Eigendecomposition 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   100
#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   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
Functions
Gan_Bool	gan_symmat22_eigen (Gan_SquMatrix22 *A, Gan_Vector2 *W, Gan_Matrix22 *Z)
	Eigenvalues and maybe eigenvectors of symmetric 2x2 matrix.
Gan_Bool	gan_symmat22f_eigen (Gan_SquMatrix22_f *A, Gan_Vector2_f *W, Gan_Matrix22_f *Z)
	Eigenvalues and maybe eigenvectors of symmetric 2x2 matrix.
Gan_Bool	gan_mat33_eigen (Gan_Matrix33 *A, Gan_Complex W[3], Gan_Matrix33 *VL, Gan_Matrix33 *VR)
	Computes eigenvalues and eigenvectors of a 3x3 matrix.
Gan_Bool	gan_symmat33_eigen (Gan_SquMatrix33 *A, Gan_Vector3 *W, Gan_Matrix33 *Z)
	Eigenvalues and maybe eigenvectors of symmetric 3x3 matrix.
Gan_Bool	gan_mat33f_eigen (Gan_Matrix33_f *A, Gan_Complex_f W[3], Gan_Matrix33_f *VL, Gan_Matrix33_f *VR)
	Computes eigenvalues and eigenvectors of a 3x3 matrix.
Gan_Bool	gan_symmat33f_eigen (Gan_SquMatrix33_f *A, Gan_Vector3_f *W, Gan_Matrix33_f *Z)
	Eigenvalues and maybe eigenvectors of symmetric 3x3 matrix.
Gan_Bool	gan_symmat44_eigen (Gan_SquMatrix44 *A, Gan_Vector4 *W, Gan_Matrix44 *Z)
	Eigenvalues and maybe eigenvectors of symmetric 4x4 matrix.
Gan_Bool	gan_symmat44f_eigsym (Gan_SquMatrix44_f *A, Gan_Vector4_f *W, Gan_Matrix44_f *Z)
	Eigenvalues and maybe eigenvectors of symmetric 4x4 matrix.

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Function Documentation

Gan_Bool gan_mat33_eigen (  Gan_Matrix33 *  A, Gan_Complex  W[3], Gan_Matrix33 *  VL, Gan_Matrix33 *  VR )

Computes eigenvalues and eigenvectors of a 3x3 matrix. Parameters: A  Pointer to the input 3x3 matrix W  3-vector of complex eigenvalues VL  3x3 matrix of left eigenvectors or NULL VR  3x3 matrix of right eigenvectors or NULL Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the eigenvalues and optionally the left and/or right eigenvectors of 3x3 matrix A. If either of the eigenvector matrices VL or VR are NULL, the corresponding eigenvectors are not computed. See also: gan_clapack_geev()

Gan_Bool gan_mat33f_eigen (  Gan_Matrix33_f *  A, Gan_Complex_f  W[3], Gan_Matrix33_f *  VL, Gan_Matrix33_f *  VR )

Computes eigenvalues and eigenvectors of a 3x3 matrix. Parameters: A  Pointer to the input 3x3 matrix W  3-vector of complex eigenvalues VL  3x3 matrix of left eigenvectors or NULL VR  3x3 matrix of right eigenvectors or NULL Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the eigenvalues and optionally the left and/or right eigenvectors of 3x3 matrix A. If either of the eigenvector matrices VL or VR are NULL, the corresponding eigenvectors are not computed. See also: gan_clapackf_geev()

Gan_Bool gan_symmat22_eigen (  Gan_SquMatrix22 *  A, Gan_Vector2 *  W, Gan_Matrix22 *  Z )

Eigenvalues and maybe eigenvectors of symmetric 2x2 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the eigenvalues and, optionally, the eigenvectors of a symmetric 2x2 input matrix A, i.e. computing diagonal matrix W as the eigenvalues W, and orthogonal matrix of eigenvectors Z such that If Z is passed as NULL then the eigenvectors are not computed. NOTE: the contents of A are NOT destroyed. The eigenvalues W are provided in ascending order.

Gan_Bool gan_symmat22f_eigen (  Gan_SquMatrix22_f *  A, Gan_Vector2_f *  W, Gan_Matrix22_f *  Z )

Eigenvalues and maybe eigenvectors of symmetric 2x2 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the eigenvalues and, optionally, the eigenvectors of a symmetric 2x2 input matrix A, i.e. computing diagonal matrix W as the eigenvalues W, and orthogonal matrix of eigenvectors Z such that If Z is passed as NULL then the eigenvectors are not computed. NOTE: the contents of A are NOT destroyed. The eigenvalues W are provided in ascending order.

Gan_Bool gan_symmat33_eigen (  Gan_SquMatrix33 *  A, Gan_Vector3 *  W, Gan_Matrix33 *  Z )

Eigenvalues and maybe eigenvectors of symmetric 3x3 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the eigenvalues and, optionally, the eigenvectors of a symmetric 3x3 input matrix A, i.e. computing diagonal matrix W as the eigenvalues W, and orthogonal matrix of eigenvectors Z such that If Z is passed as NULL then the eigenvectors are not computed. NOTE: the contents of A are NOT destroyed. The eigenvalues W are provided in ascending order.

Gan_Bool gan_symmat33f_eigen (  Gan_SquMatrix33_f *  A, Gan_Vector3_f *  W, Gan_Matrix33_f *  Z )

Eigenvalues and maybe eigenvectors of symmetric 3x3 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the eigenvalues and, optionally, the eigenvectors of a symmetric 3x3 input matrix A, i.e. computing diagonal matrix W as the eigenvalues W, and orthogonal matrix of eigenvectors Z such that If Z is passed as NULL then the eigenvectors are not computed. NOTE: the contents of A are NOT destroyed. The eigenvalues W are provided in ascending order.

Gan_Bool gan_symmat44_eigen (  Gan_SquMatrix44 *  A, Gan_Vector4 *  W, Gan_Matrix44 *  Z )

Eigenvalues and maybe eigenvectors of symmetric 4x4 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the eigenvalues and, optionally, the eigenvectors of a symmetric 4x4 input matrix A, i.e. computing diagonal matrix W as the eigenvalues W, and orthogonal matrix of eigenvectors Z such that If Z is passed as NULL then the eigenvectors are not computed. NOTE: the contents of A are NOT destroyed. The eigenvalues W are provided in ascending order.

Gan_Bool gan_symmat44f_eigsym (  Gan_SquMatrix44_f *  A, Gan_Vector4_f *  W, Gan_Matrix44_f *  Z )

Eigenvalues and maybe eigenvectors of symmetric 4x4 matrix. Returns: GAN_TRUE on success, GAN_FALSE on failure. Computes the eigenvalues and, optionally, the eigenvectors of a symmetric 4x4 input matrix A, i.e. computing diagonal matrix W as the eigenvalues W, and orthogonal matrix of eigenvectors Z such that If Z is passed as NULL then the eigenvectors are not computed. NOTE: the contents of A are NOT destroyed. The eigenvalues W are provided in ascending order.

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