• Nek5000

  • Referenced in 70 articles [sw08064]
  • large eigenvalue problems are solved using matrix-free methods adopting the time-stepping Arnoldi approach...
  • Expokit

  • Referenced in 180 articles [sw00258]
  • sparse routines consists of matrix-free Krylov subspace projection methods (Arnoldi and Lanczos processes...
  • BLOPEX

  • Referenced in 27 articles [sw04024]
  • main features are: a matrix-free iterative method for computing several extreme eigenpairs of symmetric...
  • LSTRS

  • Referenced in 30 articles [sw04729]
  • quadratic problems with one norm constraint. The method is based on a reformulation ... problem at each step. LSTRS relies on matrix-vector products only ... computations. In the MATLAB implementation, the Hessian matrix of the quadratic objective function ... implementation preserves the matrix-free nature of the method. A description of the LSTRS method...
  • CVODE

  • Referenced in 56 articles [sw04947]
  • date). When using a Krylov method as the linear solver, the iteration is an Inexact ... iteration, using the current Jacobian (through matrix-free products), in which the linear residual...
  • GPUTop

  • Referenced in 9 articles [sw23299]
  • matrix-free 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 matrix-free iterative method for large-scale optimization. Numerical experiments...
  • Exa-Dune

  • Referenced in 11 articles [sw32962]
  • oriented numerical methods have included GPU-based sparse approximate inverses, matrix-free sum-factorisation ... Galerkin discretisations as well as partially matrix-free 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 matrix-free 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 material-point-method ... composition, combined with a multigrid finite-element method to solve heterogeneous, incompressible visco-plastic Stokes ... pTatin3D’s multigrid preconditioner. Our matrix-free geometric multigrid preconditioner trades flops for memory bandwidth...
  • SPRAL

  • Referenced in 3 articles [sw13035]
  • SSMFE: Sparse Symmetric Matrix-Free Eigensolver. Uses Jacobi-conjugate preconditioned gradients method...
  • EVSL

  • Referenced in 5 articles [sw27222]
  • implemented and are coupled with Krylov subspace methods and the subspace iteration algorithm ... matrix-free modes, whereby the user can supply his/her own functions to perform matrix-vector ... discusses performance issues for the various methods...
  • FastImp

  • Referenced in 5 articles [sw13145]
  • method to discretize the surface formulation and uses a Pre-corrected FFT accelerated matrix-free...
  • DUNE-FEM-DG

  • Referenced in 2 articles [sw37061]
  • discuss methods for solving stationary problems as well as a matrix-free 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 vector-free 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 matrix-free 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 matrix-free implementations for the discretized PDE operators...
  • SKRYN

  • Referenced in 2 articles [sw16771]
  • SKRYN: a fast semismooth-Krylov-Newton 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 matrix-free Krylov-Newton scheme. To discretize the real...
  • ReHaG

  • Referenced in 2 articles [sw16772]
  • SKRYN: a fast semismooth-Krylov-Newton 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 matrix-free Krylov-Newton scheme. To discretize the real...
  • ADOL-C

  • Referenced in 242 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++. We present...