The Parallel Iterative Methods (PIM) package for the solution of systems of linear equations on para

We present a collection of public-domain Fortran 77 routines for the solution of systems of linear equations using a variety of iterative methods. The routines implement methods which have been modified for their efficient use on parallel architectures with either shared or distributed memory. PIM was designed to be portable across different machines. Results are presented for a variety of parallel computers.

[1]  Gene H. Golub,et al.  Matrix computations , 1983 .

[2]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .

[3]  \nspcg User's Guide, Version 1.0: a Package for Solving Large Sparse Linear Systems by Various Iterative Methods." Report Numerical Results an Experiment Was Conducted Comparing times on a Cray X-mp Computer for Computing the Multiple Rst Order Linear Recursion , 1988 .

[4]  P. Sonneveld CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems , 1989 .

[5]  Jack J. Dongarra,et al.  An extended set of FORTRAN basic linear algebra subprograms , 1988, TOMS.

[6]  Stanley C. Eisenstat A Note on the Generalized Conjugate Gradient Method , 1983 .

[7]  Rudnei Dias da Cunha,et al.  A study of iterative methods for the solution of systems of linear equations on transputer networks , 1992 .

[8]  Roland W. Freund,et al.  A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems , 1993, SIAM J. Sci. Comput..

[9]  R. Fletcher Conjugate gradient methods for indefinite systems , 1976 .

[10]  Henk A. van der Vorst,et al.  Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems , 1992, SIAM J. Sci. Comput..

[11]  E. F. DAzevedo,et al.  Reducing communication costs in the conjugate gradient algorithm on distributed memory multiprocessors , 1992 .

[12]  Tim Hopkins,et al.  Parallel Preconditioned Conjugate-Gradients Methods on Transputer Networks , 1993 .

[13]  M. Hestenes,et al.  Methods of conjugate gradients for solving linear systems , 1952 .

[14]  Richard Barrett,et al.  Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods , 1994, Other Titles in Applied Mathematics.

[15]  E. J. Craig The N‐Step Iteration Procedures , 1955 .