The matrix a for which the eigenvalues should be computed. The dimensions of matrix a must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(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 a for which the eigenvalues should be computed. The dimensions of matrix a must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(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.
.TP
.RI "datatype :: \fBev\fP"
The vector ev where the eigenvalues will be stored in \fIascending\fP 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.
...
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@@ -51,7 +51,7 @@ elpa_t handle;
The handle to the ELPA object
.TP
.RI "datatype *\fBa\fP;"
The matrix a for which the eigenvalues should be computed. The dimensions of the matrix must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(3). The \fBdatatype\fP can be one of "double", "float", "double complex", or "float complex".
The matrix a for which the eigenvalues should be computed. The dimensions of the matrix must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(3). The \fBdatatype\fP 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.
.TP
.RI "datatype *\fBev\fP;"
The storage for the computed eigenvalues. Eigenvalues will be stored in \fIascendig\fP order. The \fBdatatype\fP can be either "double" or "float". Note that the eigenvalues of complex hermitian matrices are also real.
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...
@@ -60,8 +60,8 @@ The storage for the computed eigenvalues. Eigenvalues will be stored in \fIascen
The error code of the function. Should be "ELPA_OK". The error codes can be querried with \fBelpa_strerr\fP(3)
.SH DESCRIPTION
Compute the eigenvalues of a real symmtric or complex hermitian matrix.The functions \fBelpa_init\fP(3), \fBelpa_allocate\fP(3), \fBelpa_set\fP(3), and \fBelpa_setup\fP(3) must be called \fIBEFORE\fP \fBelpa_eigenvalues\fP can be called.
Compute the eigenvalues of a real symmetric or complex hermitian matrix.The functions \fBelpa_init\fP(3), \fBelpa_allocate\fP(3), \fBelpa_set\fP(3), and \fBelpa_setup\fP(3) must be called \fIBEFORE\fP \fBelpa_eigenvalues\fP can be called.
The matrix a for which the eigenvalues should be computed. The dimensions of matrix a must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(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 a for which the eigenvalues should be computed. The dimensions of matrix a must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(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.
.TP
.RI "datatype :: \fBev\fP"
The vector ev where the eigenvalues will be stored in \fIascending\fP 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.
...
...
@@ -53,7 +53,7 @@ elpa_t handle;
The handle to the ELPA object
.TP
.RI "datatype *\fBa\fP;"
The matrix a for which the eigenvalues should be computed. The dimensions of the matrix must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(3). The \fBdatatype\fP can be one of "double", "float", "double complex", or "float complex".
The matrix a for which the eigenvalues should be computed. The dimensions of the matrix must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(3). The \fBdatatype\fP 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.
.TP
.RI "datatype *\fBev\fP;"
The storage for the computed eigenvalues. Eigenvalues will be stored in \fIascendig\fP order. The \fBdatatype\fP can be either "double" or "float". Note that the eigenvalues of complex hermitian matrices are also real.
...
...
@@ -65,8 +65,8 @@ The storage space for the computed eigenvectors. The dimensions of the matrix mu
The error code of the function. Should be "ELPA_OK". The error codes can be querried with \fBelpa_strerr\fP(3)
.SH DESCRIPTION
Compute the eigenvalues and (parts of) the eigenvector spectrum of a real symmtric or complex hermitian matrix.The functions \fBelpa_init\fP(3), \fBelpa_allocate\fP(3), \fBelpa_set\fP(3), and \fBelpa_setup\fP(3) must be called \fIBEFORE\fP \fBelpa_eigenvalues\fP can be called. Especially the number of eigenvectors to be computed can be set with \fPelpa_set\fB(3)
Compute the eigenvalues and (parts of) the eigenvector spectrum of a real symmetric or complex hermitian matrix.The functions \fBelpa_init\fP(3), \fBelpa_allocate\fP(3), \fBelpa_set\fP(3), and \fBelpa_setup\fP(3) must be called \fIBEFORE\fP \fBelpa_eigenvalues\fP can be called. Especially the number of eigenvectors to be computed can be set with \fPelpa_set\fB(3)
.RI "With the definitions of the input and output variables:"
.br
.RI "class(elpa_t) :: \fBelpa\fP ! returns an instance of the ELPA object"
.br
.TP
.RI "datatype :: \fBa\fP"
The matrix a for which the eigenvalues should be computed. The dimensions of matrix a must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(3). The datatype of the matrix can be one of "real(kind=c_double)" or "real(kind=c_float)". The matrix has to be skew-symmetric, this is not checked by the routine.
.TP
.RI "datatype :: \fBev\fP"
The vector ev where the eigenvalues will be stored in \fIascending\fP 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.
