Base interface for product vectors. More...

#include <Thyra_ProductVectorBase.hpp>

Inheritance diagram for Thyra::ProductVectorBase< Scalar >:

Public Member Functions
virtual RCP< VectorBase< Scalar > >	getNonconstVectorBlock (const int k)=0
	Returns a non-persisting non-`const` view of the (zero-based) `k`th block vector. More...

virtual RCP< const VectorBase < Scalar > >	getVectorBlock (const int k) const =0
	Returns a non-persisting `const` view of the (zero-based) `k`th block vector. More...

Public Member Functions inherited from Thyra::VectorBase< Scalar >
void	assign (const VectorBase< Scalar > &x)
	Vector assignment: More...

void	randomize (Scalar l, Scalar u)
	Random vector generation: More...

void	update (Scalar alpha, const VectorBase< Scalar > &x)
	AXPY: More...

void	linear_combination (const ArrayView< const Scalar > &alpha, const ArrayView< const Ptr< const VectorBase< Scalar > > > &x, const Scalar &beta)
	Linear combination: More...

Scalar	dot (const VectorBase< Scalar > &x) const
	Euclidean dot product: `result = x^H * this`. More...

Teuchos::ScalarTraits< Scalar > ::magnitudeType	norm_1 () const
	One (1) norm: `result = \|\|v\|\|1`. More...

Teuchos::ScalarTraits< Scalar > ::magnitudeType	norm_2 () const
	Euclidean (2) norm: `result = \|\|v\|\|2`. More...

Teuchos::ScalarTraits< Scalar > ::magnitudeType	norm_2 (const VectorBase< Scalar > &x) const
	Weighted Euclidean (2) norm: `result = \|\|v\|\|2`. More...

Teuchos::ScalarTraits< Scalar > ::magnitudeType	norm_inf () const
	Infinity norm: `result = \|\|v\|\|inf`. More...

virtual RCP< const VectorSpaceBase< Scalar > >	space () const =0
	Return a smart pointer to the vector space that this vector belongs to. More...

void	applyOp (const RTOpPack::RTOpT< Scalar > &op, const ArrayView< const Ptr< const VectorBase< Scalar > > > &vecs, const ArrayView< const Ptr< VectorBase< Scalar > > > &targ_vecs, const Ptr< RTOpPack::ReductTarget > &reduct_obj, const Ordinal global_offset) const
	Calls applyOpImpl(). More...

virtual RCP< VectorBase< Scalar > >	clone_v () const =0
	Returns a seprate cloned copy of `*this` vector with the same values but different storage. More...

void	acquireDetachedView (const Range1D &rng, RTOpPack::ConstSubVectorView< Scalar > *sub_vec) const
	Calls acquireDetachedVectorViewImpl(). More...

void	releaseDetachedView (RTOpPack::ConstSubVectorView< Scalar > *sub_vec) const
	Calls releaseDetachedVectorViewImpl(). More...

void	acquireDetachedView (const Range1D &rng, RTOpPack::SubVectorView< Scalar > *sub_vec)
	Calls acquireNonconstDetachedVectorViewImpl(). More...

void	commitDetachedView (RTOpPack::SubVectorView< Scalar > *sub_vec)
	Calls commitDetachedView(). More...

void	setSubVector (const RTOpPack::SparseSubVectorT< Scalar > &sub_vec)
	Calls setSubVectorImpl(). More...

Public Member Functions inherited from Thyra::MultiVectorBase< Scalar >
void	assign (Scalar alpha)
	V = alpha. More...

void	assign (const MultiVectorBase< Scalar > &mv)
	V = mv. More...

void	scale (Scalar alpha)

void	update (Scalar alpha, const MultiVectorBase< Scalar > &mv)

void	linear_combination (const ArrayView< const Scalar > &alpha, const ArrayView< const Ptr< const MultiVectorBase< Scalar > > > &mv, const Scalar &beta)
	`Y.col(j)(i) = betaY.col(j)(i) + sum( alpha[k]X[k].col(j)(i),` More...

void	dots (const MultiVectorBase< Scalar > &mv, const ArrayView< Scalar > &prods) const
	Column-wise Euclidean dot product. More...

void	norms_1 (const ArrayView< typename ScalarTraits< Scalar >::magnitudeType > &norms) const
	Column-wise 1-norms. More...

void	norms_2 (const ArrayView< typename ScalarTraits< Scalar >::magnitudeType > &norms) const
	Column-wise 2-norms. More...

void	norms_inf (const ArrayView< typename ScalarTraits< Scalar >::magnitudeType > &norms) const
	Column-wise infinity-norms. More...

RCP< const VectorBase< Scalar > >	col (Ordinal j) const
	Calls colImpl(). More...

RCP< VectorBase< Scalar > >	col (Ordinal j)
	Calls nonconstColImpl(). More...

RCP< const MultiVectorBase < Scalar > >	subView (const Range1D &colRng) const
	Calls contigSubViewImpl(). More...

RCP< MultiVectorBase< Scalar > >	subView (const Range1D &colRng)
	Calls nonconstContigSubViewImpl(). More...

RCP< const MultiVectorBase < Scalar > >	subView (const ArrayView< const int > &cols) const
	nonContigSubViewImpl(). More...

