dh2compression

Functions for turning an amatrix into an dh2matrix. More...

Functions
pdclusterbasis	buildrow_amatrix_dclusterbasis (pcamatrix G, pcdblock b, pctruncmode tm, real eps)
	Construct a directional row basis for an array matrix. More...
pdclusterbasis	buildcol_amatrix_dclusterbasis (pcamatrix G, pcdblock b, pctruncmode tm, real eps)
	Construct a directional column basis for an array matrix. More...
void	collectdense_dh2matrix (pcamatrix a, pcdclusterbasis rb, uint rd, pcdclusterbasis cb, uint cd, pamatrix s)
	Compute the optimal coupling matrix for a given matrix and given orthogonal row and column cluster bases. More...
void	projectdense_dh2matrix (pcamatrix a, pdh2matrix h2)
	Fill a given dh2matrix object with the optimal coefficients for the approximation of a given matrix. More...

Detailed Description

Functions for turning an amatrix into an dh2matrix.

The functions in this module can be used to convert array matrices into directional -matrices.

Function Documentation

pdclusterbasis buildcol_amatrix_dclusterbasis	(	pcamatrix	G,
		pcdblock	b,
		pctruncmode	tm,
		real	eps
	)

Construct a directional column basis for an array matrix.

Parameters

G	Original matrix .
b	Directional block tree.
tm	Truncation mode.
eps	Truncation accuracy.

Returns

New column cluster basis.

pdclusterbasis buildrow_amatrix_dclusterbasis	(	pcamatrix	G,
		pcdblock	b,
		pctruncmode	tm,
		real	eps
	)

Construct a directional row basis for an array matrix.

Parameters

G	Original matrix .
b	Directional block tree.
tm	Truncation mode.
eps	Truncation accuracy.

Returns

New row cluster basis.

void collectdense_dh2matrix	(	pcamatrix	a,
		pcdclusterbasis	rb,
		uint	rd,
		pcdclusterbasis	cb,
		uint	cd,
		pamatrix	s
	)

Compute the optimal coupling matrix for a given matrix and given orthogonal row and column cluster bases.

Parameters

a	Source matrix, not in cluster ordering.
rb	Orthogonal row cluster basis.
rd	Direction for row basis.
cb	Orthogonal column cluster basis.
cd	Direction for column basis.
s	Will be filled with optimal coefficients to approximate the given matrix.

void projectdense_dh2matrix	(	pcamatrix	a,
		pdh2matrix	h2
	)

Fill a given dh2matrix object with the optimal coefficients for the approximation of a given matrix.

Parameters

a	Source matrix, not in cluster ordering.
h2	Target matrix with orthogonal row and column cluster basis, nearfield and coupling matrices will be filled with coefficients approximation a.