//! Applies the matrix to a multivector.
void Apply(const Anasazi::MultiVec<ScalarType>& X,
Anasazi::MultiVec<ScalarType>& Y) const
{
const MyMultiVec<ScalarType>* MyX;
MyX = dynamic_cast<const MyMultiVec<ScalarType>*>(&X);
assert (MyX != 0);
MyMultiVec<ScalarType>* MyY;
MyY = dynamic_cast<MyMultiVec<ScalarType>*>(&Y);
assert (MyY != 0);
// Initialize output vector to zero.
MyY->MvInit( Teuchos::ScalarTraits<ScalarType>::zero() );
assert (X.GetNumberVecs() == Y.GetNumberVecs());
assert (X.GetGlobalLength() == Y.GetGlobalLength());
int nv = X.GetNumberVecs();
// Apply operator
int IA1, IA2, ri;
ScalarType aval;
int i,j,v;
for (j=0; j<_nr; j++) {
IA1 = _cptr[j]-1;
IA2 = _cptr[j+1]-1;
for (i=IA1; i<IA2; i++) {
ri = _rind[i]-1;
aval = _vals[i];
for (v=0; v<nv; v++) {
(*MyY)[v][ri] += aval*(*MyX)[v][j];
}
}
}
}
// Update *this with alpha * A * B + beta * (*this).
void MvTimesMatAddMv (ScalarType alpha, const Anasazi::MultiVec<ScalarType> &A,
const Teuchos::SerialDenseMatrix<int, ScalarType> &B,
ScalarType beta)
{
assert (Length_ == A.GetVecLength());
assert (B.numRows() == A.GetNumberVecs());
assert (B.numCols() <= NumberVecs_);
MyMultiVec* MyA;
MyA = dynamic_cast<MyMultiVec*>(&const_cast<Anasazi::MultiVec<ScalarType> &>(A));
assert(MyA!=NULL);
if ((*this)[0] == (*MyA)[0]) {
// If this == A, then need additional storage ...
// This situation is a bit peculiar but it may be required by
// certain algorithms.
std::vector<ScalarType> tmp(NumberVecs_);
for (int i = 0 ; i < Length_ ; ++i) {
for (int v = 0; v < A.GetNumberVecs() ; ++v) {
tmp[v] = (*MyA)(i, v);
}
for (int v = 0 ; v < B.numCols() ; ++v) {
(*this)(i, v) *= beta;
ScalarType res = Teuchos::ScalarTraits<ScalarType>::zero();
for (int j = 0 ; j < A.GetNumberVecs() ; ++j) {
res += tmp[j] * B(j, v);
}
(*this)(i, v) += alpha * res;
}
}
}
else {
for (int i = 0 ; i < Length_ ; ++i) {
for (int v = 0 ; v < B.numCols() ; ++v) {
(*this)(i, v) *= beta;
ScalarType res = 0.0;
for (int j = 0 ; j < A.GetNumberVecs() ; ++j) {
res += (*MyA)(i, j) * B(j, v);
}
(*this)(i, v) += alpha * res;
}
}
}
}
// Copy the vectors in A to a set of vectors in *this. The numvecs vectors in
// A are copied to a subset of vectors in *this indicated by the indices given
// in index.
// FIXME: not so clear what the size of A and index.size() are...
void SetBlock (const Anasazi::MultiVec<ScalarType>& A,
const std::vector<int> &index)
{
MyMultiVec* MyA;
MyA = dynamic_cast<MyMultiVec*>(&const_cast<Anasazi::MultiVec<ScalarType> &>(A));
assert (MyA != 0);
assert (A.GetNumberVecs() >= (int)index.size());
assert (A.GetVecLength() == Length_);
for (unsigned int v = 0 ; v < index.size() ; ++v) {
for (int i = 0 ; i < Length_ ; ++i) {
(*this)(i, index[v]) = (*MyA)(i, v);
}
}
}
// Compute a dense matrix B through the matrix-matrix multiply alpha * A^H * (*this).
