void
LOCA::Homotopy::DeflatedGroup::
extractParameterComponent(bool use_transpose,
const NOX::Abstract::MultiVector& v,
NOX::Abstract::MultiVector::DenseMatrix& v_p) const
{
// cast v to an extended multi-vec
const LOCA::MultiContinuation::ExtendedMultiVector& mc_v =
dynamic_cast<const LOCA::MultiContinuation::ExtendedMultiVector&>(v);
// get solution and parameter components
Teuchos::RCP<const NOX::Abstract::MultiVector> mc_v_x =
mc_v.getXMultiVec();
Teuchos::RCP<const NOX::Abstract::MultiVector::DenseMatrix> mc_v_p =
mc_v.getScalars();
// If the underlying system isn't bordered, we're done
if (!isBordered) {
if (!use_transpose)
v_p.assign(*mc_v_p);
else
for (int j=0; j<v_p.numCols(); j++)
for (int i=0; i<v_p.numRows(); i++)
v_p(i,j) = (*mc_v_p)(j,i);
return;
}
int w = bordered_grp->getBorderedWidth();
if (!use_transpose) {
// Split v_p into 2 block rows, the top to store mc_v_x_p and the bottom
// to store mc_v_p
int num_cols = v_p.numCols();
NOX::Abstract::MultiVector::DenseMatrix v_p_1(Teuchos::View, v_p,
w, num_cols, 0, 0);
NOX::Abstract::MultiVector::DenseMatrix v_p_2(Teuchos::View, v_p,
1, num_cols, w, 0);
// Decompose mc_v_x
bordered_grp->extractParameterComponent(use_transpose,*mc_v_x, v_p_1);
v_p_2.assign(*mc_v_p);
}
else {
// Split v_p into 2 block columns, the first to store mc_v_x_p^t and the
// the second to store mc_v_p^T
int num_rows = v_p.numRows();
NOX::Abstract::MultiVector::DenseMatrix v_p_1(Teuchos::View, v_p,
num_rows, w, 0, 0);
NOX::Abstract::MultiVector::DenseMatrix v_p_2(Teuchos::View, v_p,
num_rows, 1, 0, w);
// Decompose mc_v_x
bordered_grp->extractParameterComponent(use_transpose,*mc_v_x, v_p_1);
for (int j=0; j<1; j++)
for (int i=0; i<num_rows; i++)
v_p_2(i,j) = (*mc_v_p)(j,i);
}
}
NOX::Abstract::Group::ReturnType
LOCA::BorderedSolver::Nested::applyInverseTranspose(
Teuchos::ParameterList& params,
const NOX::Abstract::MultiVector* F,
const NOX::Abstract::MultiVector::DenseMatrix* G,
NOX::Abstract::MultiVector& X,
NOX::Abstract::MultiVector::DenseMatrix& Y) const
{
bool isZeroF = (F == NULL);
bool isZeroG = (G == NULL);
if (isZeroF && isZeroG) {
X.init(0.0);
Y.putScalar(0.0);
}
int num_cols = X.numVectors();
Teuchos::RCP<NOX::Abstract::MultiVector> FF;
if (!isZeroF)
FF = unbordered_grp->getX().createMultiVector(num_cols);
NOX::Abstract::MultiVector::DenseMatrix GG(myWidth, num_cols);
GG.putScalar(0.0);
if (!isZeroF) {
NOX::Abstract::MultiVector::DenseMatrix GG1(Teuchos::View, GG,
underlyingWidth, num_cols,
0, 0);
grp->extractSolutionComponent(*F, *FF);
grp->extractParameterComponent(false, *F, GG1);
}
if (!isZeroG) {
NOX::Abstract::MultiVector::DenseMatrix GG2(Teuchos::View, GG,
numConstraints, num_cols,
underlyingWidth, 0);
GG2.assign(*G);
}
Teuchos::RCP<NOX::Abstract::MultiVector> XX =
unbordered_grp->getX().createMultiVector(num_cols);
NOX::Abstract::MultiVector::DenseMatrix YY(myWidth, num_cols);
NOX::Abstract::MultiVector::DenseMatrix YY1(Teuchos::View, YY,
underlyingWidth, num_cols,
0, 0);
NOX::Abstract::MultiVector::DenseMatrix YY2(Teuchos::View, YY,
numConstraints, num_cols,
underlyingWidth, 0);
NOX::Abstract::Group::ReturnType status =
solver->applyInverseTranspose(params, FF.get(), &GG, *XX, YY);
Y.assign(YY2);
grp->loadNestedComponents(*XX, YY1, X);
return status;
