retractions.cpp File Reference

Implementation of the retractions declared in retractions.h. More...

#include <xerus.h>
#include <xerus/misc/internal.h>

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Namespaces
	xerus
	The main namespace of xerus.

Functions
void	xerus::ALSRetractionI (TTTensor &_U, const TTTangentVector &_change)
	retraction that performs an ALS half-sweep to project back onto the Manifold. Automatically retains the ranks of _U More...
void	xerus::ALSRetractionII (TTTensor &_U, const TTTensor &_change)
	retraction that performs an ALS half-sweep to project back onto the Manifold. Automatically retains the ranks of _U More...
void	xerus::HOSVDRetractionI (TTTensor &_U, const TTTangentVector &_change)
	retraction that performs a HOSVD to project back onto the Manifold More...
void	xerus::HOSVDRetractionII (TTTensor &_U, const TTTensor &_change)
TTTangentVector	xerus::operator* (value_t _alpha, const TTTangentVector &_rhs)
void	xerus::ProjectiveVectorTransport (const TTTensor &_newBase, TTTangentVector &_tangentVector)
	simple vector transport by projecting onto the new tangent plane More...
void	xerus::SubmanifoldRetractionI (TTTensor &_U, const TTTangentVector &_change)
	retraction that performs componentwise addition of \( U_i \) and \( W_i \) where \( W_i \) is the i-th component of the riemannian tangential vector representation More...
void	xerus::SubmanifoldRetractionII (TTTensor &_U, const TTTensor &_change)
	retraction that performs componentwise addition of \( U_i \) and \( W_i \) where \( W_i \) is the i-th component of the riemannian tangential vector representation More...

Detailed Description

Implementation of the retractions declared in retractions.h.

Definition in file retractions.cpp.