void MvTransMv (ScalarType alpha, const Anasazi::MultiVec<ScalarType>& A,
Teuchos::SerialDenseMatrix< int, ScalarType >& B
#ifdef HAVE_ANASAZI_EXPERIMENTAL
, Anasazi::ConjType conj
#endif
) const
{
MyMultiVec* MyA;
MyA = dynamic_cast<MyMultiVec*>(&const_cast<Anasazi::MultiVec<ScalarType> &>(A));
assert (MyA != 0);
assert (A.GetVecLength() == Length_);
assert (NumberVecs_ <= B.numCols());
assert (A.GetNumberVecs() <= B.numRows());
#ifdef HAVE_ANASAZI_EXPERIMENTAL
if (conj == Anasazi::CONJ) {
#endif
for (int v = 0 ; v < A.GetNumberVecs() ; ++v) {
for (int w = 0 ; w < NumberVecs_ ; ++w) {
ScalarType value = 0.0;
for (int i = 0 ; i < Length_ ; ++i) {
value += Teuchos::ScalarTraits<ScalarType>::conjugate((*MyA)(i, v)) * (*this)(i, w);
}
B(v, w) = alpha * value;
}
}
#ifdef HAVE_ANASAZI_EXPERIMENTAL
} else {
for (int v = 0 ; v < A.GetNumberVecs() ; ++v) {
for (int w = 0 ; w < NumberVecs_ ; ++w) {
ScalarType value = 0.0;
for (int i = 0 ; i < Length_ ; ++i) {
value += (*MyA)(i, v) * (*this)(i, w);
}
B(v, w) = alpha * value;
}
}
}
#endif
}
// Replace *this with alpha * A + beta * B.
void MvAddMv (ScalarType alpha, const Anasazi::MultiVec<ScalarType>& A,
ScalarType beta, const Anasazi::MultiVec<ScalarType>& B)
{
MyMultiVec* MyA;
MyA = dynamic_cast<MyMultiVec*>(&const_cast<Anasazi::MultiVec<ScalarType> &>(A));
assert (MyA != 0);
MyMultiVec* MyB;
MyB = dynamic_cast<MyMultiVec*>(&const_cast<Anasazi::MultiVec<ScalarType> &>(B));
assert (MyB != 0);
assert (NumberVecs_ == A.GetNumberVecs());
assert (NumberVecs_ == B.GetNumberVecs());
assert (Length_ == A.GetVecLength());
assert (Length_ == B.GetVecLength());
for (int v = 0 ; v < NumberVecs_ ; ++v) {
for (int i = 0 ; i < Length_ ; ++i) {
(*this)(i, v) = alpha * (*MyA)(i, v) + beta * (*MyB)(i, v);
}
}
}
// Compute a vector b where the components are the individual dot-products, i.e.b[i] = A[i]^H*this[i] where A[i] is the i-th column of A.
void MvDot (const Anasazi::MultiVec<ScalarType>& A, std::vector<ScalarType> &b
#ifdef HAVE_ANASAZI_EXPERIMENTAL
, Anasazi::ConjType conj
#endif
) const
{
MyMultiVec* MyA;
MyA = dynamic_cast<MyMultiVec*>(&const_cast<Anasazi::MultiVec<ScalarType> &>(A));
assert (MyA != 0);
assert (NumberVecs_ <= (int)b.size());
assert (NumberVecs_ == A.GetNumberVecs());
assert (Length_ == A.GetVecLength());
#ifdef HAVE_ANASAZI_EXPERIMENTAL
if (conj == Anasazi::CONJ) {
#endif
for (int v = 0 ; v < NumberVecs_ ; ++v) {
ScalarType value = 0.0;
for (int i = 0 ; i < Length_ ; ++i) {
value += (*this)(i, v) * Teuchos::ScalarTraits<ScalarType>::conjugate((*MyA)(i, v));
}
b[v] = value;
}
#ifdef HAVE_ANASAZI_EXPERIMENTAL
} else {
for (int v = 0 ; v < NumberVecs_ ; ++v) {
ScalarType value = 0.0;
for (int i = 0 ; i < Length_ ; ++i) {
value += (*this)(i, v) * (*MyA)(i, v);
}
b[v] = value;
}
}
#endif
}