}
void
LOCA::Homotopy::DeflatedGroup::
fillC(NOX::Abstract::MultiVector::DenseMatrix& C) const
{
string callingFunction =
"LOCA::Homotopy::DeflatedGroup::fillC";
Teuchos::RCP<const NOX::Abstract::MultiVector::DenseMatrix> my_C =
minusOne;
// If the underlying system isn't bordered, we're done
if (!isBordered) {
C.assign(*my_C);
return;
}
Teuchos::RCP<const NOX::Abstract::MultiVector> my_B =
totalDistMultiVec;
Teuchos::RCP<const NOX::Abstract::MultiVector> my_A =
underlyingF;
// Create views for underlying group
int w = bordered_grp->getBorderedWidth();
NOX::Abstract::MultiVector::DenseMatrix underlyingC(Teuchos::View, C,
w, w, 0, 0);
// Combine blocks in underlying group
bordered_grp->fillC(underlyingC);
// Create views for my blocks
NOX::Abstract::MultiVector::DenseMatrix my_A_p(Teuchos::View, C,
w, 1, 0, w);
NOX::Abstract::MultiVector::DenseMatrix my_B_p(Teuchos::View, C,
1, w, w, 0);
NOX::Abstract::MultiVector::DenseMatrix my_CC(Teuchos::View, C,
1, 1, w, w);
// Extract solution component from my_A and store in my_A_p
bordered_grp->extractParameterComponent(false, *my_A, my_A_p);
// Extract solution component from my_B and store in my_B_p
bordered_grp->extractParameterComponent(true, *my_B, my_B_p);
// Copy in my_C
my_CC.assign(*my_C);
}
void
LOCA::Hopf::MinimallyAugmented::ExtendedGroup::
fillC(NOX::Abstract::MultiVector::DenseMatrix& C) const
{
string callingFunction =
"LOCA::Hopf::MinimallyAugmented::ExtendedGroup::fillC";
Teuchos::RCP<const NOX::Abstract::MultiVector::DenseMatrix> my_C =
dfdpMultiVec->getScalars();
// If the underlying system isn't bordered, we're done
if (!isBordered) {
C.assign(*my_C);
return;
}
Teuchos::RCP<const NOX::Abstract::MultiVector> my_B =
Teuchos::rcp(constraintsPtr->getDX(),false);
Teuchos::RCP<const NOX::Abstract::MultiVector> my_A =
dfdpMultiVec->getXMultiVec();
// Create views for underlying group
int w = bordered_grp->getBorderedWidth();
NOX::Abstract::MultiVector::DenseMatrix underlyingC(Teuchos::View, C,
w, w, 0, 0);
// Combine blocks in underlying group
bordered_grp->fillC(underlyingC);
// Create views for my blocks
NOX::Abstract::MultiVector::DenseMatrix my_A_p(Teuchos::View, C,
w, 2, 0, w);
NOX::Abstract::MultiVector::DenseMatrix my_B_p(Teuchos::View, C,
2, w, w, 0);
NOX::Abstract::MultiVector::DenseMatrix my_CC(Teuchos::View, C,
2, 2, w, w);
// Extract solution component from my_A and store in my_A_p
bordered_grp->extractParameterComponent(false, *my_A, my_A_p);
// Extract solution component from my_B and store in my_B_p
bordered_grp->extractParameterComponent(true, *my_B, my_B_p);
// Copy in my_C
my_CC.assign(*my_C);
}
NOX::Abstract::Group::ReturnType
LOCA::BorderedSolver::Nested::applyTranspose(
const NOX::Abstract::MultiVector& X,
const NOX::Abstract::MultiVector::DenseMatrix& Y,
NOX::Abstract::MultiVector& U,
NOX::Abstract::MultiVector::DenseMatrix& V) const
{
int num_cols = X.numVectors();
Teuchos::RCP<NOX::Abstract::MultiVector> XX =
unbordered_grp->getX().createMultiVector(num_cols);
Teuchos::RCP<NOX::Abstract::MultiVector> UU =
unbordered_grp->getX().createMultiVector(num_cols);
NOX::Abstract::MultiVector::DenseMatrix YY(myWidth, num_cols);
NOX::Abstract::MultiVector::DenseMatrix VV(myWidth, num_cols);
NOX::Abstract::MultiVector::DenseMatrix YY1(Teuchos::View, YY,
