Sparse approximate inverse preconditioners on high performance GPU platforms
From MaRDI portal
Publication:520817
DOI10.1016/j.camwa.2015.12.008zbMath1359.65041OpenAlexW2290916141MaRDI QIDQ520817
Daniele Bertaccini, Salvatore Filippone
Publication date: 6 April 2017
Published in: Computers \ Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.12.008
Computational methods for sparse matrices (65F50) Theory of matrix inversion and generalized inverses (15A09) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical algorithms for specific classes of architectures (65Y10) Preconditioners for iterative methods (65F08)
Related Items (13)
Efficient approximation of functions of some large matrices by partial fraction expansions ⋮ Efficient Algebraic Multigrid Preconditioners on Clusters of GPUs ⋮ Fractional PDE constrained optimization: an optimize-then-discretize approach with L-BFGS and approximate inverse preconditioning ⋮ Exploiting spatial symmetries for solving Poisson's equation ⋮ A Class of Approximate Inverse Preconditioners Based on Krylov-Subspace Methods for Large-Scale Nonconvex Optimization ⋮ Efficient Preconditioner Updates for Semilinear Space–Time Fractional Reaction–Diffusion Equations ⋮ Computing Function of Large Matrices by a Preconditioned Rational Krylov Method ⋮ Geometrical inverse preconditioning for symmetric positive definite matrices ⋮ AMG Preconditioners for Linear Solvers towards Extreme Scale ⋮ Interpolating preconditioners for the solution of sequence of linear systems ⋮ Solving mixed classical and fractional partial differential equations using short-memory principle and approximate inverses ⋮ Efficient solution of time-fractional differential equations with a new adaptive multi-term discretization of the generalized Caputo-Dzherbashyan derivative ⋮ Optimized sparse approximate inverse smoothers for solving Laplacian linear systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New breakdown-free variant of AINV method for nonsymmetric positive definite matrices
- The effect of ordering on preconditioned conjugate gradients
- A comparative study of sparse approximate inverse preconditioners
- Approximate inverse preconditioning for shifted linear systems
- Efficient preconditioning for sequences of parametric complex symmetric linear systems
- Preconditioning techniques for large linear systems: A survey
- Updating preconditioners for nonlinear deblurring and denoising image restoration
- Towards a complete FEM-based simulation toolkit on GPUs: unstructured grid finite element geometric multigrid solvers with strong smoothers based on sparse approximate inverses
- Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method
- MLD2P4
- The university of Florida sparse matrix collection
- Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003
- Generating Approximate Inverse Preconditioners for Sparse Matrices Using CUDA and GPGPU
- Nonsymmetric Preconditioner Updates in Newton–Krylov Methods for Nonlinear Systems
- Decay Rates for Inverses of Band Matrices
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- A Comparison of Several Bandwidth and Profile Reduction Algorithms
- Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems
- A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems
- PSBLAS
- Orderings for Factorized Sparse Approximate Inverse Preconditioners
- Scalable Parallel Preconditioning with the Sparse Approximate Inverse of Triangular Matrices
- Ordering, Anisotropy, and Factored Sparse Approximate Inverses
- An Approximate Minimum Degree Ordering Algorithm
- A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method
- Spectral Analysis of a Preconditioned Iterative Method for the Convection‐Diffusion Equation
- Algorithm 837
This page was built for publication: Sparse approximate inverse preconditioners on high performance GPU platforms
