Thyra_VectorStdOpsDecl.hpp File Reference

#include "Thyra_OperatorVectorTypes.hpp"

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Namespaces
namespace	Thyra
Functions
template<class Scalar>
Scalar	sum (const VectorBase< Scalar > &v)
	Sum of vector elements: result = sum( v(i), i = 0...v.space()->dim()-1 ).
template<class Scalar>
Scalar	scalarProd (const VectorBase< Scalar > &x, const VectorBase< Scalar > &y)
	Scalar product result = <x,y>.
template<class Scalar>
Teuchos::ScalarTraits< Scalar >::magnitudeType	norm (const VectorBase< Scalar > &v)
	Natural norm: result = sqrt(<v,v>).
template<class Scalar>
Teuchos::ScalarTraits< Scalar >::magnitudeType	norm_1 (const VectorBase< Scalar > &v)
	One (1) norm: result = ||v||1.
template<class Scalar>
Teuchos::ScalarTraits< Scalar >::magnitudeType	norm_2 (const VectorBase< Scalar > &v)
	Euclidean (2) norm: result = ||v||2.
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)) ).
template<class Scalar>
Teuchos::ScalarTraits< Scalar >::magnitudeType	norm_inf (const VectorBase< Scalar > &v_rhs)
	Infinity norm: result = ||v||inf.
template<class Scalar>
Scalar	dot (const VectorBase< Scalar > &x, const VectorBase< Scalar > &y)
	Dot product: result = conj(x)'*y.
template<class Scalar>
Scalar	get_ele (const VectorBase< Scalar > &v, Index i)
	Get single element: result = v(i).
template<class Scalar>
void	set_ele (Index i, Scalar alpha, VectorBase< Scalar > *v)
	Set single element: v(i) = alpha.
template<class Scalar>
void	put_scalar (const Scalar &alpha, VectorBase< Scalar > *y)
	Assign all elements to a scalar: y(i) = alpha, i = 0...y->space()->dim()-1.
template<class Scalar>
void	copy (const VectorBase< Scalar > &x, VectorBase< Scalar > *y)
	VectorBase assignment: y(i) = x(i), i = 0...y->space()->dim()-1.
template<class Scalar>
void	add_scalar (const Scalar &alpha, VectorBase< Scalar > *y)
	Add a scalar to all elements: y(i) += alpha, i = 0...y->space()->dim()-1.
template<class Scalar>
void	scale (const Scalar &alpha, VectorBase< Scalar > *y)
	Scale all elements by a scalar: y(i) *= alpha, i = 0...y->space()->dim()-1.
template<class Scalar>
void	abs (VectorBase< Scalar > *y, const VectorBase< Scalar > &x)
	Element-wise absolute valuey(i) = abs(x(i)), i = 0...y->space()->dim()-1.
template<class Scalar>
void	reciprocal (VectorBase< Scalar > *y, const VectorBase< Scalar > &x)
	Element-wise reciprocal: y(i) = 1/x(i), i = 0...y->space()->dim()-1.
template<class Scalar>
void	ele_wise_prod (const Scalar &alpha, const VectorBase< Scalar > &x, const VectorBase< Scalar > &v, VectorBase< Scalar > *y)
	Element-wise product update: y(i) += alpha * x(i) * v(i), i = 0...y->space()->dim()-1.
template<class Scalar>
void	Vp_StVtV (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.
template<class Scalar>
void	ele_wise_prod_update (const Scalar &alpha, const VectorBase< Scalar > &x, VectorBase< Scalar > *y)
	Element-wise product update: y(i) *= alpha * x(i), i = 0...y->space()->dim()-1.
template<class Scalar>
void	Vt_StV (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.
template<class Scalar>
void	ele_wise_divide (const Scalar &alpha, const VectorBase< Scalar > &x, const VectorBase< Scalar > &v, VectorBase< Scalar > *y)
	Element-wise division update: y(i) += alpha * x(i) / v(i), i = 0...y->space()->dim()-1.
template<class Scalar>
void	linear_combination (const int m, const Scalar alpha[], const VectorBase< Scalar > *x[], const Scalar &beta, VectorBase< Scalar > *y)
