Lis (linear algebra library)

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

A C program to solve the linear equation $Ax=b$ is written as follows:

1. include
2. include "lis_config.h"
3. include "lis.h"

LIS_INT main(LIS_INT argc, char* argv[])

{

LIS_MATRIX A;

LIS_VECTOR b, x;

LIS_SOLVER solver;

LIS_INT iter;

double time;

lis_initialize(&argc, &argv);

lis_matrix_create(LIS_COMM_WORLD, &A);

lis_vector_create(LIS_COMM_WORLD, &b);

lis_vector_create(LIS_COMM_WORLD, &x);

lis_input_matrix(A, argv[1]);

lis_input_vector(b, argv[2]);

lis_vector_duplicate(A, &x);

lis_solver_create(&solver);

lis_solver_set_optionC(solver);

lis_solve(A, b, x, solver);

lis_solver_get_iter(solver, &iter);

lis_solver_get_time(solver, &time);

printf("number of iterations = %d\n", iter);

printf("elapsed time = %e\n", time);

lis_output_vector(x, LIS_FMT_MM, argv[3]);

lis_solver_destroy(solver);

lis_matrix_destroy(A);

lis_vector_destroy(b);

lis_vector_destroy(x);

lis_finalize();

return 0;

}

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.{{Cite book

|author1=Akihiro Fujii |author2=Akira Nishida |author3=Yoshio Oyanagi |name-list-style=amp |year=2005

|chapter=Evaluation of Parallel Aggregate Creation Orders : Smoothed Aggregation Algebraic Multigrid Method

|title=High Performance Computational Science and Engineering

|pages=99–122

|publisher=Springer

|doi=10.1007/0-387-24049-7_6

|isbn=1-4419-3684-X

|s2cid=118053459 }}

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.

• Gerris
• OpenModelica
• [http://www.opengeosys.org/ OpenGeoSys]
• [http://www.sicopolis.net/ SICOPOLIS]
• [http://stomp.pnnl.gov/ STOMP]
• [http://dl.acm.org/citation.cfm?id=2634291 Diablo]
• [https://kiva.readthedocs.io/en/latest/ Kiva]
• [https://notus-cfd.org/ Notus]
• [https://www.hamady.org/solis.html Solis]
• [https://web.tecgraf.puc-rio.br/gema/ GeMA]
• [https://www.opencfs.org/ openCFS]
• [https://www.numgeo.de/ numgeo]
• [https://github.com/nikola-m/freeCappuccino freeCappuccino]
• [https://github.com/WildSmilodon/Andromeda Andromeda]
• [https://palma-ice.github.io/yelmo-docs/ Yelmo]

{{Portal|Free and open-source software}}

• 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

{{reflist}}

• {{Official website|https://www.ssisc.org/lis/index.en.html}}
• [https://github.com/anishida/lis/tree/develop Development repository on GitHub]
• [http://www.netlib.org/utk/people/JackDongarra/la-sw.html Prof. Jack Dongarra's freely available linear algebra software page]
• [http://www.netlib.org/linalg/lis Netlib repository] (Courtesy of Netlib Project)

• [https://rpms.remirepo.net/rpmphp/zoom.php?rpm=lis Fedora packages] (Courtesy of Fedora Project)
• [http://packages.gentoo.org/package/sci-libs/lis Gentoo packages] (Courtesy of Gentoo Linux Project)
• [https://aur.archlinux.org/packages/lis/ AUR packages] (Courtesy of Arch Linux Community)
• [https://codeberg.org/FreeBSD/freebsd-ports/src/math/lis FreeBSD packages] (Courtesy of FreeBSD Project)
• [https://github.com/brewsci/homebrew-science/blob/master/Formula/lis.rb Packages for macOS (Homebrew)] (Courtesy of Homebrew Project)
• [https://ports.macports.org/port/lis/summary Packages for macOS (MacPorts)] (Courtesy of MacPorts Project)
• [http://sourceforge.net/projects/whpc/files/ Packages for Windows] (Courtesy of WHPC Project)
• [https://github.com/msys2/MINGW-packages/tree/master/mingw-w64-lis Packages for Mingw-w64] (Courtesy of Mingw-w64 Project)
• [https://github.com/spack/spack/blob/develop/var/spack/repos/builtin/packages/lis/package.py Spack packages] (Courtesy of Lawrence Livermore National Laboratory)

{{Numerical linear algebra}}

Category:Numerical libraries

Category:Numerical linear algebra

Category:Scientific simulation software

Category:C (programming language) libraries

Category:Fortran libraries

Category:Free simulation software

Category:Free software programmed in C

Category:Free software programmed in Fortran