A FORTRAN subroutine called GRSIM subroutine is presented for the iterative solution of a set of non-symmetric linear equations, $Ax = b$, where the coefficient matrix $A$ is a sparse nearly symmetric structured $M$-matrix. These matrices occur repeatedly in the finite-difference solution of partial differential equations. The method solves non-symmetric systems of linear equations, but uses highly developed techniques for the solution of symmetric systems of linear equations. A general description of the method, which is based on particular class of regular splitting, is given. The GRSIM subroutine uses a regular splitting and the convergence is, therefore, guaranteed.
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References in zbMATH (referenced in 2 articles , 1 standard article )
Showing results 1 to 2 of 2.
- Yoon, Gangjoon; Min, Chohong: Comparison of eigenvalue ratios in artificial boundary perturbation and Jacobi preconditioning for solving Poisson equation (2017)
- Shah, A.A.: GRSIM: A FORTRAN subroutine for the solution of non-symmetric linear systems (2002)