.RI "With the definintions of the input and output variables:"
.br
.RI "int \fBna\fP: global dimension of quadratic matrix \fBa\fP to solve"
.br
.RI "int \fBnev\fP: number of eigenvalues to be computed; the first \fBnev\fP eigenvalules are calculated"
.br
.RI "double complex *\fBa\fP: pointer to locally distributed part of the matrix \fBa\fP. The local dimensions are \fBlda\fP x \fBmatrixCols\fP"
.br
.RI "int \fBlda\fP: leading dimension of locally distributed matrix \fBa\fP"
.br
.RI "double *\fBev\fP: pointer to memory containing on output the first \fBnev\fP computed eigenvalues"
.br
.RI "double complex *\fBq\fP: pointer to memory containing on output the first \fBnev\fP computed eigenvectors"
.br
.RI "int \fBldq\fP: leading dimension of matrix \fBq\fP which stores the eigenvectors"
.br
.RI "int \fBnblk\fP: blocksize of block cyclic distributin, must be the same in both directions"
.br
.RI "int \fBmatrixCols\fP: number of columns of locally distributed matrices \fBa\fP and \fBq\fP"
.br
.RI "int \fBmpi_comm_rows\fP: communicator for communication in rows. Constructed with \fBelpa_get_communicators\fP(3)"
.br
.RI "int \fBmpi_comm_cols\fP: communicator for communication in colums. Constructed with \fBelpa_get_communicators\fP(3)"
.br
.RI "int \fBmpi_comm_all\fP: communicator for all processes in the processor set involved in ELPA"
.br
.RI "int \fBTHIS_ELPA_COMPLEX_KERNEL\fp: choose the compute kernel for 2-stage solver"
.br
.RI "char *\fBmethod\fP: use 1stage solver if "1stage", use 2stage solver if "2stage", (at the moment) use 2stage solver if "auto" "
.RI "int \fBsuccess\fP: return value indicating success (1) or failure (0)
.SH DESCRIPTION
Solve the complex eigenvalue problem with the 2-stage solver. The ELPA communicators \fBmpi_comm_rows\fP and \fBmpi_comm_cols\fP are obtained with the \fBelpa_get_communicators\fP(3) function. The distributed quadratic marix \fBa\fP has global dimensions \fBna\fP x \fBna\fP, and a local size \fBlda\fP x \fBmatrixCols\fP. The solver will compute the first \fBnev\fP eigenvalues, which will be stored on exit in \fBev\fP. The eigenvectors corresponding to the eigenvalues will be stored in \fBq\fP. All memory of the arguments must be allocated outside the call to the solver.
.br
The interface \fBelpa_solve_evp_complex\fP(3) is a more flexible alternative.
.RI "With the definintions of the input and output variables:"
.br
.RI "int \fBna\fP: global dimension of quadratic matrix \fBa\fP to solve"
.br
.RI "int \fBnev\fP: number of eigenvalues to be computed; the first \fBnev\fP eigenvalules are calculated"
.br
.RI "double *\fBa\fP: pointer to locally distributed part of the matrix \fBa\fP. The local dimensions are \fBlda\fP x \fBmatrixCols\fP"
.br
.RI "int \fBlda\fP: leading dimension of locally distributed matrix \fBa\fP"
.br
.RI "double *\fBev\fP: pointer to memory containing on output the first \fBnev\fP computed eigenvalues"
.br
.RI "double *\fBq\fP: pointer to memory containing on output the first \fBnev\fP computed eigenvectors"
.br
.RI "int \fBldq\fP: leading dimension of matrix \fBq\fP which stores the eigenvectors"
.br
.RI "int \fBnblk\fP: blocksize of block cyclic distributin, must be the same in both directions"
.br
.RI "int \fBmatrixCols\fP: number of columns of locally distributed matrices \fBa\fP and \fBq\fP"
.br
.RI "int \fBmpi_comm_rows\fP: communicator for communication in rows. Constructed with \fBelpa_get_communicators\fP(3)"
.br
.RI "int \fBmpi_comm_cols\fP: communicator for communication in colums. Constructed with \fBelpa_get_communicators\fP(3)"
.br
.RI "int \fBmpi_comm_all\fP: communicator for all processes in the processor set involved in ELPA"
.br
.RI "int \fBTHIS_ELPA_REAL_KERNEL\fp: choose the compute kernel for 2-stage solver"
.br
.RI "int \fBuseQR\fP: if set to 1 switch to QR-decomposition"
.RI "int \fBsuccess\fP: return value indicating success (1) or failure (0)
.SH DESCRIPTION
Solve the real eigenvalue problem with the 2-stage solver. The ELPA communicators \fBmpi_comm_rows\fP and \fBmpi_comm_cols\fP are obtained with the \fBelpa_get_communicators\fP(3) function. The distributed quadratic marix \fBa\fP has global dimensions \fBna\fP x \fBna\fP, and a local size \fBlda\fP x \fBmatrixCols\fP. The solver will compute the first \fBnev\fP eigenvalues, which will be stored on exit in \fBev\fP. The eigenvectors corresponding to the eigenvalues will be stored in \fBq\fP. All memory of the arguments must be allocated outside the call to the solver.