.TP
.RI "integer, optional :: \fBerror\fP"
The return error code of the function. Should be "ELPA_OK". The error code can be querried with the function \fBelpa_strerr\fP(3)
.RI "With the definitions of the input and output variables:"
.br
.TP
.RI "elpa_t \fBhandle\fP;"
The handle to the ELPA object
.TP
.RI "datatype *\fBa\fP;"
The matrix a for which the eigenvalues should be computed. The dimensions of the matrix must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(3). The \fBdatatype\fP can be one of "double" or "float".
.TP
.RI "datatype *\fBev\fP;"
The storage for the computed eigenvalues. Eigenvalues will be stored in \fIascendig\fP order. The \fBdatatype\fP can be either "double" or "float". Note that the eigenvalues of complex hermitian matrices are also real. The matrix has to be skew-symmetric, this is not checked by the routine.
.TP
.RI "int *\fBerror\fP;"
The error code of the function. Should be "ELPA_OK". The error codes can be querried with \fBelpa_strerr\fP(3)
.SH DESCRIPTION
Compute the eigenvalues of a real skew-symmetric matrix.The functions \fBelpa_init\fP(3), \fBelpa_allocate\fP(3), \fBelpa_set\fP(3), and \fBelpa_setup\fP(3) must be called \fIBEFORE\fP \fBelpa_skew_eigenvalues\fP can be called.
elpa_skew_eigenvectors \- computes the eigenvalues and (part of) the eigenvector spectrum for a real skew-symmetric matrix
.br
.SH SYNOPSIS
.br
.SS FORTRAN INTERFACE
use elpa
.br
class(elpa_t), pointer :: elpa
.br
.RI "call elpa%\fBskew_eigenvectors\fP (a, ev, q, error)"
.br
.RI " "
.br
.RI "With the definitions of the input and output variables:"
.br
.RI "class(elpa_t) :: \fBelpa\fP ! returns an instance of the ELPA object"
.br
.TP
.RI "datatype :: \fBa\fP"
The matrix a for which the eigenvalues should be computed. The dimensions of matrix a must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(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 skew-symmetric, this is not checked by the routine.
.TP
.RI "datatype :: \fBev\fP"
The vector ev where the eigenvalues will be stored in \fIascending\fP 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.
.RI "datatype :: \fBq\fP"
The storage space for the computed eigenvectors. The dimensions of matrix a must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(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)". Note, that for a skew-symmetric matrix the eigenvectors are complex. The routines returns separately the real and imaginary parts of the complex eigenvectors. Thus, the storage space has to be of dimension q(#numer_of_rows,2*#number_of_column).
.TP
.RI "integer, optional :: \fBerror\fP"
The return error code of the function. Should be "ELPA_OK". The error code can be querried with the function \fBelpa_strerr\fP(3)
.RI "With the definitions of the input and output variables:"
.br
.TP
.RI "elpa_t \fBhandle\fP;"
The handle to the ELPA object
.TP
.RI "datatype *\fBa\fP;"
The matrix a for which the eigenvalues should be computed. The dimensions of the matrix must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(3). The \fBdatatype\fP 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.
.TP
.RI "datatype *\fBev\fP;"
The storage for the computed eigenvalues. Eigenvalues will be stored in \fIascendig\fP order. The \fBdatatype\fP can be either "double" or "float". Note that the eigenvalues of complex hermitian matrices are also real.
.TP
.RI "datatype *\fBq\fP;"
The storage space for the computed eigenvectors. The dimensions of the matrix must be set \fIBEFORE\fP with the methods \fBelpa_set\fP(3) and \fBelpa_setup\fP(3). The \fBdatatype\fP can be one of "double", "float", "double complex", or "float complex". Note, that for a skew-symmetric matrix the eigenvectors are complex. The routines returns separately the real and imaginary parts of the complex eigenvectors. Thus, the storage space has to be of dimension q(#numer_of_rows,2*#number_of_column).
.TP
.RI "int *\fBerror\fP;"
The error code of the function. Should be "ELPA_OK". The error codes can be querried with \fBelpa_strerr\fP(3)
.SH DESCRIPTION
Compute the eigenvalues and (parts of) the eigenvector spectrum of a real symmetric or complex hermitian matrix.The functions \fBelpa_init\fP(3), \fBelpa_allocate\fP(3), \fBelpa_set\fP(3), and \fBelpa_setup\fP(3) must be called \fIBEFORE\fP \fBelpa_eigenvalues\fP can be called. Especially the number of eigenvectors to be computed can be set with \fPelpa_set\fB(3)