int main(int argc,char **argv)
{
Mat A; /* problem matrix */
EPS eps; /* eigenproblem solver context */
ST st;
PetscReal tol=PetscMax(1000*PETSC_MACHINE_EPSILON,1e-9);
PetscScalar value[3];
PetscInt n=30,i,Istart,Iend,col[3];
PetscBool FirstBlock=PETSC_FALSE,LastBlock=PETSC_FALSE,flg;
PetscErrorCode ierr;
SlepcInitialize(&argc,&argv,(char*)0,help);
ierr = PetscOptionsGetInt(NULL,"-n",&n,NULL);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian Eigenproblem, n=%D\n\n",n);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Compute the operator matrix that defines the eigensystem, Ax=kx
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr);
ierr = MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n);CHKERRQ(ierr);
ierr = MatSetFromOptions(A);CHKERRQ(ierr);
ierr = MatSetUp(A);CHKERRQ(ierr);
ierr = MatGetOwnershipRange(A,&Istart,&Iend);CHKERRQ(ierr);
if (Istart==0) FirstBlock=PETSC_TRUE;
if (Iend==n) LastBlock=PETSC_TRUE;
value[0]=-1.0; value[1]=2.0; value[2]=-1.0;
for (i=(FirstBlock? Istart+1: Istart); i<(LastBlock? Iend-1: Iend); i++) {
col[0]=i-1; col[1]=i; col[2]=i+1;
ierr = MatSetValues(A,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr);
}
if (LastBlock) {
i=n-1; col[0]=n-2; col[1]=n-1;
ierr = MatSetValues(A,1,&i,2,col,value,INSERT_VALUES);CHKERRQ(ierr);
}
if (FirstBlock) {
i=0; col[0]=0; col[1]=1; value[0]=2.0; value[1]=-1.0;
ierr = MatSetValues(A,1,&i,2,col,value,INSERT_VALUES);CHKERRQ(ierr);
}
ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create the eigensolver
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSCreate(PETSC_COMM_WORLD,&eps);CHKERRQ(ierr);
ierr = EPSSetOperators(eps,A,NULL);CHKERRQ(ierr);
ierr = EPSSetProblemType(eps,EPS_HEP);CHKERRQ(ierr);
ierr = EPSSetTolerances(eps,tol,PETSC_DEFAULT);CHKERRQ(ierr);
ierr = EPSSetFromOptions(eps);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve for largest eigenvalues
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSSetWhichEigenpairs(eps,EPS_LARGEST_REAL);CHKERRQ(ierr);
ierr = EPSSolve(eps);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," - - - Largest eigenvalues - - -\n");CHKERRQ(ierr);
ierr = EPSPrintSolution(eps,NULL);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve for smallest eigenvalues
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL);CHKERRQ(ierr);
ierr = EPSSolve(eps);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," - - - Smallest eigenvalues - - -\n");CHKERRQ(ierr);
ierr = EPSPrintSolution(eps,NULL);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve for interior eigenvalues (target=2.1)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSSetWhichEigenpairs(eps,EPS_TARGET_MAGNITUDE);CHKERRQ(ierr);
ierr = EPSSetTarget(eps,2.1);CHKERRQ(ierr);
ierr = PetscObjectTypeCompare((PetscObject)eps,EPSLANCZOS,&flg);CHKERRQ(ierr);
if (flg) {
ierr = EPSGetST(eps,&st);CHKERRQ(ierr);
ierr = STSetType(st,STSINVERT);CHKERRQ(ierr);
} else {
ierr = PetscObjectTypeCompare((PetscObject)eps,EPSKRYLOVSCHUR,&flg);CHKERRQ(ierr);
if (!flg) {
ierr = PetscObjectTypeCompare((PetscObject)eps,EPSARNOLDI,&flg);CHKERRQ(ierr);
}
if (flg) {
ierr = EPSSetExtraction(eps,EPS_HARMONIC);CHKERRQ(ierr);
}
}
ierr = EPSSolve(eps);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," - - - Interior eigenvalues - - -\n");CHKERRQ(ierr);
ierr = EPSPrintSolution(eps,NULL);CHKERRQ(ierr);