.br
The interface \fBelpa_solve_evp_real\fP(3) is a more flexible alternative.
@@ -49,4 +49,4 @@ Old, deprecated interface, which will be deleted at some point. Use \fBsolve_evp
Solve the complex eigenvalue problem with the 1-stage solver. The ELPA communicators \fBmpi_comm_rows\fP and \fBmpi_comm_cols\fP are obtained with the \fBelpa_get_communicators\fP(3) function. The distributed quadratic marix \fBa\fP has global dimensions \fBna\fP x \fBna\fP, and a local size \fBlda\fP x \fBmatrixCols\fP. The solver will compute the first \fBnev\fP eigenvalues, which will be stored on exit in \fBev\fP. The eigenvectors corresponding to the eigenvalues will be stored in \fBq\fP. All memory of the arguments must be allocated outside the call to the solver.
@@ -49,4 +49,4 @@ Old, deprecated interface, which will be deleted at some point. Use \fBsolve_evp
Solve the real eigenvalue problem with the 1-stage solver. The ELPA communicators \fBmpi_comm_rows\fP and \fBmpi_comm_cols\fP are obtained with the \fBelpa_get_communicators\fP(3) function. The distributed quadratic marix \fBa\fP has global dimensions \fBna\fP x \fBna\fP, and a local size \fBlda\fP x \fBmatrixCols\fP. The solver will compute the first \fBnev\fP eigenvalues, which will be stored on exit in \fBev\fP. The eigenvectors corresponding to the eigenvalues will be stored in \fBq\fP. All memory of the arguments must be allocated outside the call to the solver.
!> \brief elpa_solve_evp_real_2stage: Fortran function to solve the real eigenvalue problem with a 2 stage approach. This is called by "elpa_solve_evp_real"
!>
!> Parameters
!>
!> \param na Order of matrix a
!>
!> \param nev Number of eigenvalues needed
!>
!> \param a(lda,matrixCols) Distributed matrix for which eigenvalues are to be computed.
!> Distribution is like in Scalapack.
!> The full matrix must be set (not only one half like in scalapack).
!> Destroyed on exit (upper and lower half).
!>
!> \param lda Leading dimension of a
!>
!> \param ev(na) On output: eigenvalues of a, every processor gets the complete set
!>
!> \param q(ldq,matrixCols) On output: Eigenvectors of a
!> Distribution is like in Scalapack.
!> Must be always dimensioned to the full size (corresponding to (na,na))
!> even if only a part of the eigenvalues is needed.
!>
!> \param ldq Leading dimension of q
!>
!> \param nblk blocksize of cyclic distribution, must be the same in both directions!
!>
!> \param matrixCols local columns of matrix a and q
!>
!> \param mpi_comm_rows MPI communicator for rows
!> \param mpi_comm_cols MPI communicator for columns
!> \param mpi_comm_all MPI communicator for the total processor set
!>
!> \param THIS_REAL_ELPA_KERNEL_API (optional) specify used ELPA2 kernel via API
!>
!> \param use_qr (optional) use QR decomposition
!>
!> \result success logical, false if error occured
!> \brief elpa_solve_evp_complex_2stage: Fortran function to solve the complex eigenvalue problem with a 2 stage approach. This is called by "elpa_solve_evp_complex"
!>
!> Parameters
!>
!> \param na Order of matrix a
!>
!> \param nev Number of eigenvalues needed
!>
!> \param a(lda,matrixCols) Distributed matrix for which eigenvalues are to be computed.
!> Distribution is like in Scalapack.
!> The full matrix must be set (not only one half like in scalapack).
!> Destroyed on exit (upper and lower half).
!>
!> \param lda Leading dimension of a
!>
!> \param ev(na) On output: eigenvalues of a, every processor gets the complete set
!>
!> \param q(ldq,matrixCols) On output: Eigenvectors of a
!> Distribution is like in Scalapack.
!> Must be always dimensioned to the full size (corresponding to (na,na))
!> even if only a part of the eigenvalues is needed.
!>
!> \param ldq Leading dimension of q
!>
!> \param nblk blocksize of cyclic distribution, must be the same in both directions!
!>
!> \param matrixCols local columns of matrix a and q
!>
!> \param mpi_comm_rows MPI communicator for rows
!> \param mpi_comm_cols MPI communicator for columns
!> \param mpi_comm_all MPI communicator for the total processor set
!>
!> \param THIS_REAL_ELPA_KERNEL_API (optional) specify used ELPA2 kernel via API
!>
!> \result success logical, false if error occured
!> \brief solve_evp_real_2stage: Fortran function to solve the real eigenvalue problem with a 2 stage approach. This is called by "elpa_solve_evp_real"
!> \brief solve_evp_real_2stage: Old, deprecated interface better use "elpa_solve_evp_real_2stage"
!>
!> Parameters
!>
...
...
@@ -335,7 +419,7 @@ end function solve_evp_real_2stage
!> \brief solve_evp_complex_2stage: Fortran function to solve the complex eigenvalue problem with a 2 stage approach. This is called by "elpa_solve_evp_complex"
!> \brief solve_evp_complex_2stage: Old, deprecated interface. Better use "elpa_solve_evp_complex_2stage"