underlyingWidth, num_cols,
0, 0);
NOX::Abstract::MultiVector::DenseMatrix YY2(Teuchos::View, YY,
numConstraints, num_cols,
underlyingWidth, 0);
NOX::Abstract::MultiVector::DenseMatrix VV1(Teuchos::View, VV,
underlyingWidth, num_cols,
0, 0);
NOX::Abstract::MultiVector::DenseMatrix VV2(Teuchos::View, VV,
numConstraints, num_cols,
underlyingWidth, 0);
grp->extractSolutionComponent(X, *XX);
grp->extractParameterComponent(false, X, YY1);
YY2.assign(Y);
NOX::Abstract::Group::ReturnType status =
solver->applyTranspose(*XX, YY, *UU, VV);
V.assign(VV2);
grp->loadNestedComponents(*UU, VV1, U);
return status;
}
void
LOCA::BorderedSolver::HouseholderQR::applyCompactWY(
const NOX::Abstract::MultiVector::DenseMatrix& Y1,
const NOX::Abstract::MultiVector& Y2,
const NOX::Abstract::MultiVector::DenseMatrix& T,
const NOX::Abstract::MultiVector::DenseMatrix* input1,
const NOX::Abstract::MultiVector* input2,
NOX::Abstract::MultiVector::DenseMatrix& result1,
NOX::Abstract::MultiVector& result2,
bool useTranspose) const
{
bool isZeroX1 = (input1 == NULL);
bool isZeroX2 = (input2 == NULL);
if (!isZeroX1)
result1.assign(*input1);
if (!isZeroX2)
result2 = *input2;
applyCompactWY(Y1, Y2, T, result1, result2, isZeroX1, isZeroX2,
useTranspose);
}
NOX::Abstract::Group::ReturnType
LOCA::BorderedSolver::LowerTriangularBlockElimination::
solve(Teuchos::ParameterList& params,
const LOCA::BorderedSolver::AbstractOperator& op,
const LOCA::MultiContinuation::ConstraintInterface& B,
const NOX::Abstract::MultiVector::DenseMatrix& C,
const NOX::Abstract::MultiVector* F,
const NOX::Abstract::MultiVector::DenseMatrix* G,
NOX::Abstract::MultiVector& X,
NOX::Abstract::MultiVector::DenseMatrix& Y) const
{
string callingFunction =
"LOCA::BorderedSolver::LowerTriangularBlockElimination::solve()";
NOX::Abstract::Group::ReturnType finalStatus = NOX::Abstract::Group::Ok;
NOX::Abstract::Group::ReturnType status;
// Determine if X or Y is zero
bool isZeroF = (F == NULL);
bool isZeroG = (G == NULL);
bool isZeroB = B.isDXZero();
bool isZeroX = isZeroF;
bool isZeroY = isZeroG && (isZeroB || isZeroX);
// First compute X
if (isZeroX)
X.init(0.0);
else {
// Solve X = J^-1 F, note F must be nonzero
status = op.applyInverse(params, *F, X);
finalStatus =
globalData->locaErrorCheck->combineAndCheckReturnTypes(status,
finalStatus,
callingFunction);
}
// Now compute Y
if (isZeroY)
Y.putScalar(0.0);
else {
// Compute G - B^T*X and store in Y
if (isZeroG)
B.multiplyDX(-1.0, X, Y);
else {
Y.assign(*G);
if (!isZeroB && !isZeroX) {
NOX::Abstract::MultiVector::DenseMatrix T(Y.numRows(),Y.numCols());
B.multiplyDX(1.0, X, T);
Y -= T;
}
}
// Overwrite Y with Y = C^-1 * (G - B^T*X)
NOX::Abstract::MultiVector::DenseMatrix M(C);
int *ipiv = new int[M.numRows()];
Teuchos::LAPACK<int,double> L;
int info;
L.GETRF(M.numRows(), M.numCols(), M.values(), M.stride(), ipiv, &info);
if (info != 0) {
status = NOX::Abstract::Group::Failed;
finalStatus =
globalData->locaErrorCheck->combineAndCheckReturnTypes(
status,
finalStatus,
callingFunction);
}
L.GETRS('N', M.numRows(), Y.numCols(), M.values(), M.stride(), ipiv,
Y.values(), Y.stride(), &info);
delete [] ipiv;
if (info != 0) {
status = NOX::Abstract::Group::Failed;
finalStatus =
globalData->locaErrorCheck->combineAndCheckReturnTypes(