RCP< MultiVectorBase< Scalar > >	subView (const ArrayView< const int > &cols)
	nonconstNonContigSubViewImpl(). More...

void	applyOp (const RTOpPack::RTOpT< Scalar > &primary_op, const ArrayView< const Ptr< const MultiVectorBase< Scalar > > > &multi_vecs, const ArrayView< const Ptr< MultiVectorBase< Scalar > > > &targ_multi_vecs, const ArrayView< const Ptr< RTOpPack::ReductTarget > > &reduct_objs, const Ordinal primary_global_offset) const
	Calls mvMultiReductApplyOpImpl(). More...

void	applyOp (const RTOpPack::RTOpT< Scalar > &primary_op, const RTOpPack::RTOpT< Scalar > &secondary_op, const ArrayView< const Ptr< const MultiVectorBase< Scalar > > > &multi_vecs, const ArrayView< const Ptr< MultiVectorBase< Scalar > > > &targ_multi_vecs, const Ptr< RTOpPack::ReductTarget > &reduct_obj, const Ordinal primary_global_offset) const
	mvSingleReductApplyOpImpl(). More...

void	acquireDetachedView (const Range1D &rowRng, const Range1D &colRng, RTOpPack::ConstSubMultiVectorView< Scalar > *sub_mv) const
	Calls acquireDetachedMultiVectorViewImpl(). More...

void	releaseDetachedView (RTOpPack::ConstSubMultiVectorView< Scalar > *sub_mv) const
	Calls releaseDetachedMultiVectorViewImpl(). More...

void	acquireDetachedView (const Range1D &rowRng, const Range1D &colRng, RTOpPack::SubMultiVectorView< Scalar > *sub_mv)
	Calls acquireNonconstDetachedMultiVectorViewImpl(). More...

void	commitDetachedView (RTOpPack::SubMultiVectorView< Scalar > *sub_mv)
	Calls commitNonconstDetachedMultiVectorViewImpl(). More...

virtual RCP< MultiVectorBase < Scalar > >	clone_mv () const =0
	Clone the multi-vector object (if supported). More...

RCP< const LinearOpBase< Scalar > >	clone () const
	This function is simply overridden to return `this->clone_mv()`. More...

Public Member Functions inherited from Thyra::LinearOpBase< Scalar >
virtual RCP< const VectorSpaceBase< Scalar > >	range () const =0
	Return a smart pointer for the range space for `this` operator. More...

virtual RCP< const VectorSpaceBase< Scalar > >	domain () const =0
	Return a smart pointer for the domain space for `this` operator. More...

bool	opSupported (EOpTransp M_trans) const
	Return if the `M_trans` operation of `apply()` is supported or not. More...

void	apply (const EOpTransp M_trans, const MultiVectorBase< Scalar > &X, const Ptr< MultiVectorBase< Scalar > > &Y, const Scalar alpha, const Scalar beta) const
	Apply the linear operator to a multi-vector : `Y = alphaop(M)X + beta*Y`. More...

Public Member Functions inherited from Thyra::RowStatLinearOpBase< Scalar >
bool	rowStatIsSupported (const RowStatLinearOpBaseUtils::ERowStat rowStat) const
	Determine if a given row stat is supported. More...

void	getRowStat (const RowStatLinearOpBaseUtils::ERowStat rowStat, const Ptr< VectorBase< Scalar > > &rowStatVec) const
	Get some statistics about a supported row. More...

Public Member Functions inherited from Thyra::ScaledLinearOpBase< Scalar >
bool	supportsScaleLeft () const
	Determines if this objects supports left scaling. More...

bool	supportsScaleRight () const
	Determines if this objects supports right scaling. More...

void	scaleLeft (const VectorBase< Scalar > &row_scaling)
	Left scales operator with diagonal scaling operator. More...

void	scaleRight (const VectorBase< Scalar > &col_scaling)
	Right scales operator with diagonal scaling operator. More...

Public Member Functions inherited from Thyra::ProductMultiVectorBase< Scalar >
virtual Teuchos::RCP< const ProductVectorSpaceBase< Scalar > >	productSpace () const =0
	Returns the associated product vector space that represents the range. More...

virtual bool	blockIsConst (const int k) const =0
	Return if the `kth` multi-vector block is const-only. More...

virtual Teuchos::RCP < MultiVectorBase< Scalar > >	getNonconstMultiVectorBlock (const int k)=0
	Returns a non-persisting non-`const` view of the zero-based `kth` block multi-vector. More...

virtual Teuchos::RCP< const MultiVectorBase< Scalar > >	getMultiVectorBlock (const int k) const =0
	Returns a non-persisting `const` view of the (zero-based) `kth` block multi-vector. More...

Related Functions
(Note that these are not member functions.)
template<class Scalar >
RCP< Thyra::ProductVectorBase < Scalar > >	nonconstProductVectorBase (const RCP< Thyra::VectorBase< Scalar > > &v)
	Dynamic cast from a `VectorBase` to a `ProductVectorBase` object and thow exception if this fails. More...

template<class Scalar >
RCP< const Thyra::ProductVectorBase < Scalar > >	productVectorBase (const RCP< const Thyra::VectorBase< Scalar > > &v)
	Dynamic cast from a `const VectorBase` to a `const ProductVectorBase` object and thow exception if this fails. More...

