Stable release | 2.1.3
/ June 14, 2023 |
---|---|
Operating system | Cross-platform |
Available in | C, Fortran |
Type | Software library |
License | New BSD License |
Website | www.ssisc.org/lis/ |
Lis (Library of Iterative Solvers for linear systems, pronounced [lis]) is a scalable parallel software library for solving discretized linear equations and eigenvalue problems that mainly arise in the numerical solution of partial differential equations by using iterative methods.[1][2][3] Although it is designed for parallel computers, the library can be used without being conscious of parallel processing.
Lis provides facilities for:
A C program to solve the linear equation [math]\displaystyle{ Ax=b }[/math] 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[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; }
The installation of Lis requires a C compiler. The Fortran interface requires a Fortran compiler, and the algebraic multigrid preconditioner requires a Fortran 90 compiler.[4] For parallel computing environments, an OpenMP or MPI library is required. Both the Matrix Market and Harwell-Boeing formats are supported to import and export user data.
Original source: https://en.wikipedia.org/wiki/Lis (linear algebra library).
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