GOQuadQR

GOQuadQR

Functions

void go_quad_qr_determinant ()
void go_quad_qr_determinantl ()
void go_quad_qr_determinantD ()
void go_quad_qr_free ()
void go_quad_qr_freel ()
void go_quad_qr_freeD ()
void go_quad_qr_mark_degenerate ()
void go_quad_qr_mark_degeneratel ()
void go_quad_qr_mark_degenerateD ()
void go_quad_qr_multiply_qt ()
void go_quad_qr_multiply_qtl ()
void go_quad_qr_multiply_qtD ()
GOQuadQR * go_quad_qr_new ()
GOQuadQRl * go_quad_qr_newl ()
GOQuadQRD * go_quad_qr_newD ()
const GOQuadMatrix * go_quad_qr_r ()
const GOQuadMatrixl * go_quad_qr_rl ()
const GOQuadMatrixD * go_quad_qr_rD ()

Description

Functions

go_quad_qr_determinant ()

void
go_quad_qr_determinant (const GOQuadQR *qr,
                        GOQuad *det);

go_quad_qr_determinantl ()

void
go_quad_qr_determinantl (const GOQuadQRl *qr,
                         GOQuadl *det);

go_quad_qr_determinantD ()

void
go_quad_qr_determinantD (const GOQuadQRD *qr,
                         GOQuadD *det);

go_quad_qr_free ()

void
go_quad_qr_free (GOQuadQR *qr);

go_quad_qr_freel ()

void
go_quad_qr_freel (GOQuadQRl *qr);

go_quad_qr_freeD ()

void
go_quad_qr_freeD (GOQuadQRD *qr);

go_quad_qr_mark_degenerate ()

void
go_quad_qr_mark_degenerate (GOQuadQR *qr,
                            int i);

Marks dimension i of the qr decomposition as degenerate. In practice this means setting the i-th eigenvalue of R to zero.

[skip]

Parameters

qr

A QR decomposition.

 

i

a dimension

 

go_quad_qr_mark_degeneratel ()

void
go_quad_qr_mark_degeneratel (GOQuadQRl *qr,
                             int i);

Marks dimension i of the qr decomposition as degenerate. In practice this means setting the i-th eigenvalue of R to zero.

[skip]

Parameters

qr

A QR decomposition.

 

i

a dimension

 

go_quad_qr_mark_degenerateD ()

void
go_quad_qr_mark_degenerateD (GOQuadQRD *qr,
                             int i);

Marks dimension i of the qr decomposition as degenerate. In practice this means setting the i-th eigenvalue of R to zero.

[skip]

Parameters

qr

A QR decomposition.

 

i

a dimension

 

go_quad_qr_multiply_qt ()

void
go_quad_qr_multiply_qt (const GOQuadQR *qr,
                        GOQuad *x);

Replaces x by Q^t * x

Parameters

qr

A QR decomposition.

 

x

a vector.

[inout]

go_quad_qr_multiply_qtl ()

void
go_quad_qr_multiply_qtl (const GOQuadQRl *qr,
                         GOQuadl *x);

Replaces x by Q^t * x

Parameters

qr

A QR decomposition.

 

x

a vector.

[inout]

go_quad_qr_multiply_qtD ()

void
go_quad_qr_multiply_qtD (const GOQuadQRD *qr,
                         GOQuadD *x);

Replaces x by Q^t * x

Parameters

qr

A QR decomposition.

 

x

a vector.

[inout]

go_quad_qr_new ()

GOQuadQR *
go_quad_qr_new (const GOQuadMatrix *A);

QR decomposition of a matrix using Householder matrices.

A (input) is an m-times-n matrix. A0...m-1 If qAT is TRUE, this parameter is transposed.

V is a pre-allocated output m-times-n matrix. V will contrain n vectors of different lengths: n, n-1, ..., 1. These are the Householder vectors (or null for the degenerate case). The matrix Q of size m-times-m is implied from V.

R is a matrix of size n-times-n. (To get the m-times-n version of R, simply add m-n null rows.)

[skip]

Parameters

A

Source matrix.

 

Returns

a new GOQuadQR.

[transfer full]


go_quad_qr_newl ()

GOQuadQRl *
go_quad_qr_newl (const GOQuadMatrixl *A);

QR decomposition of a matrix using Householder matrices.

A (input) is an m-times-n matrix. A0...m-1 If qAT is TRUE, this parameter is transposed.

V is a pre-allocated output m-times-n matrix. V will contrain n vectors of different lengths: n, n-1, ..., 1. These are the Householder vectors (or null for the degenerate case). The matrix Q of size m-times-m is implied from V.

R is a matrix of size n-times-n. (To get the m-times-n version of R, simply add m-n null rows.)

[skip]

Parameters

A

Source matrix.

 

Returns

a new GOQuadQR.

[transfer full]


go_quad_qr_newD ()

GOQuadQRD *
go_quad_qr_newD (const GOQuadMatrixD *A);

QR decomposition of a matrix using Householder matrices.

A (input) is an m-times-n matrix. A0...m-1 If qAT is TRUE, this parameter is transposed.

V is a pre-allocated output m-times-n matrix. V will contrain n vectors of different lengths: n, n-1, ..., 1. These are the Householder vectors (or null for the degenerate case). The matrix Q of size m-times-m is implied from V.

R is a matrix of size n-times-n. (To get the m-times-n version of R, simply add m-n null rows.)

[skip]

Parameters

A

Source matrix.

 

Returns

a new GOQuadQR.

[transfer full]


go_quad_qr_r ()

const GOQuadMatrix *
go_quad_qr_r (const GOQuadQR *qr);

Parameters

qr

A QR decomposition.

 

Returns

the small R from the decomposition, i.e., a square matrix of size n. To get the large R, if needed, add m-n zero rows.


go_quad_qr_rl ()

const GOQuadMatrixl *
go_quad_qr_rl (const GOQuadQRl *qr);

Parameters

qr

A QR decomposition.

 

Returns

the small R from the decomposition, i.e., a square matrix of size n. To get the large R, if needed, add m-n zero rows.


go_quad_qr_rD ()

const GOQuadMatrixD *
go_quad_qr_rD (const GOQuadQRD *qr);

Parameters

qr

A QR decomposition.

 

Returns

the small R from the decomposition, i.e., a square matrix of size n. To get the large R, if needed, add m-n zero rows.