	Linear combination: y(i) = beta*y(i) + sum( alpha[k]*x[k](i), k=0...m-1 ), i = 0...y->space()->dim()-1.
template<class Scalar>
void	seed_randomize (unsigned int s)
	Seed the random number generator used in randomize().
template<class Scalar>
void	randomize (Scalar l, Scalar u, VectorBase< Scalar > *v)
	Random vector generation: v(i) = rand(l,u), , i = 1...v->space()->dim().
template<class Scalar>
void	assign (VectorBase< Scalar > *y, const Scalar &alpha)
	Assign all elements to a scalar: y(i) = alpha, i = 0...y->space()->dim()-1.
template<class Scalar>
void	assign (VectorBase< Scalar > *y, const VectorBase< Scalar > &x)
	VectorBase assignment: y(i) = x(i), i = 0...y->space()->dim()-1.
template<class Scalar>
void	Vp_S (VectorBase< Scalar > *y, const Scalar &alpha)
	Add a scalar to all elements: y(i) += alpha, i = 0...y->space()->dim()-1.
template<class Scalar>
void	Vt_S (VectorBase< Scalar > *y, const Scalar &alpha)
	Scale all elements by a scalar: y(i) *= alpha, i = 0...y->space()->dim()-1.
template<class Scalar>
void	V_StV (VectorBase< Scalar > *y, const Scalar &alpha, const VectorBase< Scalar > &x)
	Assign scaled vector: y(i) = alpha * x(i), i = 0...y->space()->dim()-1.
template<class Scalar>
void	Vp_StV (VectorBase< Scalar > *y, const Scalar &alpha, const VectorBase< Scalar > &x)
	AXPY: y(i) = alpha * x(i) + y(i), i = 0...y->space()->dim()-1.
template<class Scalar>
void	Vp_V (VectorBase< Scalar > *y, const VectorBase< Scalar > &x, const Scalar &beta)
	y(i) = x(i) + beta*y(i), i = 0...y->space()->dim()-1.
template<class Scalar>
void	Vp_V (VectorBase< Scalar > *y, const VectorBase< Scalar > &x)
template<class Scalar>
void	V_V (VectorBase< Scalar > *y, const VectorBase< Scalar > &x)
	y(i) = x(i), i = 0...y->space()->dim()-1.
template<class Scalar>
void	V_S (VectorBase< Scalar > *y, const Scalar &alpha)
	y(i) = alpha, i = 0...y->space()->dim()-1.
template<class Scalar>
void	V_VpV (VectorBase< Scalar > *z, const VectorBase< Scalar > &x, const VectorBase< Scalar > &y)
	z(i) = x(i) + y(i), i = 0...z->space()->dim()-1.
template<class Scalar>
void	V_VmV (VectorBase< Scalar > *z, const VectorBase< Scalar > &x, const VectorBase< Scalar > &y)
	z(i) = x(i) - y(i), i = 0...z->space()->dim()-1.
template<class Scalar>
void	V_StVpV (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.
template<class Scalar>
void	V_StVpStV (VectorBase< Scalar > *z, const Scalar &alpha, const VectorBase< Scalar > &x, const Scalar &beta, const VectorBase< Scalar > &y)
	z(i) = alpha*x(i) + beta*y(i), i = 0...z->space()->dim()-1.
template<class Scalar>
Scalar	min (const VectorBase< Scalar > &x)
	Min element: result = min{ x(i), i = 0...x.space()->dim()-1 } .
template<class Scalar>
void	min (const VectorBase< Scalar > &x, Scalar *maxEle, Index *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.
template<class Scalar>
void	minGreaterThanBound (const VectorBase< Scalar > &x, const Scalar &bound, Scalar *minEle, Index *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.
template<class Scalar>
Scalar	max (const VectorBase< Scalar > &x)
	Max element: result = max{ x(i), i = 1...n } .
template<class Scalar>
void	max (const VectorBase< Scalar > &x, Scalar *maxEle, Index *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.
template<class Scalar>
void	maxLessThanBound (const VectorBase< Scalar > &x, const Scalar &bound, Scalar *maxEle, Index *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.

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