear PageRank	8
Low‐rank tensor completion with sparse regularization in a transformed domain	8
A new preconditioning approach for an interior point‐proximal method of multipliers for linear and convex quadratic programming	8
Mixed precisions‐step Lanczos and conjugate gradient algorithms	8
Condition numbers for the truncated total least squares problem and their estimations	7
The Lawson‐Hanson algorithm with deviation maximization: Finite convergence and sparse recovery	7

A two‐step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations	7
On the block Lanczos and block Golub–Kahan reduction methods applied to discrete ill‐posed problems	7
New bounds on the condition number of the Hessian of the preconditioned variational data assimilation problem	6
All‐at‐once solution of linear wave equations	6
Sketch‐and‐project methods for tensor linear systems	6
Summation pollution of principal component analysis and an improved algorithm for location sensitive data	5
Block low‐rank single precision coarse grid solvers for extreme scale multigrid methods	5
Hierarchical adaptive low‐rank format with applications to discretized partial differential equations	5
Incomplete inverse matrices	5
A class of improved conjugate gradient methods for nonconvex unconstrained optimization	5
Estimating and increasing the structural robustness of a network	5
A gradient‐type iterative method for impulse noise removal	5
Two‐sided guaranteed bounds to individual eigenvalues of preconditioned finite element and finite difference problems	5
A class of block alternating splitting implicit iteration methods for double saddle point linear systems	4
CP decomposition for tensors via alternating least squares with QR decomposition	4
HILUCSI: Simple, robust, and fast multilevel ILU for large‐scale saddle‐point problems from PDEs	4
Multilevel space‐time multiplicative Schwarz preconditioner for parabolic equations	4
A hybrid gradient method for strictly convex quadratic programming	4
On the matrices in B‐spline collocation methods for Riesz fractional equations and their spectral properties	4
Computing eigenvalues of quasi‐rational Bernstein–Vandermonde matrices to high relative accuracy	4
Solution methods to the nearest rotation matrix problem in ℝ3: A comparative survey	4
Fast iterative solver for the optimal control of time‐dependent PDEs with Crank–Nicolson discretization in time	4
A Rayleigh quotient‐gradient neural network method for computing ?‐eigenpairs of general tensors	4
The Sherman–Morrison–Woodbury formula for generalized linear matrix equations and applications	4
A conforming auxiliary space preconditioner for the mass conserving stress‐yielding method	4
Toward efficient polynomial preconditioning for GMRES	4
Factorization of completely positive matrices using iterative projected gradient steps	4
Anderson accelerated fixed‐point iteration for multilinear PageRank	4
Nonoverlapping block smoothers for the Stokes equations	4
Accelerating block coordinate descent for nonnegative tensor factorization	4
Low‐order preconditioning of the Stokes equations	4
Matrix‐free preconditioning for high‐orderH(curl) discretizations	4
Accelerating alternating least squares for tensor decomposition by pairwise perturbation	4
Anderson acceleration of the modulus‐based matrix splitting algorithms for horizontal nonlinear complementarity systems	4
Estimating posterior quantity of interest expectations in a multilevel scalable framework	4
A fast spectral divide‐and‐conquer method for banded matrices	3
A family of inertial‐based derivative‐free projection methods with a correction step for constrained nonlinear equations and their applications	3
Preconditioners for robust optimal control problems under uncertainty	3
Accurate and efficient computations with Wronskian matrices of Bernstein and related bases	3
Least squares regression principal component analysis: A supervised dimensionality reduction method	3
Analysis of optimal preconditioners for CutFEM	3
Practical sketching‐based randomized tensor ring decomposition	3
Smoothed aggregation for difficult stretched mesh and coefficient variation problems	3
Numerical methods for rectangular multiparameter eigenvalue problems, with applications to finding optimal ARMA and LTI models	3
ODE‐based double‐preconditioning for solving linear systems Aαx=b and f(A)x=b	3
A tensor bidiagonalization method for higher‐order singular value decomposition with applications	3
A continuation method for computing the multilinear PageRank	3