status,
finalStatus,
callingFunction);
}
}
return finalStatus;
}
// Solves Hopf equations via classic Salinger bordering
// The first m columns of input_x, input_y, input_z store the RHS, the
// next column stores df/dp, (Jy-wBz)_p and (Jz+wBy)_p respectively, the
// last column of input_y and input_z store Bz and -By respectively. Note
// input_x has m+1 columns, input_y and input_z have m+2, and input_w and
// input_p have m columns. result_x, result_y, result_z, result_w and
// result_param have the same dimensions as their input counterparts
NOX::Abstract::Group::ReturnType
LOCA::Hopf::MooreSpence::SalingerBordering::solveContiguous(
Teuchos::ParameterList& params,
const NOX::Abstract::MultiVector& input_x,
const NOX::Abstract::MultiVector& input_y,
const NOX::Abstract::MultiVector& input_z,
const NOX::Abstract::MultiVector::DenseMatrix& input_w,
const NOX::Abstract::MultiVector::DenseMatrix& input_p,
NOX::Abstract::MultiVector& result_x,
NOX::Abstract::MultiVector& result_y,
NOX::Abstract::MultiVector& result_z,
NOX::Abstract::MultiVector::DenseMatrix& result_w,
NOX::Abstract::MultiVector::DenseMatrix& result_p) const
{
std::string callingFunction =
"LOCA::Hopf::MooreSpence::SalingerBordering::solveContiguous()";
NOX::Abstract::Group::ReturnType finalStatus = NOX::Abstract::Group::Ok;
NOX::Abstract::Group::ReturnType status;
int m = input_x.numVectors()-1;
std::vector<int> index_input(m);
std::vector<int> index_dp(1);
std::vector<int> index_B(1);
std::vector<int> index_ip(m+1);
for (int i=0; i<m; i++) {
index_input[i] = i;
index_ip[i] = i;
}
index_ip[m] = m;
index_dp[0] = m;
index_B[0] = m+1;
// verify underlying Jacobian is valid
if (!group->isJacobian()) {
status = group->computeJacobian();
finalStatus =
globalData->locaErrorCheck->combineAndCheckReturnTypes(status,
finalStatus,
callingFunction);
}
// compute [A b] = J^-1 [F df/dp]
status = group->applyJacobianInverseMultiVector(params, input_x, result_x);
finalStatus =
globalData->locaErrorCheck->combineAndCheckReturnTypes(status, finalStatus,
callingFunction);
Teuchos::RCP<NOX::Abstract::MultiVector> A =
result_x.subView(index_input);
Teuchos::RCP<NOX::Abstract::MultiVector> b =
result_x.subView(index_dp);
// verify underlying complex matrix is valid
if (!group->isComplex()) {
status = group->computeComplex(w);
finalStatus =
globalData->locaErrorCheck->combineAndCheckReturnTypes(status,
finalStatus,
callingFunction);
}
// compute (J+iwB)(y+iz)_x [A b]
Teuchos::RCP<NOX::Abstract::MultiVector> tmp_real =
result_y.clone(NOX::ShapeCopy);
Teuchos::RCP<NOX::Abstract::MultiVector> tmp_real_sub =
tmp_real->subView(index_ip);
Teuchos::RCP<NOX::Abstract::MultiVector> tmp_imag =
result_y.clone(NOX::ShapeCopy);
Teuchos::RCP<NOX::Abstract::MultiVector> tmp_imag_sub =
tmp_imag->subView(index_ip);
tmp_real->init(0.0);
tmp_imag->init(0.0);
status = group->computeDCeDxa(*yVector, *zVector, w, result_x,
*CeRealVector, *CeImagVector, *tmp_real_sub,
*tmp_imag_sub);
finalStatus =
globalData->locaErrorCheck->combineAndCheckReturnTypes(status, finalStatus,
callingFunction);
// compute [G+iH d(J+iwB)(y+iz)/dp iB(y+iz)] - [(J+iwB)_x[A b] 0+i0]
tmp_real->update(1.0, input_y, -1.0);
tmp_imag->update(1.0, input_z, -1.0);
// verify underlying complex matrix is valid
