Singular Value Decomposition of a Fixed Size Matrix
[Fixed Size Matrices]


Defines
#define	gel(M, i, j) gan_mat_get_el(M,i,j)
#define	sel(M, i, j, v) gan_mat_set_el(M,i,j,v)
#define	sgel(M, i, j) gan_squmat_get_el(M,i,j)
#define	ssel(M, i, j, v) gan_squmat_set_el(M,i,j,v)
#define	WORKSPACE_SIZE 0
#define	gel(M, i, j) gan_matf_get_el(M,i,j)
#define	sel(M, i, j, v) gan_matf_set_el(M,i,j,v)
#define	sgel(M, i, j) gan_squmatf_get_el(M,i,j)
#define	ssel(M, i, j, v) gan_squmatf_set_el(M,i,j,v)
#define	WORKSPACE_SIZE 0
#define	gel(M, i, j) gan_mat_get_el(M,i,j)
#define	sel(M, i, j, v) gan_mat_set_el(M,i,j,v)
#define	sgel(M, i, j) gan_squmat_get_el(M,i,j)
#define	ssel(M, i, j, v) gan_squmat_set_el(M,i,j,v)
#define	WORKSPACE_SIZE 200
#define	gel(M, i, j) gan_matf_get_el(M,i,j)
#define	sel(M, i, j, v) gan_matf_set_el(M,i,j,v)
#define	sgel(M, i, j) gan_squmatf_get_el(M,i,j)
#define	ssel(M, i, j, v) gan_squmatf_set_el(M,i,j,v)
#define	WORKSPACE_SIZE 200
Functions
Gan_Bool	gan_mat33_svd (Gan_Matrix33 A, Gan_Matrix33 U, Gan_Vector3 S, Gan_Matrix33 VT)
	Singular value decomposition of 3x3 matrix.
Gan_Bool	gan_mat33T_svd (Gan_Matrix33 A, Gan_Matrix33 U, Gan_Vector3 S, Gan_Matrix33 VT)
	Singular value decomposition of the transpose of a 3x3 matrix.
Gan_Bool	gan_mat33f_svd (Gan_Matrix33_f A, Gan_Matrix33_f U, Gan_Vector3_f S, Gan_Matrix33_f VT)
	Singular value decomposition of 3x3 matrix.
Gan_Bool	gan_mat33Tf_svd (Gan_Matrix33_f A, Gan_Matrix33_f U, Gan_Vector3_f S, Gan_Matrix33_f VT)
	Singular value decomposition of the transpose of a 3x3 matrix.
Gan_Bool	gan_mat44_svd (Gan_Matrix44 A, Gan_Matrix44 U, Gan_Vector4 S, Gan_Matrix44 VT)
	Singular value decomposition of 4x4 matrix.
Gan_Bool	gan_mat44T_svd (Gan_Matrix44 A, Gan_Matrix44 U, Gan_Vector4 S, Gan_Matrix44 VT)
	Singular value decomposition of the transpose of a 4x4 matrix.
Gan_Bool	gan_mat44f_svd (Gan_Matrix44_f A, Gan_Matrix44_f U, Gan_Vector4_f S, Gan_Matrix44_f VT)
	Singular value decomposition of 4x4 matrix.
Gan_Bool	gan_mat44Tf_svd (Gan_Matrix44_f A, Gan_Matrix44_f U, Gan_Vector4_f S, Gan_Matrix44_f VT)
	Singular value decomposition of the transpose of a 4x4 matrix.

Function Documentation

Gan_Bool gan_mat33_svd ( Gan_Matrix33 * A,

Gan_Matrix33 * U,

Gan_Vector3 * S,

Gan_Matrix33 * VT

)

Singular value decomposition of 3x3 matrix.

Returns:
GAN_TRUE on success, GAN_FALSE on failure.
Computes the SVD of a 3x3 input matrix A as
$A = U \: S \: VT$
where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors.
NOTE: the contents of A are NOT destroyed.
The singular values S are provided in decending order.
This function calls the general SVD routine gan_mat_svd().

Gan_Bool gan_mat33f_svd ( Gan_Matrix33_f * A,

Gan_Matrix33_f * U,

Gan_Vector3_f * S,

Gan_Matrix33_f * VT

)

Singular value decomposition of 3x3 matrix.

