cmrh_NA

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AUTHORS:
S. Duminil, Ph. Marion, H. Sadok
University of Littoral Calais, France
E-mail: duminil@lmpa.univ-littoral.fr, sadok@lmpa.univ-littoral.fr

Mohammed Heyouni
University Mohammed Premier Oujda, Maroc
E-mail: mohammed.heyouni@gmail.com

REFERENCE:

- CMRH: A new method for solving non symmetric linear systems based on the Hessenberg reduction algorithms, Numer. Algorithms, 20, (1999), pp 303-321
- A new implementation of the CMRH method for solving dense linear systems,
J. Comput. Appl. Math., 213 (2008), pp 387-399
- A parallel implementation of the CMRH method for dense linear systems,
Numer. Algorithms, 63 (2013), 127-142

SOFWARE REVISION DATE:
v1.0, January 2013

SOFTWARE LANGUAGE:
Fortran 90 and MATLAB 8.0 (R2012b)

=============================================================================
SOFTWARE
=============================================================================

This package provides a set of Fortran and Matlab functions to solve linear systems using CMRH method.

=============================================================================
PACKAGE
=============================================================================

The main directory contains the following files

* README.txt : This file

* Fortran 90 subroutines :

-makefile : to install and config all fortran programs
-inputfile.dat : In this file, we choose the size of system, the choice of matrix, the choice of solution and the print version
-initialisation.f90 : This file creates inputfile.dat
-CMRH.f90 : CMRH program
-PCMRH.f90 : Parallel CMRH program
-helsing.f90 : Matrix test stored in matrixfile.dat
-rbf.f90 : Matrix test stored in matrixfile.dat
-rand0.f90 : Create a rand vector stored in rand0.dat
-vecrand.f90 : Create two rand vectors stored in vecrand.dat
-randvectors.f90 : Contains some subroutines

* Matlab programs :
-main.m : main program
-CMRH.m : CMRH function
-matrice.m : To create some matrix example
-solution.m : To create some solution vector example
-mmread.m : from matrix market. To store matrix market file in A
-helsing.m : Matrix test
-gemat11.mtx : A matrix market example


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HOW TO INSTALL
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When the archive file containing the package is uncompressed, it creates a directory named CMRHprograms.
The directory fortran contains the fortran codes.
The directory matlab contains the matlab codes.

* Fortran 90 programs :
- enter to fortran directory
- Open makefile
- Config fortran, mpi, blas and lapack compilers

* Matlab programs :
- enter to matlab directory
- Run main.m

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HOW TO COMPILE
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- make all (to config all programs) or make allseq (to config only sequential programs)
- ./initialisation (to config inputfile.dat)
- ./CMRH (to run CMRH program)
- mprun -n (nb of proc) ./PCMRH (to run PCMRH program)


=============================================================================
NUMERICAL TESTS
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FORTRAN PROGRAMS :
- Run ./initialisation to config the matrix :
-helsing : Matrix arising from Helsing paper (choose 3)
-rbf : Matrix arising from radial basis functions (choose 4)
-Own matrix : save it in matrixfile.dat (choose 5)
- Run ./CMRH or mprun -n (nb of proc) ./PCMRH

MATLAB PROGRAMS :
- Run main.m
- Choose the matrix example.
- For matrix market test, choose 6 and enter the file name .mtx


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DELETE FORTRAN FILES
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- make clean