ierr = EPSDestroy(&eps);CHKERRQ(ierr);
ierr = MatDestroy(&A);CHKERRQ(ierr);
ierr = SlepcFinalize();
return 0;
}
int main(int argc,char **argv)
{
Mat A; /* operator matrix */
EPS eps; /* eigenproblem solver context */
EPSType type;
PetscMPIInt nproc, myproc;
PetscInt nev;
PetscErrorCode ierr;
SlepcInitialize(&argc, &argv, (char*)0, 0);
ierr = MPI_Comm_size(PETSC_COMM_WORLD,&nproc); CHKERRQ(ierr);
ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&myproc); CHKERRQ(ierr);
int L = 8;
ierr = PetscOptionsGetInt(NULL,"-L", &L, NULL); CHKERRQ(ierr);
PetscInt N_global = 1 << L;
PetscInt N_local = N_global / nproc;
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Compute the operator matrix that defines the eigensystem, Ax=kx
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
model m;
m.comm = PETSC_COMM_WORLD;
m.L = L;
m.buffer = new double[N_local];
if (m.buffer == 0) {
MPI_Abort(MPI_COMM_WORLD, 4);
}
for (int i=0; i<L; ++i) {
m.lattice.push_back(std::make_pair(i, (i+1)%L));
}
ierr = MatCreateShell(PETSC_COMM_WORLD, N_local, N_local, N_global, N_global, &m, &A); CHKERRQ(ierr);
ierr = MatSetFromOptions(A); CHKERRQ(ierr);
ierr = MatShellSetOperation(A,MATOP_MULT,(void(*)())MatMult_myMat); CHKERRQ(ierr);
ierr = MatShellSetOperation(A,MATOP_MULT_TRANSPOSE,(void(*)())MatMult_myMat); CHKERRQ(ierr);
ierr = MatShellSetOperation(A,MATOP_GET_DIAGONAL,(void(*)())MatGetDiagonal_myMat); CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create the eigensolver and set various options
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
/*
Create eigensolver context
*/
ierr = EPSCreate(PETSC_COMM_WORLD,&eps); CHKERRQ(ierr);
/*
Set operators. In this case, it is a standard eigenvalue problem
*/
ierr = EPSSetOperators(eps,A,NULL); CHKERRQ(ierr);
ierr = EPSSetProblemType(eps,EPS_HEP); CHKERRQ(ierr);
ierr = EPSSetDimensions(eps, 5, 100, 100); CHKERRQ(ierr);
ierr = EPSSetTolerances(eps, (PetscScalar) 1e-1, (PetscInt) 100); CHKERRQ(ierr);
//Vec v0;
//MatGetVecs(A, &v0, NULL);
//VecSet(v0,1.0);
//EPSSetInitialSpace(eps,1,&v0);
/*
Set solver parameters at runtime
*/
ierr = EPSSetFromOptions(eps); CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve the eigensystem
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSSolve(eps);CHKERRQ(ierr);
/*
Optional: Get some information from the solver and display it
*/
ierr = EPSGetType(eps,&type); CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type); CHKERRQ(ierr);
ierr = EPSGetDimensions(eps,&nev,NULL,NULL); CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %D\n",nev); CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Display solution and clean up
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSPrintSolution(eps,NULL); CHKERRQ(ierr);
ierr = EPSDestroy(&eps); CHKERRQ(ierr);
ierr = MatDestroy(&A); CHKERRQ(ierr);
ierr = SlepcFinalize();
return 0;
}
int main(int argc,char **argv)
{
Vec v0; /* initial vector */
Mat A; /* operator matrix */
EPS eps; /* eigenproblem solver context */
EPSType type;
PetscReal tol=1000*PETSC_MACHINE_EPSILON;
PetscInt N,m=15,nev;
PetscScalar origin=0.0;
PetscErrorCode ierr;
SlepcInitialize(&argc,&argv,(char*)0,help);
ierr = PetscOptionsGetInt(NULL,"-m",&m,NULL);CHKERRQ(ierr);
N = m*(m+1)/2;
ierr = PetscPrintf(PETSC_COMM_WORLD,"\nMarkov Model, N=%D (m=%D)\n\n",N,m);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Compute the operator matrix that defines the eigensystem, Ax=kx