Returns:
GAN_TRUE on success, GAN_FALSE on failure.
Computes the SVD of a 3x3 input matrix A as
$A = U \: S \: VT$
where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors.
NOTE: the contents of A are NOT destroyed.
The singular values S are provided in decending order.
This function calls the general SVD routine gan_matf_svd().

Gan_Bool gan_mat33T_svd ( Gan_Matrix33 * A,

Gan_Matrix33 * U,

Gan_Vector3 * S,

Gan_Matrix33 * VT

)

Singular value decomposition of the transpose of a 3x3 matrix.

Returns:
GAN_TRUE on success, GAN_FALSE on failure.
Computes the SVD of the transpose of a 3x3 input matrix A as
$A^{\top} = U \: S \: VT$
where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors.
NOTE: the contents of A are NOT destroyed.
The singular values S are provided in decending order.
This function calls the general SVD routine gan_mat_svd().

Gan_Bool gan_mat33Tf_svd ( Gan_Matrix33_f * A,

Gan_Matrix33_f * U,

Gan_Vector3_f * S,

Gan_Matrix33_f * VT

)

Singular value decomposition of the transpose of a 3x3 matrix.

Returns:
GAN_TRUE on success, GAN_FALSE on failure.
Computes the SVD of the transpose of a 3x3 input matrix A as
$A^{\top} = U \: S \: VT$
where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors.
NOTE: the contents of A are NOT destroyed.
The singular values S are provided in decending order.
This function calls the general SVD routine gan_matf_svd().

Gan_Bool gan_mat44_svd ( Gan_Matrix44 * A,

Gan_Matrix44 * U,

Gan_Vector4 * S,

Gan_Matrix44 * VT

)

Singular value decomposition of 4x4 matrix.

Returns:
GAN_TRUE on success, GAN_FALSE on failure.
Computes the SVD of a 4x4 input matrix A as
$A = U \: S \: VT$
where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors.
NOTE: the contents of A are NOT destroyed.
The singular values S are provided in decending order.
This function calls the general SVD routine gan_mat_svd().

Gan_Bool gan_mat44f_svd ( Gan_Matrix44_f * A,

Gan_Matrix44_f * U,

Gan_Vector4_f * S,

Gan_Matrix44_f * VT

)

Singular value decomposition of 4x4 matrix.

Returns:
GAN_TRUE on success, GAN_FALSE on failure.
Computes the SVD of a 4x4 input matrix A as
$A = U \: S \: VT$
where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors.
NOTE: the contents of A are NOT destroyed.
The singular values S are provided in decending order.
This function calls the general SVD routine gan_matf_svd().

Gan_Bool gan_mat44T_svd ( Gan_Matrix44 * A,

Gan_Matrix44 * U,

Gan_Vector4 * S,

Gan_Matrix44 * VT

)

Singular value decomposition of the transpose of a 4x4 matrix.

Returns:
GAN_TRUE on success, GAN_FALSE on failure.
Computes the SVD of the transpose of a 4x4 input matrix A as
$A^{\top} = U \: S \: VT$
where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors.
NOTE: the contents of A are NOT destroyed.
The singular values S are provided in decending order.
This function calls the general SVD routine gan_mat_svd().

Gan_Bool gan_mat44Tf_svd ( Gan_Matrix44_f * A,

Gan_Matrix44_f * U,

Gan_Vector4_f * S,

Gan_Matrix44_f * VT

)

Singular value decomposition of the transpose of a 4x4 matrix.

Returns:
GAN_TRUE on success, GAN_FALSE on failure.
Computes the SVD of the transpose of a 4x4 input matrix A as
$A^{\top} = U \: S \: VT$
where U are the left singular vectors, S contain the singular values and VT are the (transposed) right singular vectors.
NOTE: the contents of A are NOT destroyed.
The singular values S are provided in decending order.
This function calls the general SVD routine gan_matf_svd().

Generated on Fri Mar 17 12:44:58 2006 by

1.3.9.1

Singular Value Decomposition of a Fixed Size Matrix [Fixed Size Matrices]

Defines

Functions

Function Documentation

Singular Value Decomposition of a Fixed Size Matrix
[Fixed Size Matrices]