nmrSymmetricEigenProblem.h File Reference

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

Go to the source code of this file.

Classes
class	nmrSymmetricEigenProblem
class	nmrSymmetricEigenProblem::Data

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

Function Documentation

nmrSymmetricEigenProblem() [1/2]

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 \( N \) 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() [2/2]

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 \( N \) 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.