if (!group->isComplex()) {
status = group->computeComplex(w);
finalStatus =
globalData->locaErrorCheck->combineAndCheckReturnTypes(status,
finalStatus,
callingFunction);
}
// compute [C+iD e+if g+ih] = (J+iwB)^-1 (tmp_real + i tmp_imag)
status = group->applyComplexInverseMultiVector(params, *tmp_real, *tmp_imag,
result_y, result_z);
finalStatus =
globalData->locaErrorCheck->combineAndCheckReturnTypes(status, finalStatus,
callingFunction);
Teuchos::RCP<NOX::Abstract::MultiVector> C =
result_y.subView(index_input);
Teuchos::RCP<NOX::Abstract::MultiVector> D =
result_z.subView(index_input);
Teuchos::RCP<NOX::Abstract::MultiVector> e =
result_y.subView(index_dp);
Teuchos::RCP<NOX::Abstract::MultiVector> f =
result_z.subView(index_dp);
Teuchos::RCP<NOX::Abstract::MultiVector> g =
result_y.subView(index_B);
Teuchos::RCP<NOX::Abstract::MultiVector> h =
result_z.subView(index_B);
// compute lambda = ((phi^T h)(phi^T C-u) - (phi^T g)(phi^T D-v)) /
// ((phi^T h)(phi^T e)-(phi^T g)(phi^T f))
NOX::Abstract::MultiVector::DenseMatrix ltC(1,m);
NOX::Abstract::MultiVector::DenseMatrix ltD(1,m);
double lte = hopfGroup->lTransNorm((*e)[0]);
double ltf = hopfGroup->lTransNorm((*f)[0]);
double ltg = hopfGroup->lTransNorm((*g)[0]);
double lth = hopfGroup->lTransNorm((*h)[0]);
double denom = lth*lte - ltg*ltf;
hopfGroup->lTransNorm(*C, ltC);
ltC -= input_w;
ltC.scale(lth);
hopfGroup->lTransNorm(*D, ltD);
ltD -= input_p;
result_p.assign(ltD);
result_p.scale(-ltg);
result_p += ltC;
result_p.scale(1.0/denom);
// compute omega = (phi^T D-v - (phi^T f)lambda)/(phi^T h)
result_w.assign(result_p);
result_w.scale(-ltf);
result_w += ltD;
result_w.scale(1.0/lth);
// compute A = A - b*lambda (remember A is a sub-view of result_x)
A->update(Teuchos::NO_TRANS, -1.0, *b, result_p, 1.0);
// compute C = C - e*lambda - g*omega (remember C is a sub-view of result_y)
C->update(Teuchos::NO_TRANS, -1.0, *e, result_p, 1.0);
C->update(Teuchos::NO_TRANS, -1.0, *g, result_w, 1.0);
// compute D = D - f*lambda - h*omega (remember D is a sub-view of result_z)
D->update(Teuchos::NO_TRANS, -1.0, *f, result_p, 1.0);
D->update(Teuchos::NO_TRANS, -1.0, *h, result_w, 1.0);
return finalStatus;
}
void
LOCA::BorderedSolver::HouseholderQR::computeQR(
const NOX::Abstract::MultiVector::DenseMatrix& C,
const NOX::Abstract::MultiVector& B,
bool use_c_transpose,
NOX::Abstract::MultiVector::DenseMatrix& Y1,
NOX::Abstract::MultiVector& Y2,
NOX::Abstract::MultiVector::DenseMatrix& T,
NOX::Abstract::MultiVector::DenseMatrix& R)
{
double beta;
int m = B.numVectors();
// Initialize
Y1.putScalar(0.0);
T.putScalar(0.0);
Y2 = B;
if (use_c_transpose) {
for (int i=0; i<m; i++)
for (int j=0; j<m; j++)
R(i,j) = C(j,i); // Copy transpose of C into R
}
else
R.assign(C);
// A temporary vector
Teuchos::RCP<NOX::Abstract::MultiVector> v2 = Y2.clone(1);
Teuchos::RCP<NOX::Abstract::MultiVector::DenseMatrix> v1;
Teuchos::RCP<NOX::Abstract::MultiVector> h2;
Teuchos::RCP<NOX::Abstract::MultiVector::DenseMatrix> h1;
Teuchos::RCP<NOX::Abstract::MultiVector> y2;
Teuchos::RCP<NOX::Abstract::MultiVector::DenseMatrix> y1;
Teuchos::RCP<NOX::Abstract::MultiVector::DenseMatrix> z;
std::vector<int> h_idx;
std::vector<int> y_idx;
y_idx.reserve(m);
for (int i=0; i<m; i++) {
