Numerical Linear Algebra With Applications

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
Nesterov acceleration of alternating least squares for canonical tensor decomposition: Momentum step size selection and restart mechanisms	15
The tensor Golub–Kahan–Tikhonov method applied to the solution of ill‐posed problems with a t‐product structure	15
A derivative‐free scaling memoryless Broyden–Fletcher–Goldfarb–Shanno method for solving a system of monotone nonlinear equations	14
Low synchronization Gram–Schmidt and generalized minimal residual algorithms	14
A local Fourier analysis of additive Vanka relaxation for the Stokes equations	14
Non‐Hermitian perturbations of Hermitian matrix‐sequences and applications to the spectral analysis of the numerical approximation of partial differential equations	13
Further results on the Drazin inverse of even‐order tensors	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
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
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
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
Low‐rank tensor completion with sparse regularization in a transformed domain	8

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
Condition numbers for the truncated total least squares problem and their estimations	6
Greedy Motzkin–Kaczmarz methods for solving linear systems	6
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
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
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
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
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
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
Preconditioning for accurate solutions of ill‐conditioned linear systems	2
Low‐order preconditioning of the Stokes equations	2
A new nonstationary preconditioned iterative method for linear discrete ill‐posed problems with application to image deblurring	2
Matrix‐free preconditioning for high‐orderH(curl) discretizations	2
Multistage mixed precision iterative refinement	2
ParaStieltjes: Parallel computation of Gauss quadrature rules using a Parareal‐like approach for the Stieltjes procedure	2
Spectral analysis of Pk Finite Element matrices in the case of Friedrichs–Keller triangulations via Generalized Locally Toeplitz technology	2
Fast solution of three‐dimensional elliptic equations with randomly generated jumping coefficients by using tensor‐structured preconditioners	2
On the matrices in B‐spline collocation methods for Riesz fractional equations and their spectral properties	2
Tensor method for optimal control problems constrained by fractional three‐dimensional elliptic operator with variable coefficients	2
Multicolor low‐rank preconditioner for general sparse linear systems	2
Flexible subspace iteration with moments for an effective contour integration‐based eigensolver	2
A fast spectral divide‐and‐conquer method for banded matrices	2
A tensor bidiagonalization method for higher‐order singular value decomposition with applications	2
Efficient space‐time adaptivity for parabolic evolution equations using wavelets in time and finite elements in space	2
Parallel performance of algebraic multigrid domain decomposition	2
Inertia‐based spectrum slicing for symmetric quadratic eigenvalue problems	2
A class of block alternating splitting implicit iteration methods for double saddle point linear systems	2
A two‐grid method for characteristic expanded mixed finite element solution of miscible displacement problem	2
Parameter estimation in the Hermitian and skew‐Hermitian splitting method using gradient iterations	2
Accelerating block coordinate descent for nonnegative tensor factorization	2
Computing f‐divergences and distances of high‐dimensional probability density functions	2
Toward efficient polynomial preconditioning for GMRES	2
Sketch‐and‐project methods for tensor linear systems	2
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver	2
A closed‐form multigrid smoothing factor for an additive Vanka‐type smoother applied to the Poisson equation	2
Robust tensor train component analysis	2
Spectral estimates for saddle point matrices arising in weak constraint four‐dimensional variational data assimilation	2
A continuation method for computing the multilinear PageRank	2
Compress‐and‐restart block Krylov subspace methods for Sylvester matrix equations	2
On finding strong approximate inverses for tensors	1
Dynamical low‐rank approximations of solutions to the Hamilton–Jacobi–Bellman equation	1
An algorithm for two‐variable rational interpolation suitable for matrix manipulations with the evaluation–interpolation method	1
Symmetric tensor decomposition by alternating gradient descent	1
CP decomposition for tensors via alternating least squares with QR decomposition	1
A two‐step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations	1
