#include <cisstNumerical/nmrNetlib.h>
#include <cisstVector/vctDynamicMatrix.h>
#include <cisstNumerical/nmrExport.h>

Classes
class	nmrSymmetricEigenProblem

class	nmrSymmetricEigenProblem::Data

Functions
nmrSymmetricEigenProblem::Errno CISST_EXPORT	nmrSymmetricEigenProblem (vctDynamicMatrix< double > &A, vctDynamicVector< double > &D, vctDynamicMatrix< double > &V)
	Symmetric Eigenproblems (SEP) More...

nmrSymmetricEigenProblem::Errno CISST_EXPORT	nmrSymmetricEigenProblem (vctDynamicMatrix< double > &A, vctDynamicVector< double > &D, vctDynamicMatrix< double > &V, nmrSymmetricEigenProblem::Data &data)
	Symmetric Eigenproblems (SEP) More...

Function Documentation

nmrSymmetricEigenProblem::Errno CISST_EXPORT nmrSymmetricEigenProblem	(	vctDynamicMatrix< double > &	A,
		vctDynamicVector< double > &	D,
		vctDynamicMatrix< double > &	V
	)

Symmetric Eigenproblems (SEP)

Computes all the eigen values and eigen vectors of a symmetric matrix $A \mathbf{x} = \lambda \mathbf{x}$ such that $ A = V D V^T $ . The eigen values are sorted in ascending order. This function uses LAPACK dsyevr.

Parameters

[in]	A	The $N \times N$ column major matrix. The matrix A is modified during the evaluation. The matrix must be in column major.
[out]	D	The vector of eigen vectors. The vector must be allocated prior to calling.
[out]	V	The $N \times N$ matrix of eigen vectors. Eigen vectors are stored in the columns of D. The matrix must be column major and allocated prior to calling.

Returns: ESUCCESS if the computation was successful. EFAILURE otherwise.

nmrSymmetricEigenProblem::Errno CISST_EXPORT nmrSymmetricEigenProblem	(	vctDynamicMatrix< double > &	A,
		vctDynamicVector< double > &	D,
		vctDynamicMatrix< double > &	V,
		nmrSymmetricEigenProblem::Data &	data
	)

Symmetric Eigenproblems (SEP)

Computes all the eigen values and eigen vectors of a symmetric matrix $A \mathbf{x} = \lambda \mathbf{x}$ such that $ A = V D V^T $ . The eigen values are sorted in ascending order. This function uses LAPACK dsyevr.

Parameters

[in]	A	The $N \times N$ column major matrix. The matrix A is modified during the evaluation. The matrix must be column major.
[out]	D	The vector of eigen vectors. The vector must be allocated before calling.
[out]	V	The $N \times N$ matrix of eigen vectors. Eigen vectors are stored in the columns of V. The matrix must be column major and allocated before calling.
[in]	data	Computation data. This data can is filled during the initial call and can be reused in subsequent calls.

Returns: ESUCCESS if the computation was successful. EFAILURE otherwise.

Classes

Functions

Function Documentation