• Source: Lis (linear algebra library)

Lis (Library of Iterative Solvers for linear systems, pronounced [lis]) is a scalable parallel software library to solve discretized linear equations and eigenvalue problems that mainly arise from the numerical solution of partial differential equations using iterative methods. Although it is designed for parallel computers, the library can be used without being conscious of parallel processing.




Features


Lis provides facilities for:

Automatic program configuration
NUMA aware hybrid implementation with MPI and OpenMP
Exchangeable dense and sparse matrix storage formats
Basic linear algebra operations for dense and sparse matrices
Parallel iterative methods for linear equations and eigenvalue problems
Parallel preconditioners for iterative methods
Quadruple precision floating point operations
Performance analysis
Command-line interface to solvers and benchmarks




Example


A C program to solve the linear equation



A
x
=
b


{\displaystyle Ax=b}

is written as follows:




System requirements


Installing Lis requires a C compiler. If you wish to use the Fortran interface, a Fortran compiler is needed, and the algebraic multigrid preconditioner requires a Fortran 90 compiler.
For parallel computing environments, an OpenMP or MPI library is necessary. Lis supports both the Matrix Market and Harwell-Boeing formats for importing and exporting user data.




Packages that use Lis


Gerris
OpenModelica
OpenGeoSys
SICOPOLIS
STOMP
Diablo
Kiva
Notus
Solis
GeMA
openCFS
numgeo
freeCappuccino
Andromeda
Yelmo




See also



List of numerical libraries
Conjugate gradient method
Biconjugate gradient stabilized method (BiCGSTAB)
Generalized minimal residual method (GMRES)
Eigenvalue algorithm
Lanczos algorithm
Arnoldi iteration
Krylov subspace
Multigrid method




References






External links


Official website
Development repository on GitHub
Prof. Jack Dongarra's freely available linear algebra software page
Netlib repository (Courtesy of Netlib Project)
Fedora packages (Courtesy of Fedora Project)
Gentoo packages (Courtesy of Gentoo Linux Project)
AUR packages (Courtesy of Arch Linux Community)
FreeBSD packages (Courtesy of FreeBSD Project)
Packages for macOS (Homebrew) (Courtesy of Homebrew Project)
Packages for macOS (MacPorts) (Courtesy of MacPorts Project)
Packages for Windows (Courtesy of WHPC Project)
Packages for Mingw-w64 (Courtesy of Mingw-w64 Project)
Spack packages (Courtesy of Lawrence Livermore National Laboratory)

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