eigenv_private.h File Reference

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Macros
#define	MMG5_EPSD   1.e-30
#define	MMG5_EPS   1.e-06

Functions
int	MMG5_eigenv3d (int symmat, double *mat, double lambda[3], double v[3][3])
	Find eigenvalues and vectors of a 3x3 matrix.
int	MMG5_eigenv2d (int symmat, double *mat, double lambda[2], double v[2][2])
	Find eigenvalues and vectors of a 2x2 matrix.
int	MMG5_eigen2 (double *mm, double *lambda, double vp[2][2])
	Find eigenvalues and vectors of a 2x2 matrix.
int	MMG5_eigensym (double m[3], double lambda[2], double vp[2][2])

Macro Definition Documentation

MMG5_EPS

#define MMG5_EPS   1.e-06

Definition at line 32 of file eigenv_private.h.

MMG5_EPSD

#define MMG5_EPSD   1.e-30

Definition at line 31 of file eigenv_private.h.

Function Documentation

MMG5_eigen2()

int MMG5_eigen2	(	double *	mm,
		double *	lambda,
		double	vp[2][2]
	)

Find eigenvalues and vectors of a 2x2 matrix.

Parameters

mm	pointer to the matrix.
lambda	pointer to the output eigenvalues.
vp	eigenvectors.

Returns

1.

Warning

not used for now

Definition at line 858 of file eigenv.c.

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MMG5_eigensym()

int MMG5_eigensym ( double  m[3], double  lambda[2], double  vp[2][2]  )

inline

Parameters

m	terms of symetric matrix \(2x2\).
lambda	eigenvalues of m.
vp	eigenvectors of m.

Returns

order of the eigenvalues.

Compute eigenelements of a symetric matrix m. Eigenvectors are orthogonal.

Definition at line 973 of file eigenv.c.

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MMG5_eigenv2d()

int MMG5_eigenv2d	(	int	symmat,
		double *	mat,
		double	lambda[2],
		double	vp[2][2]
	)

Find eigenvalues and vectors of a 2x2 matrix.

Parameters

symmat	0 if matrix is not symetric, 1 otherwise.
mat	pointer to the matrix.
lambda	eigenvalues.
v	eigenvectors.

Returns

order of eigenvalues (1,2) or 0 if failed.

Remarks

the i^{th} eigenvector is stored in v[i][.].

Definition at line 780 of file eigenv.c.

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MMG5_eigenv3d()

int MMG5_eigenv3d	(	int	symmat,
		double *	mat,
		double	lambda[3],
		double	v[3][3]
	)

Find eigenvalues and vectors of a 3x3 matrix.

Parameters

symmat	0 if matrix is not symetric, 1 otherwise.
mat	pointer to the matrix.
lambda	eigenvalues.
v	eigenvectors.

Returns

order of eigenvalues (1,2,3) or 0 if failed.

Remarks

the i^{th} eigenvector is stored in v[i][.].

rows of A-lambda[2]*I

rows of A-lambda[0]*I

Definition at line 385 of file eigenv.c.

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