Preconditioners
A few preconditioners for iterative solvers.
Science Score: 57.0%
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Repository
A few preconditioners for iterative solvers.
Basic Info
- Host: GitHub
- Owner: JuliaLinearAlgebra
- License: other
- Language: Julia
- Default Branch: master
- Homepage: https://julialinearalgebra.github.io/Preconditioners.jl/
- Size: 240 KB
Statistics
- Stars: 51
- Watchers: 2
- Forks: 10
- Open Issues: 4
- Releases: 14
Metadata Files
README.md
Preconditioners
Examples
```julia
A = sprand(1000, 1000, 0.01) A = A + A' + 30I
Diagonal preconditioner
p = DiagonalPreconditioner(A)
Incomplete Cholesky preconditioner with cut-off level 2
p = CholeskyPreconditioner(A, 2)
Algebraic multigrid preconditioner (AMG)
Ruge-Stuben variant
p = AMGPreconditioner{RugeStuben}(A)
Smoothed aggregation
p = AMGPreconditioner{SmoothedAggregation}(A)
Solve the system of equations
b = A*ones(1000) x = cg(A, b, Pl=p)
A = sprand(1000, 1000, 0.01) A = A + A' + 30I
Updates the preconditioner with the new matrix A
UpdatePreconditioner!(p, A)
```
Advanced AMG preconditioners
More advanced AMG preconditioners are also possible by building the MultiLevel struct that AMGPreconditioner wraps yourself using the package AMG.jl.
Citing Preconditioners.jl
If you use Preconditioners for your own research, please consider citing the following publication: Mohamed Tarek. Preconditioners.jl: A Flexible and Extensible Framework for Preconditioning in Iterative Solvers. 2023. doi: 10.13140/RG.2.2.26655.02721.
@article{MohamedTarekPreconditionersjl,
doi = {10.13140/RG.2.2.26655.02721},
url = {https://rgdoi.net/10.13140/RG.2.2.26655.02721},
author = {Tarek, Mohamed},
language = {en},
title = {Preconditioners.jl: A Flexible and Extensible Framework for Preconditioning in Iterative Solvers},
year = {2023}
}
Owner
- Name: JuliaLinearAlgebra
- Login: JuliaLinearAlgebra
- Kind: organization
- Website: https://julialinearalgebra.org
- Repositories: 47
- Profile: https://github.com/JuliaLinearAlgebra
A collection of linear algebra packages for the Julia Programming Language.
Citation (CITATION.bib)
@article{MohamedTarekPreconditionersjl,
doi = {10.13140/RG.2.2.26655.02721},
url = {https://rgdoi.net/10.13140/RG.2.2.26655.02721},
author = {Tarek, Mohamed and ChatGPT},
language = {en},
title = {Preconditioners.jl: A Flexible and Extensible Framework for Preconditioning in Iterative Solvers},
year = {2023}
}
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| mohamed82008 | m****y@y****m | 4 |
| Jeff Fessler | J****r | 3 |
| Fredrik Ekre | e****k@g****m | 3 |
| dependabot[bot] | 4****] | 2 |
| Hendrik Ranocha | r****a | 2 |
| Julia TagBot | 5****t | 1 |
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- Total dependent packages: 9
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- Total versions: 14
juliahub.com: Preconditioners
A few preconditioners for iterative solvers.
- Homepage: https://julialinearalgebra.github.io/Preconditioners.jl/
- Documentation: https://docs.juliahub.com/General/Preconditioners/stable/
- License: MIT
-
Latest release: 0.6.1
published over 2 years ago
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