Related Functions inherited from Thyra::VectorBase< Scalar >
template<class Scalar >
void	applyOp (const RTOpPack::RTOpT< Scalar > &op, const ArrayView< const Ptr< const VectorBase< Scalar > > > &vecs, const ArrayView< const Ptr< VectorBase< Scalar > > > &targ_vecs, const Ptr< RTOpPack::ReductTarget > &reduct_obj, const Ordinal global_offset=0)
	Apply a reduction/transformation operator over a set of vectors: `op(op(v[0]...v[nv-1],z[0]...z[nz-1]),(reduct_obj)) -> z[0]...z[nz-1],(reduct_obj)`. More...

template<class Scalar >
Scalar	sum (const VectorBase< Scalar > &v)
	Sum of vector elements: `result = sum( v(i), i = 0...v.space()->dim()-1 )`. More...

template<class Scalar >
Scalar	scalarProd (const VectorBase< Scalar > &x, const VectorBase< Scalar > &y)
	Scalar product `result = <x,y>`. More...

template<class Scalar >
Scalar	inner (const VectorBase< Scalar > &x, const VectorBase< Scalar > &y)
	Inner/Scalar product `result = <x,y>`. More...

template<class Scalar >
Teuchos::ScalarTraits< Scalar > ::magnitudeType	norm (const VectorBase< Scalar > &v)
	Natural norm: `result = sqrt(<v,v>)`. More...

template<class Scalar >
Teuchos::ScalarTraits< Scalar > ::magnitudeType	norm_1 (const VectorBase< Scalar > &v)
	One (1) norm: `result = \|\|v\|\|1`. More...

template<class Scalar >
Teuchos::ScalarTraits< Scalar > ::magnitudeType	norm_2 (const VectorBase< Scalar > &v)
	Euclidean (2) norm: `result = \|\|v\|\|2`. More...

template<class Scalar >
Teuchos::ScalarTraits< Scalar > ::magnitudeType	norm_2 (const VectorBase< Scalar > &w, const VectorBase< Scalar > &v)
	Weighted Euclidean (2) norm: `result = sqrt( sum( w(i)conj(v(i))v(i)) )`. More...

template<class Scalar >
Teuchos::ScalarTraits< Scalar > ::magnitudeType	norm_inf (const VectorBase< Scalar > &v_rhs)
	Infinity norm: `result = \|\|v\|\|inf`. More...

template<class Scalar >
Scalar	dot (const VectorBase< Scalar > &x, const VectorBase< Scalar > &y)
	Dot product: `result = conj(x)'*y`. More...

template<class Scalar >
Scalar	get_ele (const VectorBase< Scalar > &v, Ordinal i)
	Get single element: `result = v(i)`. More...

template<class Scalar >
void	set_ele (Ordinal i, Scalar alpha, const Ptr< VectorBase< Scalar > > &v)
	Set single element: `v(i) = alpha`. More...

template<class Scalar >
void	put_scalar (const Scalar &alpha, const Ptr< VectorBase< Scalar > > &y)
	Assign all elements to a scalar: `y(i) = alpha, i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	copy (const VectorBase< Scalar > &x, const Ptr< VectorBase< Scalar > > &y)
	Vector assignment: `y(i) = x(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	add_scalar (const Scalar &alpha, const Ptr< VectorBase< Scalar > > &y)
	Add a scalar to all elements: `y(i) += alpha, i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	scale (const Scalar &alpha, const Ptr< VectorBase< Scalar > > &y)
	Scale all elements by a scalar: `y(i) *= alpha, i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	abs (const VectorBase< Scalar > &x, const Ptr< VectorBase< Scalar > > &y)
	Element-wise absolute value: `y(i) = abs(x(i)), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	reciprocal (const VectorBase< Scalar > &x, const Ptr< VectorBase< Scalar > > &y)
	Element-wise reciprocal: `y(i) = 1/x(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	ele_wise_prod (const Scalar &alpha, const VectorBase< Scalar > &x, const VectorBase< Scalar > &v, const Ptr< VectorBase< Scalar > > &y)
	Element-wise product update: `y(i) += alpha * x(i) * v(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	pair_wise_max (const Scalar &alpha, const VectorBase< Scalar > &x, const VectorBase< Scalar > &v, const Ptr< VectorBase< Scalar > > &y)
	Element-wise maximum: `y(i) = alpha * max(x(i), v(i)), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	ele_wise_conj_prod (const Scalar &alpha, const VectorBase< Scalar > &x, const VectorBase< Scalar > &v, const Ptr< VectorBase< Scalar > > &y)
	Element-wise conjugate product update: `y(i) += alpha * conj(x(i)) * v(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	ele_wise_scale (const VectorBase< Scalar > &x, const Ptr< VectorBase< Scalar > > &y)
	Element-wise scaling: `y(i) *= x(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	Vp_StVtV (const Ptr< VectorBase< Scalar > > &y, const Scalar &alpha, const VectorBase< Scalar > &x, const VectorBase< Scalar > &v)
	Element-wise product update: `y(i) += alpha * x(i) * v(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	ele_wise_prod_update (const Scalar &alpha, const VectorBase< Scalar > &x, const Ptr< VectorBase< Scalar > > &y)
	Element-wise product update: `y(i) = alpha x(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	pair_wise_max_update (const Scalar &alpha, const VectorBase< Scalar > &x, const Ptr< VectorBase< Scalar > > &y)
	Element-wise maximum update: `y(i) = alpha * max(x(i), y(i)), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	Vt_StV (const Ptr< VectorBase< Scalar > > &y, const Scalar &alpha, const VectorBase< Scalar > &x)
	Element-wise product update: `y(i) = alpha x(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	ele_wise_divide (const Scalar &alpha, const VectorBase< Scalar > &x, const VectorBase< Scalar > &v, const Ptr< VectorBase< Scalar > > &y)
	Element-wise division update: `y(i) += alpha * x(i) / v(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	linear_combination (const ArrayView< const Scalar > &alpha, const ArrayView< const Ptr< const VectorBase< Scalar > > > &x, const Scalar &beta, const Ptr< VectorBase< Scalar > > &y)
	Linear combination: `y(i) = betay(i) + sum( alpha[k]x[k](i), k=0...m-1 ), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	seed_randomize (unsigned int s)
	Seed the random number generator used in `randomize()`. More...