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr);
ierr = MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);CHKERRQ(ierr);
ierr = MatSetFromOptions(A);CHKERRQ(ierr);
ierr = MatSetUp(A);CHKERRQ(ierr);
ierr = MatMarkovModel(m,A);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create the eigensolver and set various options
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
/*
Create eigensolver context
*/
ierr = EPSCreate(PETSC_COMM_WORLD,&eps);CHKERRQ(ierr);
/*
Set operators. In this case, it is a standard eigenvalue problem
*/
ierr = EPSSetOperators(eps,A,NULL);CHKERRQ(ierr);
ierr = EPSSetProblemType(eps,EPS_NHEP);CHKERRQ(ierr);
ierr = EPSSetTolerances(eps,tol,PETSC_DEFAULT);CHKERRQ(ierr);
/*
Set the custom comparing routine in order to obtain the eigenvalues
closest to the target on the right only
*/
ierr = EPSSetEigenvalueComparison(eps,MyEigenSort,&origin);CHKERRQ(ierr);
/*
Set solver parameters at runtime
*/
ierr = EPSSetFromOptions(eps);CHKERRQ(ierr);
/*
Set the initial vector. This is optional, if not done the initial
vector is set to random values
*/
ierr = MatGetVecs(A,&v0,NULL);CHKERRQ(ierr);
ierr = VecSet(v0,1.0);CHKERRQ(ierr);
ierr = EPSSetInitialSpace(eps,1,&v0);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve the eigensystem
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSSolve(eps);CHKERRQ(ierr);
/*
Optional: Get some information from the solver and display it
*/
ierr = EPSGetType(eps,&type);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type);CHKERRQ(ierr);
ierr = EPSGetDimensions(eps,&nev,NULL,NULL);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %D\n",nev);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Display solution and clean up
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSPrintSolution(eps,NULL);CHKERRQ(ierr);
ierr = EPSDestroy(&eps);CHKERRQ(ierr);
ierr = MatDestroy(&A);CHKERRQ(ierr);
ierr = VecDestroy(&v0);CHKERRQ(ierr);
ierr = SlepcFinalize();
return 0;
}
int main(int argc,char **argv)
{
Mat A1,A2; /* problem matrices */
EPS eps; /* eigenproblem solver context */
PetscScalar value[3];
PetscReal tol=1000*PETSC_MACHINE_EPSILON,v;
Vec d;
PetscInt n=30,i,Istart,Iend,col[3];
PetscBool FirstBlock=PETSC_FALSE,LastBlock=PETSC_FALSE;
PetscRandom myrand;
PetscErrorCode ierr;
SlepcInitialize(&argc,&argv,(char*)0,help);
ierr = PetscOptionsGetInt(NULL,"-n",&n,NULL);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"\nTridiagonal with random diagonal, n=%D\n\n",n);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create matrix tridiag([-1 0 -1])
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = MatCreate(PETSC_COMM_WORLD,&A1);CHKERRQ(ierr);
ierr = MatSetSizes(A1,PETSC_DECIDE,PETSC_DECIDE,n,n);CHKERRQ(ierr);
ierr = MatSetFromOptions(A1);CHKERRQ(ierr);
ierr = MatSetUp(A1);CHKERRQ(ierr);
ierr = MatGetOwnershipRange(A1,&Istart,&Iend);CHKERRQ(ierr);
if (Istart==0) FirstBlock=PETSC_TRUE;
if (Iend==n) LastBlock=PETSC_TRUE;
value[0]=-1.0; value[1]=0.0; value[2]=-1.0;
for (i=(FirstBlock? Istart+1: Istart); i<(LastBlock? Iend-1: Iend); i++) {
col[0]=i-1; col[1]=i; col[2]=i+1;
ierr = MatSetValues(A1,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr);
}
if (LastBlock) {
i=n-1; col[0]=n-2; col[1]=n-1;
ierr = MatSetValues(A1,1,&i,2,col,value,INSERT_VALUES);CHKERRQ(ierr);
