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Nek5000
- Referenced in 137 articles
[sw08064]
- large eigenvalue problems are solved using matrix-free methods adopting the time-stepping Arnoldi approach...
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Expokit
- Referenced in 198 articles
[sw00258]
- sparse routines consists of matrix-free Krylov subspace projection methods (Arnoldi and Lanczos processes...
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BLOPEX
- Referenced in 27 articles
[sw04024]
- main features are: a matrix-free iterative method for computing several extreme eigenpairs of symmetric...
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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 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...
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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 matrix-free products), in which the linear residual...
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GPUTop
- Referenced in 10 articles
[sw23299]
- matrix-free conjugate gradient method using finite elements. Due to the unique requirements...
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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...
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Exa-Dune
- Referenced in 13 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...
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BoRiS
- Referenced in 3 articles
[sw06562]
- iterative solvers (Krylov subspace projection methods including matrix-free variants) and preconditioners are compared with...
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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...
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EVSL
- Referenced in 10 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...
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FastImp
- Referenced in 6 articles
[sw13145]
- method to discretize the surface formulation and uses a Pre-corrected FFT accelerated matrix-free...
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SPRAL
- Referenced in 3 articles
[sw13035]
- SSMFE: Sparse Symmetric Matrix-Free Eigensolver. Uses Jacobi-conjugate preconditioned gradients method...
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hyper.deal
- Referenced in 4 articles
[sw40666]
- equations. This work presents the efficient, matrix-free finite-element library hyper.deal for solving partial ... dimensions with high-order discontinuous Galerkin methods. It builds upon the low-dimensional finite-element ... provides new special-purpose highly optimized matrix-free functions exploiting domain decomposition as well...
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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...
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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...
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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...
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SKRYN
- Referenced in 3 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...
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ReHaG
- Referenced in 3 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...