template<class Scalar >
void	randomize (Scalar l, Scalar u, const Ptr< VectorBase< Scalar > > &v)
	Random vector generation: `v(i) = rand(l,u), , i = 1...v->space()->dim()`. More...

template<class Scalar >
void	assign (const Ptr< VectorBase< Scalar > > &y, const Scalar &alpha)
	Assign all elements to a scalar: `y(i) = alpha, i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	assign (const Ptr< VectorBase< Scalar > > &y, const VectorBase< Scalar > &x)
	Vector assignment: `y(i) = x(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	Vp_S (const Ptr< VectorBase< Scalar > > &y, const Scalar &alpha)
	Add a scalar to all elements: `y(i) += alpha, i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	Vt_S (const Ptr< VectorBase< Scalar > > &y, const Scalar &alpha)
	Scale all elements by a scalar: `y(i) *= alpha, i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	V_StV (const Ptr< VectorBase< Scalar > > &y, const Scalar &alpha, const VectorBase< Scalar > &x)
	Assign scaled vector: `y(i) = alpha * x(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	Vp_StV (const Ptr< VectorBase< Scalar > > &y, const Scalar &alpha, const VectorBase< Scalar > &x)
	AXPY: `y(i) = alpha * x(i) + y(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	Vp_V (const Ptr< VectorBase< Scalar > > &y, const VectorBase< Scalar > &x, const Scalar &beta=static_cast< Scalar >(1.0))
	`y(i) = x(i) + beta*y(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	V_V (const Ptr< VectorBase< Scalar > > &y, const VectorBase< Scalar > &x)
	`y(i) = x(i), i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	V_S (const Ptr< VectorBase< Scalar > > &y, const Scalar &alpha)
	`y(i) = alpha, i = 0...y->space()->dim()-1`. More...

template<class Scalar >
void	V_VpV (const Ptr< VectorBase< Scalar > > &z, const VectorBase< Scalar > &x, const VectorBase< Scalar > &y)
	`z(i) = x(i) + y(i), i = 0...z->space()->dim()-1`. More...

template<class Scalar >
void	V_VmV (const Ptr< VectorBase< Scalar > > &z, const VectorBase< Scalar > &x, const VectorBase< Scalar > &y)
	`z(i) = x(i) - y(i), i = 0...z->space()->dim()-1`. More...

template<class Scalar >
void	V_StVpV (const Ptr< VectorBase< Scalar > > &z, const Scalar &alpha, const VectorBase< Scalar > &x, const VectorBase< Scalar > &y)
	`z(i) = alpha*x(i) + y(i), i = 0...z->space()->dim()-1`. More...

template<class Scalar >
void	V_VpStV (const Ptr< VectorBase< Scalar > > &z, const VectorBase< Scalar > &x, const Scalar &alpha, const VectorBase< Scalar > &y)
	`z(i) = x(i) + alpha*y(i), i = 0...z->space()->dim()-1`. More...

template<class Scalar >
void	V_StVpStV (const Ptr< VectorBase< Scalar > > &z, const Scalar &alpha, const VectorBase< Scalar > &x, const Scalar &beta, const VectorBase< Scalar > &y)
	`z(i) = alphax(i) + betay(i), i = 0...z->space()->dim()-1`. More...

template<class Scalar >
Scalar	min (const VectorBase< Scalar > &x)
	Min element: `result = min{ x(i), i = 0...x.space()->dim()-1 }` . More...

template<class Scalar >
void	min (const VectorBase< Scalar > &x, const Ptr< Scalar > &maxEle, const Ptr< Ordinal > &maxIndex)
	Min element and its index: Returns `maxEle = x(k)` and `maxIndex = k` such that `x(k) <= x(i)` for all `i = 0...x.space()->dim()-1`. More...

template<class Scalar >
void	minGreaterThanBound (const VectorBase< Scalar > &x, const Scalar &bound, const Ptr< Scalar > &minEle, const Ptr< Ordinal > &minIndex)
	Minimum element greater than some bound and its index: Returns `minEle = x(k)` and `minIndex = k` such that `x(k) <= x(i)` for all `i` where `x(i) > bound`. More...

template<class Scalar >
Scalar	max (const VectorBase< Scalar > &x)
	Max element: `result = max{ x(i), i = 1...n }` . More...

template<class Scalar >
void	max (const VectorBase< Scalar > &x, const Ptr< Scalar > &maxEle, const Ptr< Ordinal > &maxIndex)
	Max element and its index: Returns `maxEle = x(k)` and `maxIndex = k` such that `x(k) >= x(i)` for `i = 0...x.space()->dim()-1`. More...

template<class Scalar >
void	maxLessThanBound (const VectorBase< Scalar > &x, const Scalar &bound, const Ptr< Scalar > &maxEle, const Ptr< Ordinal > &maxIndex)
	Max element less than bound and its index: Returns `maxEle = x(k)` and `maxIndex = k` such that `x(k) >= x(i)` for all `i` where `x(i) < bound`. More...