}
if (FirstBlock) {
i=0; col[0]=0; col[1]=1; value[0]=0.0; value[1]=-1.0;
ierr = MatSetValues(A1,1,&i,2,col,value,INSERT_VALUES);CHKERRQ(ierr);
}
ierr = MatAssemblyBegin(A1,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyEnd(A1,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create two matrices by filling the diagonal with rand values
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = MatDuplicate(A1,MAT_COPY_VALUES,&A2);CHKERRQ(ierr);
ierr = MatGetVecs(A1,NULL,&d);CHKERRQ(ierr);
ierr = PetscRandomCreate(PETSC_COMM_WORLD,&myrand);CHKERRQ(ierr);
ierr = PetscRandomSetFromOptions(myrand);CHKERRQ(ierr);
ierr = PetscRandomSetInterval(myrand,0.0,1.0);CHKERRQ(ierr);
for (i=0; i<n; i++) {
ierr = PetscRandomGetValueReal(myrand,&v);CHKERRQ(ierr);
ierr = VecSetValue(d,i,v,INSERT_VALUES);CHKERRQ(ierr);
}
ierr = VecAssemblyBegin(d);CHKERRQ(ierr);
ierr = VecAssemblyEnd(d);CHKERRQ(ierr);
ierr = MatDiagonalSet(A1,d,INSERT_VALUES);CHKERRQ(ierr);
for (i=0; i<n; i++) {
ierr = PetscRandomGetValueReal(myrand,&v);CHKERRQ(ierr);
ierr = VecSetValue(d,i,v,INSERT_VALUES);CHKERRQ(ierr);
}
ierr = VecAssemblyBegin(d);CHKERRQ(ierr);
ierr = VecAssemblyEnd(d);CHKERRQ(ierr);
ierr = MatDiagonalSet(A2,d,INSERT_VALUES);CHKERRQ(ierr);
ierr = VecDestroy(&d);CHKERRQ(ierr);
ierr = PetscRandomDestroy(&myrand);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create the eigensolver
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSCreate(PETSC_COMM_WORLD,&eps);CHKERRQ(ierr);
ierr = EPSSetProblemType(eps,EPS_HEP);CHKERRQ(ierr);
ierr = EPSSetTolerances(eps,tol,PETSC_DEFAULT);CHKERRQ(ierr);
ierr = EPSSetOperators(eps,A1,NULL);CHKERRQ(ierr);
ierr = EPSSetFromOptions(eps);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve first eigenproblem
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSSolve(eps);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," - - - First matrix - - -\n");CHKERRQ(ierr);
ierr = EPSPrintSolution(eps,NULL);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve second eigenproblem
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSSetOperators(eps,A2,NULL);CHKERRQ(ierr);
ierr = EPSSolve(eps);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," - - - Second matrix - - -\n");CHKERRQ(ierr);
ierr = EPSPrintSolution(eps,NULL);CHKERRQ(ierr);
ierr = EPSDestroy(&eps);CHKERRQ(ierr);
ierr = MatDestroy(&A1);CHKERRQ(ierr);
ierr = MatDestroy(&A2);CHKERRQ(ierr);
ierr = SlepcFinalize();
return 0;
}
int main(int argc,char **argv)
{
Mat A; /* eigenvalue problem matrix */
EPS eps; /* eigenproblem solver context */
EPSType type;
PetscScalar delta1,delta2,L,h,value[3];
PetscInt N=30,n,i,col[3],Istart,Iend,nev;
PetscBool FirstBlock=PETSC_FALSE,LastBlock=PETSC_FALSE;
CTX_BRUSSEL *ctx;
PetscErrorCode ierr;
SlepcInitialize(&argc,&argv,(char*)0,help);
ierr = PetscOptionsGetInt(NULL,"-n",&N,NULL);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"\nBrusselator wave model, n=%D\n\n",N);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Generate the matrix
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
/*
Create shell matrix context and set default parameters
*/
ierr = PetscNew(&ctx);CHKERRQ(ierr);
ctx->alpha = 2.0;
ctx->beta = 5.45;
delta1 = 0.008;
delta2 = 0.004;
L = 0.51302;
/*
Look the command line for user-provided parameters
*/
