sc::overlaporthog(3)

NAME

sc::OverlapOrthog - This class computes the orthogonalizing transform
for a basis set.

SYNOPSIS

#include <orthog.h>
Inherits sc::SavableState.
Public Types
enum OrthogMethod { Symmetric = 1, Canonical = 2, GramSchmidt = 3 }
    An enum for the types of orthogonalization.
Public Member Functions
OverlapOrthog (OrthogMethod method, const RefSymmSCMatrix &overlap,
    const Ref< SCMatrixKit > &result_kit, double lindep_tolerance, int
    debug=0)
OverlapOrthog (StateIn &)
void save_data_state (StateOut &)
    Save the base classes (with save_data_state) and the members in the
    same order that the StateIn CTOR initializes them.
void reinit (OrthogMethod method, const RefSymmSCMatrix &overlap, const
    Ref< SCMatrixKit > &result_kit, double lindep_tolerance, int
    debug=0)
double min_orthog_res () const
double max_orthog_res () const
Ref< OverlapOrthog > copy () const
OrthogMethod orthog_method () const
    Returns the orthogonalization method.
double lindep_tol () const
    Returns the tolerance for linear dependencies.
RefSCMatrix basis_to_orthog_basis ()
    Returns a matrix which does the requested transform from a basis to
    an orthogonal basis.
RefSCMatrix basis_to_orthog_basis_inverse ()
    Returns the inverse of the transformation returned by
    basis_to_orthog_basis.
RefSCDimension dim ()
RefSCDimension orthog_dim ()
int nlindep ()
    Returns the number of linearly dependent functions eliminated from
    the orthogonal basis.

Detailed Description

This class computes the orthogonalizing transform for a basis set.

Member Function Documentation

void sc::OverlapOrthog::save_data_state (StateOut &) [virtual]
Save the base classes (with save_data_state) and the members in the
same order that the StateIn CTOR initializes them.
This must be implemented by the derived class if the class has data.
Reimplemented from sc::SavableState.
RefSCMatrix sc::OverlapOrthog::basis_to_orthog_basis ()
Returns a matrix which does the requested transform from a basis to an orthogonal basis.
This could be either the symmetric or canonical orthogonalization
matrix. The row dimension is the basis dimension and the column
dimension is orthogonal basis dimension. An operator $O$ in the
orthogonal basis is given by $X O X^T$ where $X$ is the return value of this function.

Author

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