Related Functions inherited from Thyra::MultiVectorBase< Scalar >
template<class Scalar >
void	applyOp (const RTOpPack::RTOpT< Scalar > &primary_op, const ArrayView< const Ptr< const MultiVectorBase< Scalar > > > &multi_vecs, const ArrayView< const Ptr< MultiVectorBase< Scalar > > > &targ_multi_vecs, const ArrayView< const Ptr< RTOpPack::ReductTarget > > &reduct_objs, const Ordinal primary_global_offset=0)
	Apply a reduction/transformation operator column by column and return an array of the reduction objects. More...

template<class Scalar >
void	applyOp (const RTOpPack::RTOpT< Scalar > &primary_op, const RTOpPack::RTOpT< Scalar > &secondary_op, const ArrayView< const Ptr< const MultiVectorBase< Scalar > > > &multi_vecs, const ArrayView< const Ptr< MultiVectorBase< Scalar > > > &targ_multi_vecs, const Ptr< RTOpPack::ReductTarget > &reduct_obj, const Ordinal primary_global_offset=0)
	Apply a reduction/transformation operator column by column and reduce the intermediate reduction objects into one reduction object. More...

template<class Scalar >
void	norms (const MultiVectorBase< Scalar > &V, const ArrayView< typename ScalarTraits< Scalar >::magnitudeType > &norms)
	Column-wise multi-vector natural norm. More...

template<class Scalar , class NormOp >
void	reductions (const MultiVectorBase< Scalar > &V, const NormOp &op, const ArrayView< typename ScalarTraits< Scalar >::magnitudeType > &norms)
	Column-wise multi-vector reductions. More...

template<class Scalar >
void	norms_1 (const MultiVectorBase< Scalar > &V, const ArrayView< typename ScalarTraits< Scalar >::magnitudeType > &norms)
	Column-wise multi-vector one norm. More...

template<class Scalar >
void	norms_2 (const MultiVectorBase< Scalar > &V, const ArrayView< typename ScalarTraits< Scalar >::magnitudeType > &norms)
	Column-wise multi-vector 2 (Euclidean) norm. More...

template<class Scalar >
void	norms_inf (const MultiVectorBase< Scalar > &V, const ArrayView< typename ScalarTraits< Scalar >::magnitudeType > &norms)
	Column-wise multi-vector infinity norm. More...

template<class Scalar >
Array< typename ScalarTraits < Scalar >::magnitudeType >	norms_inf (const MultiVectorBase< Scalar > &V)
	Column-wise multi-vector infinity norm. More...

template<class Scalar >
void	dots (const MultiVectorBase< Scalar > &V1, const MultiVectorBase< Scalar > &V2, const ArrayView< Scalar > &dots)
	Multi-vector dot product. More...

template<class Scalar >
void	sums (const MultiVectorBase< Scalar > &V, const ArrayView< Scalar > &sums)
	Multi-vector column sum. More...

template<class Scalar >
ScalarTraits< Scalar > ::magnitudeType	norm_1 (const MultiVectorBase< Scalar > &V)
	Take the induced matrix one norm of a multi-vector. More...

template<class Scalar >
void	scale (Scalar alpha, const Ptr< MultiVectorBase< Scalar > > &V)
	V = alpha*V. More...

template<class Scalar >
void	scaleUpdate (const VectorBase< Scalar > &a, const MultiVectorBase< Scalar > &U, const Ptr< MultiVectorBase< Scalar > > &V)
	A*U + V -> V (where A is a diagonal matrix with diagonal a). More...

template<class Scalar >
void	assign (const Ptr< MultiVectorBase< Scalar > > &V, Scalar alpha)
	V = alpha. More...

template<class Scalar >
void	assign (const Ptr< MultiVectorBase< Scalar > > &V, const MultiVectorBase< Scalar > &U)
	V = U. More...

template<class Scalar >
void	update (Scalar alpha, const MultiVectorBase< Scalar > &U, const Ptr< MultiVectorBase< Scalar > > &V)
	alpha*U + V -> V. More...

template<class Scalar >
void	update (const ArrayView< const Scalar > &alpha, Scalar beta, const MultiVectorBase< Scalar > &U, const Ptr< MultiVectorBase< Scalar > > &V)
	alpha[j]betaU(j) + V(j) - > V(j), for j = 0 ,,, More...

template<class Scalar >
void	update (const MultiVectorBase< Scalar > &U, const ArrayView< const Scalar > &alpha, Scalar beta, const Ptr< MultiVectorBase< Scalar > > &V)
	U(j) + alpha[j]betaV(j) - > V(j), for j = 0 ,,, U.domain()->dim()-1. More...

template<class Scalar >
void	linear_combination (const ArrayView< const Scalar > &alpha, const ArrayView< const Ptr< const MultiVectorBase< Scalar > > > &X, const Scalar &beta, const Ptr< MultiVectorBase< Scalar > > &Y)
	`Y.col(j)(i) = betaY.col(j)(i) + sum( alpha[k]X[k].col(j)(i), k=0...m-1 )`, for `i = 0...Y->range()->dim()-1`, `j = 0...Y->domain()->dim()-1`. More...

template<class Scalar >
void	randomize (Scalar l, Scalar u, const Ptr< MultiVectorBase< Scalar > > &V)
	Generate a random multi-vector with elements uniformly distributed elements. More...

