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//A simple demo for the MUMPS interface, with the return of the schur complement
//to run it, You just have to execute the instruction within Scilab
// exec sparse_example.sce;
//*********************** MATRIX INITIALISATION ***********************//
n=10;
mat=sprand(n,n,.5)+speye(n,n);
size_schur=3;
// Right Hand side setting
RHS = ones(n,1);
//****************** Initialisation of the Scilab MUMPS structure ******************//
timer();
[id]=initmumps();
//Here Job=-1, the next call will only initialise the C and Fortran structure
[id]=dmumps(id);
id.RHS=RHS;
id.VAR_SCHUR = [n-size_schur+1:n];
//******************** CALL TO MUMPS FOR RESOLUTION ON INTERNAL PROBLEM ************//
job=6;
id.JOB=job;
[id]=dmumps(id,mat);
// verification of the solution
solution=id.SOL;
norm1=norm(mat(1:n-size_schur,1:n-size_schur)*solution(1:n-size_schur) - ones(n-size_schur,1),'inf');
if norm1> 10^(-9) then
write(%io(2),'WARNING: solution on internal problem may not be OK');
else
write(%io(2),'SOLUTION on internal problem ok');
end
//******************* TRY REDUCED RHS FUNCTIONALITY **************//
id.JOB=3;
id.ICNTL(26)=1;
// Forward
[id]=dmumps(id,mat);
// Solve the problem on the Schur complement
id.REDRHS=id.SCHUR \ id.REDRHS;
// and reinject it to MUMPS
id.ICNTL(26)=2;
[id]=dmumps(id,mat);
solution=id.SOL;
norm1=norm(mat*solution-RHS,'inf')
if norm1> 10^(-9) then
write(%io(2),'WARNING: solution on complete problem may not be OK');
else
write(%io(2),'SOLUTION on complete problem ok');
end
//****************** DESTRUCTION OF THE MUMPS INSTANCE ******************//
job=-2;
id.JOB=job;
[id]=dmumps(id);
t=timer()
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