// Create view of column i of Y1 starting at row i
v1 =
Teuchos::rcp(new NOX::Abstract::MultiVector::DenseMatrix(Teuchos::View,
Y1,
m-i,
1, i, i));
// Create view of columns i through m-1 of Y2
h_idx.resize(m-i);
for (unsigned int j=0; j<h_idx.size(); j++)
h_idx[j] = i+j;
h2 = Y2.subView(h_idx);
// Create view of columns i thru m-1 of R, starting at row i
h1 =
Teuchos::rcp(new NOX::Abstract::MultiVector::DenseMatrix(Teuchos::View,
R,
m-i,
m-i,
i, i));
if (i > 0) {
// Create view of columns 0 through i-1 of Y2
y_idx.push_back(i-1);
y2 = Y2.subView(y_idx);
// Create view of columns 0 through i-1 of Y1, starting at row i
y1 =
Teuchos::rcp(new NOX::Abstract::MultiVector::DenseMatrix(Teuchos::View,
Y1,
m-i,
i, i, 0));
// Create view of column i, row 0 through i-1 of T
z =
Teuchos::rcp(new NOX::Abstract::MultiVector::DenseMatrix(Teuchos::View,
T,
i,
1,
0, i));
}
// Compute Householder Vector
computeHouseholderVector(i, R, Y2, *v1, *v2, beta);
// Apply Householder reflection
applyHouseholderVector(*v1, *v2, beta, *h1, *h2);
// Copy v2 into Y2
Y2[i] = (*v2)[0];
T(i,i) = -beta;
if (i > 0) {
// Compute z = y2^T * v2
v2->multiply(1.0, *y2, *z);
// Compute z = -beta * (z + y1^T * v1)
z->multiply(Teuchos::TRANS, Teuchos::NO_TRANS, -beta, *y1, *v1, -beta);
// Compute z = T * z
dblas.TRMV(Teuchos::UPPER_TRI, Teuchos::NO_TRANS, Teuchos::NON_UNIT_DIAG,
i, T.values(), m, z->values(), 1);
}
}
}
void
LOCA::MultiContinuation::ConstrainedGroup::fillC(
NOX::Abstract::MultiVector::DenseMatrix& C) const
{
std::string callingFunction =
"LOCA::MultiContinuation::ConstrainedGroup::fillC";
Teuchos::RCP<const NOX::Abstract::MultiVector::DenseMatrix> my_C =
dfdpMultiVec->getScalars();
// If the underlying system isn't bordered, we're done
if (!isBordered) {
C.assign(*my_C);
return;
}
bool isZeroB = constraintsPtr->isDXZero();
Teuchos::RCP<const NOX::Abstract::MultiVector> my_B;
if (!isZeroB) {
Teuchos::RCP<const LOCA::MultiContinuation::ConstraintInterfaceMVDX> constraints_mvdx = Teuchos::rcp_dynamic_cast<const LOCA::MultiContinuation::ConstraintInterfaceMVDX>(constraintsPtr);
if (constraints_mvdx == Teuchos::null)
globalData->locaErrorCheck->throwError(
callingFunction,
std::string("Constraints object must be of type") +
std::string("ConstraintInterfaceMVDX"));
my_B = Teuchos::rcp(constraints_mvdx->getDX(),false);
}
Teuchos::RCP<const NOX::Abstract::MultiVector> my_A =
dfdpMultiVec->getXMultiVec();
// Create views for underlying group
int w = bordered_grp->getBorderedWidth();
NOX::Abstract::MultiVector::DenseMatrix underlyingC(Teuchos::View, C,
w, w, 0, 0);
// Combine blocks in underlying group
bordered_grp->fillC(underlyingC);
// Create views for my blocks
NOX::Abstract::MultiVector::DenseMatrix my_A_p(Teuchos::View, C,
w, numParams, 0, w);
NOX::Abstract::MultiVector::DenseMatrix my_B_p(Teuchos::View, C,
numParams, w, w, 0);
NOX::Abstract::MultiVector::DenseMatrix my_CC(Teuchos::View, C,
numParams, numParams, w, w);
// Extract solution component from my_A and store in my_A_p
bordered_grp->extractParameterComponent(false, *my_A, my_A_p);
// Extract solution component from my_B and store in my_B_p
if (isZeroB)
my_B_p.putScalar(0.0);
else
bordered_grp->extractParameterComponent(true, *my_B, my_B_p);
// Copy in my_C
my_CC.assign(*my_C);
}