Numerical solution of singular Lyapunov equations	1
A perturbation‐based method for a parameter‐dependent nonlinear eigenvalue problem	1
Lower and upper bounds of condition number for Vandermonde‐wise matrices and method of fundamental solutions using pseudo radial‐lines	1
Analysis of optimal preconditioners for CutFEM	1
A fast and accurate algorithm for solving linear systems associated with a class of negative matrix	1
A Riemannian inexact Newton‐CG method for stochastic inverse singular value problems	1
A class of improved conjugate gradient methods for nonconvex unconstrained optimization	1
Cell‐by‐cell approximate Schur complement technique in preconditioning of meshfree discretized piezoelectric equations	1
Optimal polynomial smoothers for multigrid V‐cycles	1
A family of inertial‐based derivative‐free projection methods with a correction step for constrained nonlinear equations and their applications	1
A preconditioned implicit difference scheme for semilinear two‐dimensional time–space fractional Fokker–Planck equations	1
Spectral partitioning of large and sparse 3‐tensors using low‐rank tensor approximation	1
Selectable Set Randomized Kaczmarz	1
Improving GMRES(m) using an adaptive switching controller	1
A unified rational Krylov method for elliptic and parabolic fractional diffusion problems	1
Compact quasi‐Newton preconditioners for symmetric positive definite linear systems	1
Constructing the field of values of decomposable and general matrices using the ZNN based path following method	1
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Anderson acceleration of the modulus‐based matrix splitting algorithms for horizontal nonlinear complementarity systems	1
Algebraic multigrid for the nonlinear powerflow equations	1
Local convergence of alternating low‐rank optimization methods with overrelaxation	1
An efficient positive‐definite block‐preconditioned finite volume solver for two‐sided fractional diffusion equations on composite mesh	1
Stage‐parallel preconditioners for implicit Runge–Kutta methods of arbitrarily high order, linear problems	1
High relative accuracy with matrices of q‐integers	1
An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices	1
An extension of the Cayley transform method for a parameterized generalized inverse eigenvalue problem	1
Tensor rank bounds and explicit QTT representations for the inverses of circulant matrices	1
Anderson accelerated fixed‐point iteration for multilinear PageRank	1
A Newton‐type method for two‐dimensional eigenvalue problems	1
High‐order multigrid strategies for hybrid high‐order discretizations of elliptic equations	1
Nonnegative canonical tensor decomposition with linear constraints: nnCANDELINC	1
Characterization of the dissipative mappings and their application to perturbations of dissipative‐Hamiltonian systems	1
Algebraic multigrid preconditioning of the Hessian in optimization constrained by a partial differential equation	1
TTRISK: Tensor train decomposition algorithm for risk averse optimization	1
Preconditioning Navier–Stokes control using multilevel sequentially semiseparable matrix computations	1
Accurate and efficient computations with Wronskian matrices of Bernstein and related bases	1
Fast and stable modification of the Gauss–Newton method for low‐rank signal estimation	1
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Total positivity and accurate computations with Gram matrices of Said‐Ball bases	1
Inexact rational Krylov subspace method for eigenvalue problems	1

Corrigendum 2 to: A geometric view of Krylov subspace methods on singular systems	1
Two‐level preconditioning for Ridge Regression	1
Subspace method for multiparameter‐eigenvalue problems based on tensor‐train representations	1
Sine transform based preconditioning techniques for space fractional diffusion equations	1
Matrices associated to two conservative discretizations of Riesz fractional operators and related multigrid solvers	1
Stabilized asynchronous fast adaptive composite multigrid using additive damping	1
An iterative method for solving fractional diffusion‐wave equation involving the Caputo–Weyl fractional derivative	1
QZ algorithm with two‐sided generalized Rayleigh quotient shifts	1
Spectral analysis of the finite element matrices approximating 2D linearly elastic structures and multigrid proposals	1
A parameterized extended shift‐splitting preconditioner for nonsymmetric saddle point problems	1
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An efficient algorithm for solving the nonnegative tensor least squares problem	1
A trust‐region method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils	1
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On the numerical solution of ill‐conditioned linear systems by regularization and iteration	1
Two‐sided Rayleigh quotient iteration for periodic eigenvalue problems	1