
Nek5000
 Referenced in 137 articles
[sw08064]
 large eigenvalue problems are solved using matrixfree methods adopting the timestepping Arnoldi approach...

Expokit
 Referenced in 198 articles
[sw00258]
 sparse routines consists of matrixfree Krylov subspace projection methods (Arnoldi and Lanczos processes...

BLOPEX
 Referenced in 27 articles
[sw04024]
 main features are: a matrixfree iterative method for computing several extreme eigenpairs of symmetric...

LSTRS
 Referenced in 32 articles
[sw04729]
 quadratic problems with one norm constraint. The method is based on a reformulation ... problem at each step. LSTRS relies on matrixvector products only ... computations. In the MATLAB implementation, the Hessian matrix of the quadratic objective function ... implementation preserves the matrixfree nature of the method. A description of the LSTRS method...

CVODE
 Referenced in 62 articles
[sw04947]
 date). When using a Krylov method as the linear solver, the iteration is an Inexact ... iteration, using the current Jacobian (through matrixfree products), in which the linear residual...

GPUTop
 Referenced in 10 articles
[sw23299]
 matrixfree conjugate gradient method using finite elements. Due to the unique requirements...

MSS
 Referenced in 6 articles
[sw08530]
 recently proposed stable fast direct method for solving large shifted BFGS systems of equations ... MATLAB im plementation is a matrixfree iterative method for largescale optimization. Numerical experiments...

ExaDune
 Referenced in 13 articles
[sw32962]
 oriented numerical methods have included GPUbased sparse approximate inverses, matrixfree sumfactorisation ... Galerkin discretisations as well as partially matrixfree preconditioners. On top of that, additional scalability ... parallelism offered by multiscale and uncertainty quantification methods where we have focused on the adaptive...

BoRiS
 Referenced in 3 articles
[sw06562]
 iterative solvers (Krylov subspace projection methods including matrixfree variants) and preconditioners are compared with...

pTatin3D
 Referenced in 9 articles
[sw27642]
 driven by buoyancy and processes at the free surface. Geodynamic phenomena such as subduction ... solution methods. We present pTatin3D, a geodynamics modeling package utilising the materialpointmethod ... composition, combined with a multigrid finiteelement method to solve heterogeneous, incompressible viscoplastic Stokes ... pTatin3D’s multigrid preconditioner. Our matrixfree geometric multigrid preconditioner trades flops for memory bandwidth...

EVSL
 Referenced in 10 articles
[sw27222]
 implemented and are coupled with Krylov subspace methods and the subspace iteration algorithm ... matrixfree modes, whereby the user can supply his/her own functions to perform matrixvector ... discusses performance issues for the various methods...

FastImp
 Referenced in 6 articles
[sw13145]
 method to discretize the surface formulation and uses a Precorrected FFT accelerated matrixfree...

SPRAL
 Referenced in 3 articles
[sw13035]
 SSMFE: Sparse Symmetric MatrixFree Eigensolver. Uses Jacobiconjugate preconditioned gradients method...

hyper.deal
 Referenced in 4 articles
[sw40666]
 equations. This work presents the efficient, matrixfree finiteelement library hyper.deal for solving partial ... dimensions with highorder discontinuous Galerkin methods. It builds upon the lowdimensional finiteelement ... provides new specialpurpose highly optimized matrixfree functions exploiting domain decomposition as well...

DUNEFEMDG
 Referenced in 2 articles
[sw37061]
 discuss methods for solving stationary problems as well as a matrixfree implementation for time ... spatial discretization a wide range of DG methods are implemented ranging from the standard interior...

trlib
 Referenced in 3 articles
[sw17722]
 trlib: A vectorfree implementation of the GLTR method for iterative solution of the trust ... variant of Gould’s Generalized Lanczos method (Gould et al. in SIAM ... Krylov subspaces. A vector and matrixfree reverse communication interface allows the use of most ... trust region problem frequently arises in sequential methods for nonlinear optimization. In this implementation...

Dendro
 Referenced in 7 articles
[sw29068]
 Dendro: Parallel algorithms for multigrid and AMR methods on 2:1 balanced octrees. In this ... multigrid sweeps. Also, we describe matrixfree implementations for the discretized PDE operators...

SKRYN
 Referenced in 3 articles
[sw16771]
 SKRYN: a fast semismoothKrylovNewton method for controlling Ising spin systems. The modeling ... package ReHaG allows to compute a real matrix representation of the master equation. The MATLAB ... strategy resulting in a globalized semismooth matrixfree KrylovNewton scheme. To discretize the real...

ReHaG
 Referenced in 3 articles
[sw16772]
 SKRYN: a fast semismoothKrylovNewton method for controlling Ising spin systems. The modeling ... package ReHaG allows to compute a real matrix representation of the master equation. The MATLAB ... strategy resulting in a globalized semismooth matrixfree KrylovNewton scheme. To discretize the real...