ierr = PetscOptionsGetScalar(NULL,"-L",&L,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetScalar(NULL,"-alpha",&ctx->alpha,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetScalar(NULL,"-beta",&ctx->beta,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetScalar(NULL,"-delta1",&delta1,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetScalar(NULL,"-delta2",&delta2,NULL);CHKERRQ(ierr);
/*
Create matrix T
*/
ierr = MatCreate(PETSC_COMM_WORLD,&ctx->T);CHKERRQ(ierr);
ierr = MatSetSizes(ctx->T,PETSC_DECIDE,PETSC_DECIDE,N,N);CHKERRQ(ierr);
ierr = MatSetFromOptions(ctx->T);CHKERRQ(ierr);
ierr = MatSetUp(ctx->T);CHKERRQ(ierr);
ierr = MatGetOwnershipRange(ctx->T,&Istart,&Iend);CHKERRQ(ierr);
if (Istart==0) FirstBlock=PETSC_TRUE;
if (Iend==N) LastBlock=PETSC_TRUE;
value[0]=1.0; value[1]=-2.0; value[2]=1.0;
for (i=(FirstBlock? Istart+1: Istart); i<(LastBlock? Iend-1: Iend); i++) {
col[0]=i-1; col[1]=i; col[2]=i+1;
ierr = MatSetValues(ctx->T,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr);
}
if (LastBlock) {
i=N-1; col[0]=N-2; col[1]=N-1;
ierr = MatSetValues(ctx->T,1,&i,2,col,value,INSERT_VALUES);CHKERRQ(ierr);
}
if (FirstBlock) {
i=0; col[0]=0; col[1]=1; value[0]=-2.0; value[1]=1.0;
ierr = MatSetValues(ctx->T,1,&i,2,col,value,INSERT_VALUES);CHKERRQ(ierr);
}
ierr = MatAssemblyBegin(ctx->T,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyEnd(ctx->T,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatGetLocalSize(ctx->T,&n,NULL);CHKERRQ(ierr);
/*
Fill the remaining information in the shell matrix context
and create auxiliary vectors
*/
h = 1.0 / (PetscReal)(N+1);
ctx->tau1 = delta1 / ((h*L)*(h*L));
ctx->tau2 = delta2 / ((h*L)*(h*L));
ctx->sigma = 0.0;
ierr = VecCreateMPIWithArray(PETSC_COMM_WORLD,1,n,PETSC_DECIDE,NULL,&ctx->x1);CHKERRQ(ierr);
ierr = VecCreateMPIWithArray(PETSC_COMM_WORLD,1,n,PETSC_DECIDE,NULL,&ctx->x2);CHKERRQ(ierr);
ierr = VecCreateMPIWithArray(PETSC_COMM_WORLD,1,n,PETSC_DECIDE,NULL,&ctx->y1);CHKERRQ(ierr);
ierr = VecCreateMPIWithArray(PETSC_COMM_WORLD,1,n,PETSC_DECIDE,NULL,&ctx->y2);CHKERRQ(ierr);
/*
Create the shell matrix
*/
ierr = MatCreateShell(PETSC_COMM_WORLD,2*n,2*n,2*N,2*N,(void*)ctx,&A);CHKERRQ(ierr);
ierr = MatShellSetOperation(A,MATOP_MULT,(void(*)())MatMult_Brussel);CHKERRQ(ierr);
ierr = MatShellSetOperation(A,MATOP_SHIFT,(void(*)())MatShift_Brussel);CHKERRQ(ierr);
ierr = MatShellSetOperation(A,MATOP_GET_DIAGONAL,(void(*)())MatGetDiagonal_Brussel);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create the eigensolver and set various options
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
/*
Create eigensolver context
*/
ierr = EPSCreate(PETSC_COMM_WORLD,&eps);CHKERRQ(ierr);
/*
Set operators. In this case, it is a standard eigenvalue problem
*/
ierr = EPSSetOperators(eps,A,NULL);CHKERRQ(ierr);
ierr = EPSSetProblemType(eps,EPS_NHEP);CHKERRQ(ierr);
/*
Ask for the rightmost eigenvalues
*/
ierr = EPSSetWhichEigenpairs(eps,EPS_LARGEST_REAL);CHKERRQ(ierr);
/*
Set other solver options at runtime
*/
ierr = EPSSetFromOptions(eps);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve the eigensystem
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSSolve(eps);CHKERRQ(ierr);
/*
Optional: Get some information from the solver and display it
*/
ierr = EPSGetType(eps,&type);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type);CHKERRQ(ierr);