template<class Scalar >
void	Vt_S (const Ptr< MultiVectorBase< Scalar > > &Z, const Scalar &alpha)
	`Z(i,j) *= alpha, i = 0...Z->range()->dim()-1, j = 0...Z->domain()->dim()-1`. More...

template<class Scalar >
void	Vp_S (const Ptr< MultiVectorBase< Scalar > > &Z, const Scalar &alpha)
	`Z(i,j) += alpha, i = 0...Z->range()->dim()-1, j = 0...Z->domain()->dim()-1`. More...

template<class Scalar >
void	Vp_V (const Ptr< MultiVectorBase< Scalar > > &Z, const MultiVectorBase< Scalar > &X)
	`Z(i,j) += X(i,j), i = 0...Z->range()->dim()-1, j = 0...Z->domain()->dim()-1`. More...

template<class Scalar >
void	V_VpV (const Ptr< MultiVectorBase< Scalar > > &Z, const MultiVectorBase< Scalar > &X, const MultiVectorBase< Scalar > &Y)
	`Z(i,j) = X(i,j) + Y(i,j), i = 0...Z->range()->dim()-1, j = 0...Z->domain()->dim()-1`. More...

template<class Scalar >
void	V_VmV (const Ptr< MultiVectorBase< Scalar > > &Z, const MultiVectorBase< Scalar > &X, const MultiVectorBase< Scalar > &Y)
	`Z(i,j) = X(i,j) - Y(i,j), i = 0...Z->range()->dim()-1, j = 0...Z->domain()->dim()-1`. More...

template<class Scalar >
void	V_StVpV (const Ptr< MultiVectorBase< Scalar > > &Z, const Scalar &alpha, const MultiVectorBase< Scalar > &X, const MultiVectorBase< Scalar > &Y)
	`Z(i,j) = alpha*X(i,j) + Y(i), i = 0...z->space()->dim()-1`, , j = 0...Z->domain()->dim()-1. More...

Related Functions inherited from Thyra::LinearOpBase< Scalar >
template<class Scalar >
bool	isFullyUninitialized (const LinearOpBase< Scalar > &M)
	Determines if a linear operator is in the "Fully Uninitialized" state or not. More...

template<class Scalar >
bool	isPartiallyInitialized (const LinearOpBase< Scalar > &M)
	Determines if a linear operator is in the "Partially Initialized" state or not. More...

template<class Scalar >
bool	isFullyInitialized (const LinearOpBase< Scalar > &M)
	Determines if a linear operator is in the "Fully Initialized" state or not. More...

template<class Scalar >
bool	opSupported (const LinearOpBase< Scalar > &M, EOpTransp M_trans)
	Determines if an operation is supported for a single scalar type. More...

template<class Scalar >
void	apply (const LinearOpBase< Scalar > &M, const EOpTransp M_trans, const MultiVectorBase< Scalar > &X, const Ptr< MultiVectorBase< Scalar > > &Y, const Scalar alpha=static_cast< Scalar >(1.0), const Scalar beta=static_cast< Scalar >(0.0))
	Non-member function call for `M.apply(...)`. More...

void	apply (const LinearOpBase< double > &M, const EOpTransp M_trans, const MultiVectorBase< double > &X, const Ptr< MultiVectorBase< double > > &Y, const double alpha=1.0, const double beta=0.0)
	Calls `apply<double>(...)`. More...

Additional Inherited Members
Protected Member Functions inherited from Thyra::VectorBase< Scalar >
virtual void	assignVecImpl (const VectorBase< Scalar > &x)=0
	Virtual implementation for NVI assign. More...

virtual void	randomizeImpl (Scalar l, Scalar u)=0
	Virtual implementation for NVI randomize. More...

virtual void	absImpl (const VectorBase< Scalar > &x)=0
	Virtual implementation for NVI abs. More...

virtual void	reciprocalImpl (const VectorBase< Scalar > &x)=0
	Virtual implementation for NVI reciprocal. More...

virtual void	eleWiseScaleImpl (const VectorBase< Scalar > &x)=0
	Virtual implementation for NVI ele_wise_scale. More...

virtual void	updateVecImpl (Scalar alpha, const VectorBase< Scalar > &x)=0
	Virtual implementation for NVI update. More...

virtual void	linearCombinationVecImpl (const ArrayView< const Scalar > &alpha, const ArrayView< const Ptr< const VectorBase< Scalar > > > &x, const Scalar &beta)=0
	Virtual implementation for NVI linear_combination. More...

virtual Scalar	dotImpl (const VectorBase< Scalar > &x) const =0
	Virtual implementation for NVI dot. More...

virtual Teuchos::ScalarTraits < Scalar >::magnitudeType	norm1Impl () const =0
	Virtual implementation for NVI norm_1. More...

virtual Teuchos::ScalarTraits < Scalar >::magnitudeType	norm2Impl () const =0
	Virtual implementation for NVI norm_2. More...

virtual Teuchos::ScalarTraits < Scalar >::magnitudeType	norm2WeightedImpl (const VectorBase< Scalar > &x) const =0
	Virtual implementation for NVI norm_2 (weighted). More...

virtual Teuchos::ScalarTraits < Scalar >::magnitudeType	normInfImpl () const =0
	Virtual implementation for NVI norm_inf. More...

