elpa_eigenvectors - computes the eigenvalues and (part of) the
eigenvector spectrum for a real symmetric or complex hermitian matrix
use elpa
class(elpa_t), pointer :: elpa
call elpa%eigenvectors (a, ev, q, error)
With the definitions of the input and output variables:
class(elpa_t) :: elpa ! returns an instance of the ELPA
object
- datatype :: a
- The matrix a for which the eigenvalues should be computed. The dimensions
of matrix a must be set BEFORE with the methods elpa_set(3)
and elpa_setup(3). The datatype of the matrix can be one of
"real(kind=c_double)", "real(kind=c_float)",
"complex(kind=c_double)", or "complex(kind=c_float)".
The matrix has to be symmetric or hermitian, this is not checked by the
routine.
- datatype :: ev
- The vector ev where the eigenvalues will be stored in ascending
order. The datatype of the vector ev can be either
"real(kind=c_double)", or "real(kind=c_float)",
depending of the datatype of the matrix. Note that complex hermitian
matrices also have real valued eigenvalues. datatype :: q The
storage space for the computed eigenvectors. The dimensions of matrix a
must be set BEFORE with the methods elpa_set(3) and
elpa_setup(3). The datatype of the matrix can be one of
"real(kind=c_double)", "real(kind=c_float)",
"complex(kind=c_double)", or
"complex(kind=c_float)"
- integer, optional :: error
- The return error code of the function. Should be "ELPA_OK". The
error code can be querried with the function elpa_strerr(3)
#include <elpa/elpa.h>
elpa_t handle;
void elpa_eigenvalues(elpa_t handle, datatype
*a, datatype *ev, datatype *q, int *error);
With the definitions of the input and output variables:
- elpa_t handle;
- The handle to the ELPA object
- datatype *a;
- The matrix a for which the eigenvalues should be computed. The dimensions
of the matrix must be set BEFORE with the methods
elpa_set(3) and elpa_setup(3). The datatype can be
one of "double", "float", "double complex",
or "float complex". The matrix has to be symmetric or hermitian,
this is not checked by the routine.
- datatype *ev;
- The storage for the computed eigenvalues. Eigenvalues will be stored in
ascendig order. The datatype can be either
"double" or "float". Note that the eigenvalues of
complex hermitian matrices are also real.
- datatype *q;
- The storage space for the computed eigenvectors. The dimensions of the
matrix must be set BEFORE with the methods elpa_set(3) and
elpa_setup(3). The datatype can be one of
"double", "float", "double complex", or
"float complex".
- int *error;
- The error code of the function. Should be "ELPA_OK". The error
codes can be querried with elpa_strerr(3)
Compute the eigenvalues and (parts of) the eigenvector spectrum of
a real symmetric or complex hermitian matrix.The functions
elpa_init(3), elpa_allocate(3), elpa_set(3), and
elpa_setup(3) must be called BEFORE elpa_eigenvalues
can be called. Especially the number of eigenvectors to be computed can be
set with elpa_set(3)
elpa2_print_kernels(1) elpa_init(3)
elpa_allocate(3) elpa_set(3) elpa_setup(3)
elpa_strerr(3) elpa_eigenvalues(3)
elpa_skew_eigenvalues(3) elpa_skew_eigenvectors(3)
elpa_cholesky(3) elpa_invert_triangular(3)
elpa_solve_tridiagonal(3) elpa_hermitian_multiply(3)
elpa_uninit(3) elpa_deallocate(3)