lambda_lanczos::tridiagonal_lapack Namespace Reference

Functions
lapack_int	stev (int matrix_layout, char jobz, lapack_int n, float *d, float *e, float *z, lapack_int ldz)
lapack_int	stev (int matrix_layout, char jobz, lapack_int n, double *d, double *e, double *z, lapack_int ldz)
template<typename T>
T	find_mth_eigenvalue (const std::vector< T > &alpha, const std::vector< T > &beta, const size_t index)
	Finds the mth smaller eigenvalue of given tridiagonal matrix.
template<typename T>
void	tridiagonal_eigenpairs (const std::vector< T > &alpha, const std::vector< T > &beta, std::vector< T > &eigenvalues, std::vector< std::vector< T > > &eigenvectors, bool compute_eigenvector=true)
	Computes all eigenpairs (eigenvalues and eigenvectors) for given tri-diagonal matrix.
template<typename T>
void	tridiagonal_eigenvalues (const std::vector< T > &alpha, const std::vector< T > &beta, std::vector< T > &eigenvalues)
	Computes all eigenvalues for given tri-diagonal matrix using the Implicitly Shifted QR algorithm.

Function Documentation

find_mth_eigenvalue()

template<typename T>

T lambda_lanczos::tridiagonal_lapack::find_mth_eigenvalue ( const std::vector< T > & alpha, const std::vector< T > & beta, const size_t index )

inline

Finds the mth smaller eigenvalue of given tridiagonal matrix.

stev() [1/2]

lapack_int lambda_lanczos::tridiagonal_lapack::stev ( int matrix_layout, char jobz, lapack_int n, double * d, double * e, double * z, lapack_int ldz )

inline

stev() [2/2]

lapack_int lambda_lanczos::tridiagonal_lapack::stev ( int matrix_layout, char jobz, lapack_int n, float * d, float * e, float * z, lapack_int ldz )

inline

tridiagonal_eigenpairs()

template<typename T>

void lambda_lanczos::tridiagonal_lapack::tridiagonal_eigenpairs ( const std::vector< T > & alpha, const std::vector< T > & beta, std::vector< T > & eigenvalues, std::vector< std::vector< T > > & eigenvectors, bool compute_eigenvector = true )

inline

Computes all eigenpairs (eigenvalues and eigenvectors) for given tri-diagonal matrix.

tridiagonal_eigenvalues()

template<typename T>

void lambda_lanczos::tridiagonal_lapack::tridiagonal_eigenvalues ( const std::vector< T > & alpha, const std::vector< T > & beta, std::vector< T > & eigenvalues )

inline

Computes all eigenvalues for given tri-diagonal matrix using the Implicitly Shifted QR algorithm.

Parameters

[in]	alpha	Diagonal elements of the full tridiagonal matrix.
[in]	beta	Sub-diagonal elements of the full tridiagonal matrix.
[out]	eigenvalues	Eigenvalues.

Returns

Count of forced breaks due to unconvergence.