virtual void	applyOpImpl (const RTOpPack::RTOpT< Scalar > &op, const ArrayView< const Ptr< const VectorBase< Scalar > > > &vecs, const ArrayView< const Ptr< VectorBase< Scalar > > > &targ_vecs, const Ptr< RTOpPack::ReductTarget > &reduct_obj, const Ordinal global_offset) const =0
	Apply a reduction/transformation operator over a set of vectors: `op(op(v[0]...v[nv-1],z[0]...z[nz-1]),(reduct_obj)) -> z[0]...z[nz-1],(reduct_obj)`. More...

virtual void	acquireDetachedVectorViewImpl (const Range1D &rng, RTOpPack::ConstSubVectorView< Scalar > *sub_vec) const =0
	Get a non-mutable explicit view of a sub-vector. More...

virtual void	releaseDetachedVectorViewImpl (RTOpPack::ConstSubVectorView< Scalar > *sub_vec) const =0
	Free an explicit view of a sub-vector. More...

virtual void	acquireNonconstDetachedVectorViewImpl (const Range1D &rng, RTOpPack::SubVectorView< Scalar > *sub_vec)=0
	Get a mutable explicit view of a sub-vector. More...

virtual void	commitNonconstDetachedVectorViewImpl (RTOpPack::SubVectorView< Scalar > *sub_vec)=0
	Commit changes for a mutable explicit view of a sub-vector. More...

virtual void	setSubVectorImpl (const RTOpPack::SparseSubVectorT< Scalar > &sub_vec)=0
	Set a specific sub-vector. More...

Protected Member Functions inherited from Thyra::MultiVectorBase< Scalar >
void	absRowSum (const Teuchos::Ptr< Thyra::VectorBase< Scalar > > &output) const

void	absColSum (const Teuchos::Ptr< Thyra::VectorBase< Scalar > > &output) const

virtual void	assignImpl (Scalar alpha)=0
	Virtual implementation for NVI assign(Scalar). More...

virtual void	assignMultiVecImpl (const MultiVectorBase< Scalar > &mv)=0
	Virtual implementation for NVI assign(MV). More...

virtual void	scaleImpl (Scalar alpha)=0
	Virtual implementation for NVI scale(). More...

virtual void	updateImpl (Scalar alpha, const MultiVectorBase< Scalar > &mv)=0
	Virtual implementation for NVI update(). More...

virtual void	linearCombinationImpl (const ArrayView< const Scalar > &alpha, const ArrayView< const Ptr< const MultiVectorBase< Scalar > > > &mv, const Scalar &beta)=0
	Virtual implementation for NVI linear_combination(). More...

virtual void	dotsImpl (const MultiVectorBase< Scalar > &mv, const ArrayView< Scalar > &prods) const =0
	Virtual implementation for NVI dots(). More...

virtual void	norms1Impl (const ArrayView< typename ScalarTraits< Scalar >::magnitudeType > &norms) const =0
	Virtual implementation for NVI norms_1(). More...

virtual void	norms2Impl (const ArrayView< typename ScalarTraits< Scalar >::magnitudeType > &norms) const =0
	Virtual implementation for NVI norms_2(). More...

virtual void	normsInfImpl (const ArrayView< typename ScalarTraits< Scalar >::magnitudeType > &norms) const =0
	Virtual implementation for NVI norms_inf(). More...

virtual RCP< const VectorBase < Scalar > >	colImpl (Ordinal j) const
	Return a non-changeable view of a constituent column vector. More...

virtual RCP< VectorBase< Scalar > >	nonconstColImpl (Ordinal j)=0
	Return a changeable view of a constituent column vector. More...

virtual RCP< const MultiVectorBase< Scalar > >	contigSubViewImpl (const Range1D &colRng) const =0
	Return a non-changeable sub-view of a contiguous set of columns of the this multi-vector. More...

virtual RCP< MultiVectorBase < Scalar > >	nonconstContigSubViewImpl (const Range1D &colRng)=0
	Return a changeable sub-view of a contiguous set of columns of the this multi-vector. More...

virtual RCP< const MultiVectorBase< Scalar > >	nonContigSubViewImpl (const ArrayView< const int > &cols) const =0
	Return a non-changeable sub-view of a non-contiguous set of columns of this multi-vector. More...

virtual RCP< MultiVectorBase < Scalar > >	nonconstNonContigSubViewImpl (const ArrayView< const int > &cols)=0
	Return a changeable sub-view of a non-contiguous set of columns of this multi-vector. More...

virtual void	mvMultiReductApplyOpImpl (const RTOpPack::RTOpT< Scalar > &primary_op, const ArrayView< const Ptr< const MultiVectorBase< Scalar > > > &multi_vecs, const ArrayView< const Ptr< MultiVectorBase< Scalar > > > &targ_multi_vecs, const ArrayView< const Ptr< RTOpPack::ReductTarget > > &reduct_objs, const Ordinal primary_global_offset) const =0
	Apply a reduction/transformation operator column by column and return an array of the reduction objects. More...

virtual void	mvSingleReductApplyOpImpl (const RTOpPack::RTOpT< Scalar > &primary_op, const RTOpPack::RTOpT< Scalar > &secondary_op, const ArrayView< const Ptr< const MultiVectorBase< Scalar > > > &multi_vecs, const ArrayView< const Ptr< MultiVectorBase< Scalar > > > &targ_multi_vecs, const Ptr< RTOpPack::ReductTarget > &reduct_obj, const Ordinal primary_global_offset) const =0
	Apply a reduction/transformation operator column by column and reduce the intermediate reduction objects into a single reduction object. More...

virtual void	acquireDetachedMultiVectorViewImpl (const Range1D &rowRng, const Range1D &colRng, RTOpPack::ConstSubMultiVectorView< Scalar > *sub_mv) const =0
	Get a non-changeable explicit view of a sub-multi-vector. More...

