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 is written as follows: #include <stdio.h> #include "lis_config.h" #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); lis_input_vector(b, argv); 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);

lis_solver_destroy(solver); lis_matrix_destroy(A); lis_vector_destroy(b); lis_vector_destroy(x);

lis_finalize();

return 0; }

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 Calculix

Lis (linear algebra library)

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