ierr = EPSGetDimensions(eps,&nev,NULL,NULL);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %D\n",nev);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Display solution and clean up
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSPrintSolution(eps,NULL);CHKERRQ(ierr);
ierr = EPSDestroy(&eps);CHKERRQ(ierr);
ierr = MatDestroy(&A);CHKERRQ(ierr);
ierr = MatDestroy(&ctx->T);CHKERRQ(ierr);
ierr = VecDestroy(&ctx->x1);CHKERRQ(ierr);
ierr = VecDestroy(&ctx->x2);CHKERRQ(ierr);
ierr = VecDestroy(&ctx->y1);CHKERRQ(ierr);
ierr = VecDestroy(&ctx->y2);CHKERRQ(ierr);
ierr = PetscFree(ctx);CHKERRQ(ierr);
ierr = SlepcFinalize();
return 0;
}
int main(int argc,char **argv)
{
Mat A; /* operator matrix */
EPS eps; /* eigenproblem solver context */
EPSType type;
PetscReal tol;
PetscInt nev,maxit,its;
char filename[PETSC_MAX_PATH_LEN];
PetscViewer viewer;
PetscBool flg;
PetscErrorCode ierr;
SlepcInitialize(&argc,&argv,(char*)0,help);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Load the operator matrix that defines the eigensystem, Ax=kx
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = PetscPrintf(PETSC_COMM_WORLD,"\nEigenproblem stored in file.\n\n");
CHKERRQ(ierr);
ierr = PetscOptionsGetString(NULL,"-file",filename,PETSC_MAX_PATH_LEN,&flg);
CHKERRQ(ierr);
if (!flg) SETERRQ(PETSC_COMM_WORLD,1,"Must indicate a file name with the -file option");
#if defined(PETSC_USE_COMPLEX)
ierr = PetscPrintf(PETSC_COMM_WORLD," Reading COMPLEX matrix from a binary file...\n");
CHKERRQ(ierr);
#else
ierr = PetscPrintf(PETSC_COMM_WORLD," Reading REAL matrix from a binary file...\n");
CHKERRQ(ierr);
#endif
ierr = PetscViewerBinaryOpen(PETSC_COMM_WORLD,filename,FILE_MODE_READ,&viewer);
CHKERRQ(ierr);
ierr = MatCreate(PETSC_COMM_WORLD,&A);
CHKERRQ(ierr);
ierr = MatSetFromOptions(A);
CHKERRQ(ierr);
ierr = MatLoad(A,viewer);
CHKERRQ(ierr);
ierr = PetscViewerDestroy(&viewer);
CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create the eigensolver and set various options
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
/*
Create eigensolver context
*/
ierr = EPSCreate(PETSC_COMM_WORLD,&eps);
CHKERRQ(ierr);
/*
Set operators. In this case, it is a standard eigenvalue problem
*/
ierr = EPSSetOperators(eps,A,NULL);
CHKERRQ(ierr);
/*
Set solver parameters at runtime
*/
ierr = EPSSetFromOptions(eps);
CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve the eigensystem
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSSolve(eps);
CHKERRQ(ierr);
ierr = EPSGetIterationNumber(eps,&its);
CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," Number of iterations of the method: %D\n",its);
CHKERRQ(ierr);
/*
Optional: Get some information from the solver and display it
*/
ierr = EPSGetType(eps,&type);
CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type);
CHKERRQ(ierr);
ierr = EPSGetDimensions(eps,&nev,NULL,NULL);
CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %D\n",nev);
CHKERRQ(ierr);
ierr = EPSGetTolerances(eps,&tol,&maxit);
CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD," Stopping condition: tol=%.4g, maxit=%D\n",(double)tol,maxit);
CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Display solution and clean up
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = EPSPrintSolution(eps,NULL);
CHKERRQ(ierr);
ierr = EPSDestroy(&eps);
CHKERRQ(ierr);
ierr = MatDestroy(&A);
CHKERRQ(ierr);
ierr = SlepcFinalize();
return 0;
}
