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 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
Randomized algorithms for generalized singular value decomposition with application to sensitivity analysis	13
Accelerated derivative‐free method for nonlinear monotone equations with an application	13
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
An extension of fast iterative shrinkage‐thresholding algorithm to Riemannian optimization for sparse principal component analysis	12
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
Three adaptive hybrid derivative‐free projection methods for constrained monotone nonlinear equations and their applications	11
Multigrid methods for block‐Toeplitz linear systems: convergence analysis and applications	10
Greedy Motzkin–Kaczmarz methods for solving linear systems	10
Low Tucker rank tensor completion using a symmetric block coordinate descent method	9
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
Gradient based iterative methods for solving symmetric tensor equations	8
Convergence of the fixed‐point iteration for multilinear PageRank	8
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
Condition numbers for the truncated total least squares problem and their estimations	7
All‐at‐once solution of linear wave equations	6
Sketch‐and‐project methods for tensor linear systems	6
New bounds on the condition number of the Hessian of the preconditioned variational data assimilation problem	6
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
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
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 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
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
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
Robust tensor train component analysis	2
Algebraic multigrid for the nonlinear powerflow equations	2
Flexible subspace iteration with moments for an effective contour integration‐based eigensolver	2

Cell‐by‐cell approximate Schur complement technique in preconditioning of meshfree discretized piezoelectric equations	2
A new nonstationary preconditioned iterative method for linear discrete ill‐posed problems with application to image deblurring	2
Dynamical low‐rank approximations of solutions to the Hamilton–Jacobi–Bellman equation	2
Efficient space‐time adaptivity for parabolic evolution equations using wavelets in time and finite elements in space	2
Generalizing reduction‐based algebraic multigrid	2
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver	2
High‐order multigrid strategies for hybrid high‐order discretizations of elliptic equations	2
Tensor method for optimal control problems constrained by fractional three‐dimensional elliptic operator with variable coefficients	2
Matrices associated to two conservative discretizations of Riesz fractional operators and related multigrid solvers	2
Computing f‐divergences and distances of high‐dimensional probability density functions	2
Tensor rank bounds and explicit QTT representations for the inverses of circulant matrices	2
Algebra preconditionings for 2D Riesz distributed‐order space‐fractional diffusion equations on convex domains	2
Impact of correlated observation errors on the conditioning of variational data assimilation problems	2
Fast and stable modification of the Gauss–Newton method for low‐rank signal estimation	2
A closed‐form multigrid smoothing factor for an additive Vanka‐type smoother applied to the Poisson equation	2
Blockwise acceleration of alternating least squares for canonical tensor decomposition	2
Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications	2
TTRISK: Tensor train decomposition algorithm for risk averse optimization	2
Fast solution of three‐dimensional elliptic equations with randomly generated jumping coefficients by using tensor‐structured preconditioners	2
Subspace method for multiparameter‐eigenvalue problems based on tensor‐train representations	2
A Newton‐type method for two‐dimensional eigenvalue problems	2
A perturbation‐based method for a parameter‐dependent nonlinear eigenvalue problem	2
Data‐driven linear complexity low‐rank approximation of general kernel matrices: A geometric approach	2
A trust‐region method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils	2
Multistage mixed precision iterative refinement	2
Nonnegative canonical tensor decomposition with linear constraints: nnCANDELINC	2
An efficient algorithm for solving the nonnegative tensor least squares problem	2
Hierarchical‐matrix method for a class of diffusion‐dominated partial integro‐differential equations	2
A parameterized extended shift‐splitting preconditioner for nonsymmetric saddle point problems	2
Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity	1
An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices	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
Two‐sided Rayleigh quotient iteration for periodic eigenvalue problems	1
A block Cholesky‐LU‐based QR factorization for rectangular matrices	1
Preconditioning Navier–Stokes control using multilevel sequentially semiseparable matrix computations	1
	1
Numerical solution of singular Lyapunov equations	1
High relative accuracy with matrices of q‐integers	1
Lower and upper bounds of condition number for Vandermonde‐wise matrices and method of fundamental solutions using pseudo radial‐lines	1
An algorithm for two‐variable rational interpolation suitable for matrix manipulations with the evaluation–interpolation method	1
Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material	1
Tensor train completion: Local recovery guarantees via Riemannian optimization	1
QZ algorithm with two‐sided generalized Rayleigh quotient shifts	1
A rational‐Chebyshev projection method for nonlinear eigenvalue problems	1
Signal and image reconstruction with a double parameter Hager–Zhang‐type conjugate gradient method for system of nonlinear equations	1
Stage‐parallel preconditioners for implicit Runge–Kutta methods of arbitrarily high order, linear problems	1
A unified rational Krylov method for elliptic and parabolic fractional diffusion problems	1
Probabilistic perturbation bounds of matrix decompositions	1
Some preconditioning techniques for a class of double saddle point problems	1
A preconditioned implicit difference scheme for semilinear two‐dimensional time–space fractional Fokker–Planck equations	1
An iterative algorithm for low‐rank tensor completion problem with sparse noise and missing values	1
Structured matrix recovery from matrix‐vector products	1
Symmetric tensor decomposition by alternating gradient descent	1
Total positivity and accurate computations with Gram matrices of Said‐Ball bases	1
Convergence acceleration of preconditioned conjugate gradient solver based on error vector sampling for a sequence of linear systems	1
Constructing the field of values of decomposable and general matrices using the ZNN based path following method	1
An efficient positive‐definite block‐preconditioned finite volume solver for two‐sided fractional diffusion equations on composite mesh	1
	1
A flexible block classical Gram–Schmidt skeleton with reorthogonalization	1
Corrigendum 2 to: A geometric view of Krylov subspace methods on singular systems	1
A fast and accurate algorithm for solving linear systems associated with a class of negative matrix	1
Matrix‐less methods for the spectral approximation of large non‐Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study	1
Selectable Set Randomized Kaczmarz	1
Spectral analysis of the finite element matrices approximating 2D linearly elastic structures and multigrid proposals	1
	1
Characterization of the dissipative mappings and their application to perturbations of dissipative‐Hamiltonian systems	1
On finding strong approximate inverses for tensors	1
Preconditioned discontinuous Galerkin method and convection‐diffusion‐reaction problems with guaranteed bounds to resulting spectra	1
Spectral partitioning of large and sparse 3‐tensors using low‐rank tensor approximation	1
Least angle regression, relaxed lasso, and elastic net for algebraic multigrid of systems of elliptic partial differential equations	1
Two‐level preconditioning for Ridge Regression	1
A split preconditioning scheme for nonlinear underdetermined least squares problems	1
Sine transform based preconditioning techniques for space fractional diffusion equations	1
On the efficient preconditioning of the Stokes equations in tight geometries	1
Local convergence of alternating low‐rank optimization methods with overrelaxation	1
Practical alternating least squares for tensor ring decomposition	1
Inexact rational Krylov subspace method for eigenvalue problems	1
Optimal polynomial smoothers for multigrid V‐cycles	1
Quasi‐Newton variable preconditioning for nonlinear elasticity systems in 3D	1