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- ***************************************************************************
- * All the software contained in this library is protected by copyright. *
- * Permission to use, copy, modify, and distribute this software for any *
- * purpose without fee is hereby granted, provided that this entire notice *
- * is included in all copies of any software which is or includes a copy *
- * or modification of this software and in all copies of the supporting *
- * documentation for such software. *
- ***************************************************************************
- * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED *
- * WARRANTY. IN NO EVENT, NEITHER THE AUTHORS, NOR THE PUBLISHER, NOR ANY *
- * MEMBER OF THE EDITORIAL BOARD OF THE JOURNAL "NUMERICAL ALGORITHMS", *
- * NOR ITS EDITOR-IN-CHIEF, BE LIABLE FOR ANY ERROR IN THE SOFTWARE, ANY *
- * MISUSE OF IT OR ANY DAMAGE ARISING OUT OF ITS USE. THE ENTIRE RISK OF *
- * USING THE SOFTWARE LIES WITH THE PARTY DOING SO. *
- ***************************************************************************
- * ANY USE OF THE SOFTWARE CONSTITUTES ACCEPTANCE OF THE TERMS OF THE *
- * ABOVE STATEMENT. *
- ***************************************************************************
- AUTHORS:
- S. Duminil, Ph. Marion, H. Sadok
- University of Littoral Calais, France
- E-mail: duminil@lmpa.univ-littoral.fr, sadok@lmpa.univ-littoral.fr,
- marion@lmpa.univ-littoral.fr
-
- Mohammed Heyouni
- University Mohammed Premier Oujda, Maroc
- E-mail: mohammed.heyouni@gmail.com
- REFERENCES:
-
- - 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
- =============================================================================
- HOW TO INSTALL
- =============================================================================
- 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
- =============================================================================
- HOW TO COMPILE
- =============================================================================
- - 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
- =============================================================================
- 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
- =============================================================================
- DELETE FORTRAN FILES
- =============================================================================
- - make clean
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