StarNEig Library  version v0.1-beta.3
A task-based library for solving nonsymmetric eigenvalue problems
sep_dm.h File Reference

This file contains distributed memory interface functions for standard eigenvalue problems. More...

Go to the source code of this file.

Functions

Computational functions
starneig_error_t starneig_SEP_DM_Hessenberg (starneig_distr_matrix_t A, starneig_distr_matrix_t Q)
 Computes a Hessenberg decomposition of a general matrix. More...
 
starneig_error_t starneig_SEP_DM_Schur (starneig_distr_matrix_t H, starneig_distr_matrix_t Q, double real[], double imag[])
 Computes a Schur decomposition given a Hessenberg decomposition. More...
 
starneig_error_t starneig_SEP_DM_ReorderSchur (int selected[], starneig_distr_matrix_t S, starneig_distr_matrix_t Q, double real[], double imag[])
 Reorders selected eigenvalues to the top left corner of a Schur decomposition. More...
 
starneig_error_t starneig_SEP_DM_Reduce (starneig_distr_matrix_t A, starneig_distr_matrix_t Q, double real[], double imag[], int(*predicate)(double real, double imag, void *arg), void *arg, int selected[], int *num_selected)
 Computes a (reordered) Schur decomposition of a general matrix. More...
 
starneig_error_t starneig_SEP_DM_Eigenvectors (int selected[], starneig_distr_matrix_t S, starneig_distr_matrix_t Q, starneig_distr_matrix_t X)
 Computes an eigenvector for each selected eigenvalue. More...
 
Helper functions
starneig_error_t starneig_SEP_DM_Select (starneig_distr_matrix_t S, int(*predicate)(double real, double imag, void *arg), void *arg, int selected[], int *num_selected)
 Generates a selection array for a Schur matrix using a user-supplied predicate function. More...
 
Expert computational functions
starneig_error_t starneig_SEP_DM_Schur_expert (struct starneig_schur_conf *conf, starneig_distr_matrix_t H, starneig_distr_matrix_t Q, double real[], double imag[])
 Computes a Schur decomposition given a Hessenberg decomposition. More...
 
starneig_error_t starneig_SEP_DM_ReorderSchur_expert (struct starneig_reorder_conf *conf, int selected[], starneig_distr_matrix_t S, starneig_distr_matrix_t Q, double real[], double imag[])
 Reorders selected eigenvalues to the top left corner of a Schur decomposition. More...
 
starneig_error_t starneig_SEP_DM_Eigenvectors_expert (struct starneig_eigenvectors_conf *conf, int selected[], starneig_distr_matrix_t S, starneig_distr_matrix_t Q, starneig_distr_matrix_t X)
 Computes an eigenvector for each selected eigenvalue. More...
 

Detailed Description

This file contains distributed memory interface functions for standard eigenvalue problems.

Author
Mirko Myllykoski (mirko.nosp@m.m@cs.nosp@m..umu..nosp@m.se), Umeå University
Lars Karlsson (larsk.nosp@m.@cs..nosp@m.umu.s.nosp@m.e), Umeå University

LICENSE

Copyright (c) 2019, Umeå Universitet

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

  1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
  2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
  3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.