virtual void	releaseDetachedMultiVectorViewImpl (RTOpPack::ConstSubMultiVectorView< Scalar > *sub_mv) const =0
	Free a non-changeable explicit view of a sub-multi-vector. More...

virtual void	acquireNonconstDetachedMultiVectorViewImpl (const Range1D &rowRng, const Range1D &colRng, RTOpPack::SubMultiVectorView< Scalar > *sub_mv)=0
	Get a changeable explicit view of a sub-multi-vector. More...

virtual void	commitNonconstDetachedMultiVectorViewImpl (RTOpPack::SubMultiVectorView< Scalar > *sub_mv)=0
	Commit changes for a changeable explicit view of a sub-multi-vector. More...

virtual bool	rowStatIsSupportedImpl (const RowStatLinearOpBaseUtils::ERowStat rowStat) const

virtual void	getRowStatImpl (const RowStatLinearOpBaseUtils::ERowStat rowStat, const Ptr< VectorBase< Scalar > > &rowStatVec) const

virtual bool	supportsScaleLeftImpl () const

virtual bool	supportsScaleRightImpl () const

virtual void	scaleLeftImpl (const VectorBase< Scalar > &row_scaling)

virtual void	scaleRightImpl (const VectorBase< Scalar > &col_scaling)

Protected Member Functions inherited from Thyra::LinearOpBase< Scalar >
virtual bool	opSupportedImpl (EOpTransp M_trans) const =0
	Override in subclass. More...

virtual void	applyImpl (const EOpTransp M_trans, const MultiVectorBase< Scalar > &X, const Ptr< MultiVectorBase< Scalar > > &Y, const Scalar alpha, const Scalar beta) const =0
	Override in subclass. More...

Protected Member Functions inherited from Thyra::RowStatLinearOpBase< Scalar >
Protected Member Functions inherited from Thyra::ScaledLinearOpBase< Scalar >

Detailed Description

template<class Scalar>
class Thyra::ProductVectorBase< Scalar >

Base interface for product vectors.

This class defines an abstract interface for a vector that is built out of the one or more other vectors to form what mathematicians like to call a "product vector".

A product vector is simply the concatenation of two or more vectors to form a larger "composite" vector. Specifically, a product vector with numBlock constituent block vectors represents the blocked vector

        [ v[0]           ]
        [ v[1]           ]
this =  [ .              ]
        [ v[numBlocks-1] ]

The constituent vectors v[k] can be accessed through the const and non-const access functions getBlock().

A product vector knows its product space which is returned by the productSpace() function. A ProductVectorBase object is created by a ProductVectorSpaceBase object and never directly created by clients.

This class is only an interface. A standard implementation of this interface that should be sufficient for 99% or so of use cases is provided in the concrete subclass DefaultProductVector.

Definition at line 87 of file Thyra_ProductVectorBase.hpp.

Member Function Documentation

template<class Scalar>

virtual RCP<VectorBase<Scalar> > Thyra::ProductVectorBase< Scalar >::getNonconstVectorBlock ( const int k )

pure virtual

Returns a non-persisting non-const view of the (zero-based) kth block vector.

Parameters

k	[in] The (zero-based) `k`th block index specifying which vector block to access.

Preconditions:

productSpace().get()!=NULL
0 <= k && k < productSpace()->numBlocks()
blockIsConst(k)==false

Note that *this is not guaranteed to be modified until the smart pointer returned from this function, as well as any other smart pointers created from this smart pointer, are destroyed. This requirement allows more flexibility in how this function is implemented.

Also note that no further interactions with *this should be performed until the view returned from this function is released as described above.

Implemented in Thyra::DefaultProductVector< Scalar >, Thyra::DefaultMultiVectorProductVector< Scalar >, and Thyra::DefaultClusteredSpmdProductVector< Scalar >.

template<class Scalar>

virtual RCP<const VectorBase<Scalar> > Thyra::ProductVectorBase< Scalar >::getVectorBlock ( const int k ) const

pure virtual

Returns a non-persisting const view of the (zero-based) kth block vector.

Parameters

k	[in] The (zero-based) `k`th block index specifying which vectorblock to access.

Preconditions:

productSpace().get()!=NULL
0 <= k <= productSpace()->numBlocks()-1tt>

Implemented in Thyra::DefaultProductVector< Scalar >, Thyra::DefaultMultiVectorProductVector< Scalar >, and Thyra::DefaultClusteredSpmdProductVector< Scalar >.

Friends And Related Function Documentation

template<class Scalar >

RCP< Thyra::ProductVectorBase< Scalar > > nonconstProductVectorBase ( const RCP< Thyra::VectorBase< Scalar > > & v )

Definition at line 148 of file Thyra_ProductVectorBase.hpp.

template<class Scalar >

RCP< const Thyra::ProductVectorBase< Scalar > > productVectorBase ( const RCP< const Thyra::VectorBase< Scalar > > & v )

Definition at line 164 of file Thyra_ProductVectorBase.hpp.

The documentation for this class was generated from the following file:

Thyra_ProductVectorBase.hpp

Public Member Functions

Related Functions

Additional Inherited Members

Detailed Description

template<class Scalar> class Thyra::ProductVectorBase< Scalar >

Member Function Documentation

Friends And Related Function Documentation

template<class Scalar>
class Thyra::ProductVectorBase< Scalar >