/** Set up the augmented system and solve it for a given right hand
* side. If desired (i.e. if check_NegEVals is true), then the
* solution is only computed if the number of negative eigenvalues
* matches numberOfNegEVals.
*
* The return value is the return value of the linear solver object.
*/
virtual ESymSolverStatus Solve(
const SymMatrix* W,
double W_factor,
const Vector* D_x,
double delta_x,
const Vector* D_s,
double delta_s,
const Matrix* J_c,
const Vector* D_c,
double delta_c,
const Matrix* J_d,
const Vector* D_d,
double delta_d,
const Vector& rhs_x,
const Vector& rhs_s,
const Vector& rhs_c,
const Vector& rhs_d,
Vector& sol_x,
Vector& sol_s,
Vector& sol_c,
Vector& sol_d,
bool check_NegEVals,
Index numberOfNegEVals)
{
std::vector<SmartPtr<const Vector> > rhs_xV(1);
rhs_xV[0] = &rhs_x;
std::vector<SmartPtr<const Vector> > rhs_sV(1);
rhs_sV[0] = &rhs_s;
std::vector<SmartPtr<const Vector> > rhs_cV(1);
rhs_cV[0] = &rhs_c;
std::vector<SmartPtr<const Vector> > rhs_dV(1);
rhs_dV[0] = &rhs_d;
std::vector<SmartPtr<Vector> > sol_xV(1);
sol_xV[0] = &sol_x;
std::vector<SmartPtr<Vector> > sol_sV(1);
sol_sV[0] = &sol_s;
std::vector<SmartPtr<Vector> > sol_cV(1);
sol_cV[0] = &sol_c;
std::vector<SmartPtr<Vector> > sol_dV(1);
sol_dV[0] = &sol_d;
return MultiSolve(W, W_factor, D_x, delta_x, D_s, delta_s, J_c, D_c, delta_c,
J_d, D_d, delta_d, rhs_xV, rhs_sV, rhs_cV, rhs_dV,
sol_xV, sol_sV, sol_cV, sol_dV, check_NegEVals,
numberOfNegEVals);
}
ESymSolverStatus LowRankAugSystemSolver::SolveMultiVector(
const Vector* D_x,
double delta_x,
const Vector* D_s,
double delta_s,
const Matrix& J_c,
const Vector* D_c,
double delta_c,
const Matrix& J_d,
const Vector* D_d,
double delta_d,
const Vector& proto_rhs_x,
const Vector& proto_rhs_s,
const Vector& proto_rhs_c,
const Vector& proto_rhs_d,
const MultiVectorMatrix& V,
const SmartPtr<const Matrix>& P_LM,
SmartPtr<MultiVectorMatrix>& V_x,
SmartPtr<MultiVectorMatrix>& Vtilde,
SmartPtr<MultiVectorMatrix>& Vtilde_x,
bool check_NegEVals,
Index numberOfNegEVals
)
{
DBG_START_METH("LowRankAugSystemSolver::SolveMultiVector",
dbg_verbosity);
ESymSolverStatus retval;
Index nrhs = V.NCols();
DBG_ASSERT(nrhs > 0);
SmartPtr<MultiVectorMatrixSpace> V_xspace = new MultiVectorMatrixSpace(nrhs, *proto_rhs_x.OwnerSpace());
V_x = V_xspace->MakeNewMultiVectorMatrix();
// Create the right hand sides
std::vector<SmartPtr<const Vector> > rhs_xV(nrhs);
std::vector<SmartPtr<const Vector> > rhs_sV(nrhs);
std::vector<SmartPtr<const Vector> > rhs_cV(nrhs);
std::vector<SmartPtr<const Vector> > rhs_dV(nrhs);
for( Index i = 0; i < nrhs; i++ )
{
if( IsNull(P_LM) )
{
rhs_xV[i] = V.GetVector(i);
DBG_ASSERT(rhs_xV[i]->Dim() == proto_rhs_x.Dim());
}
else
{
SmartPtr<Vector> fullx = proto_rhs_x.MakeNew();
P_LM->MultVector(1., *V.GetVector(i), 0., *fullx);
rhs_xV[i] = ConstPtr(fullx);
}
V_x->SetVector(i, *rhs_xV[i]);
SmartPtr<Vector> tmp;
tmp = proto_rhs_s.MakeNew();
tmp->Set(0.);
rhs_sV[i] = ConstPtr(tmp);
tmp = proto_rhs_c.MakeNew();
tmp->Set(0.);
rhs_cV[i] = ConstPtr(tmp);
tmp = proto_rhs_d.MakeNew();
tmp->Set(0.);
rhs_dV[i] = ConstPtr(tmp);
}
// now get space for the solution
std::vector<SmartPtr<Vector> > sol_xV(nrhs);
std::vector<SmartPtr<Vector> > sol_sV(nrhs);
std::vector<SmartPtr<Vector> > sol_cV(nrhs);
std::vector<SmartPtr<Vector> > sol_dV(nrhs);
for( Index i = 0; i < nrhs; i++ )
{
sol_xV[i] = proto_rhs_x.MakeNew();
sol_sV[i] = proto_rhs_s.MakeNew();
sol_cV[i] = proto_rhs_c.MakeNew();
sol_dV[i] = proto_rhs_d.MakeNew();
}
// Call the actual augmented system solver to obtain Vtilde
retval = aug_system_solver_->MultiSolve(GetRawPtr(Wdiag_), 1.0, D_x, delta_x, D_s, delta_s, &J_c, D_c, delta_c, &J_d,
D_d, delta_d, rhs_xV, rhs_sV, rhs_cV, rhs_dV, sol_xV, sol_sV, sol_cV, sol_dV, check_NegEVals, numberOfNegEVals);
if( aug_system_solver_->ProvidesInertia() )
{
num_neg_evals_ = aug_system_solver_->NumberOfNegEVals();
}
if( retval != SYMSOLVER_SUCCESS )
{
return retval;
}
// Pack the results into Vtilde
if( IsNull(compound_sol_vecspace_) )
{
Index dimx = proto_rhs_x.Dim();
Index dims = proto_rhs_s.Dim();
Index dimc = proto_rhs_c.Dim();
Index dimd = proto_rhs_d.Dim();
Index dimtot = dimx + dims + dimc + dimd;
SmartPtr<CompoundVectorSpace> vecspace = new CompoundVectorSpace(4, dimtot);
vecspace->SetCompSpace(0, *proto_rhs_x.OwnerSpace());
vecspace->SetCompSpace(1, *proto_rhs_s.OwnerSpace());
vecspace->SetCompSpace(2, *proto_rhs_c.OwnerSpace());
vecspace->SetCompSpace(3, *proto_rhs_d.OwnerSpace());
compound_sol_vecspace_ = ConstPtr(vecspace);
}
SmartPtr<MultiVectorMatrixSpace> V1space = new MultiVectorMatrixSpace(nrhs, *compound_sol_vecspace_);
Vtilde = V1space->MakeNewMultiVectorMatrix();
Vtilde_x = V_xspace->MakeNewMultiVectorMatrix();
for( Index i = 0; i < nrhs; i++ )
{
Vtilde_x->SetVector(i, *sol_xV[i]);
SmartPtr<CompoundVector> cvec = compound_sol_vecspace_->MakeNewCompoundVector(false);
cvec->SetCompNonConst(0, *sol_xV[i]);
cvec->SetCompNonConst(1, *sol_sV[i]);
cvec->SetCompNonConst(2, *sol_cV[i]);
cvec->SetCompNonConst(3, *sol_dV[i]);
Vtilde->SetVectorNonConst(i, *cvec);
}
return retval;
}