StarNEig User's Guide  v0.1.4
A task-based library for solving dense nonsymmetric eigenvalue problems
gep_sm.h File Reference

This file contains shared memory interface functions for generalized eigenvalue problems. More...

Go to the source code of this file.

Functions

Computational functions
starneig_error_t starneig_GEP_SM_HessenbergTriangular (int n, double A[], int ldA, double B[], int ldB, double Q[], int ldQ, double Z[], int ldZ)
 Computes a Hessenberg-triangular decomposition of a general matrix pencil. More...
 
starneig_error_t starneig_GEP_SM_Schur (int n, double H[], int ldH, double R[], int ldR, double Q[], int ldQ, double Z[], int ldZ, double real[], double imag[], double beta[])
 Computes a generalized Schur decomposition given a Hessenberg-triangular decomposition. More...
 
starneig_error_t starneig_GEP_SM_ReorderSchur (int n, int selected[], double S[], int ldS, double T[], int ldT, double Q[], int ldQ, double Z[], int ldZ, double real[], double imag[], double beta[])
 Reorders selected generalized eigenvalues to the top left corner of a generalized Schur decomposition. More...
 
starneig_error_t starneig_GEP_SM_Reduce (int n, double A[], int ldA, double B[], int ldB, double Q[], int ldQ, double Z[], int ldZ, double real[], double imag[], double beta[], int(*predicate)(double real, double imag, double beta, void *arg), void *arg, int selected[], int *num_selected)
 Computes a (reordered) generalized Schur decomposition given a general matrix pencil. More...
 
starneig_error_t starneig_GEP_SM_Eigenvectors (int n, int selected[], double S[], int ldS, double T[], int ldT, double Z[], int ldZ, double X[], int ldX)
 Computes a generalized eigenvector for each selected generalized eigenvalue. More...
 
Helper functions
starneig_error_t starneig_GEP_SM_Select (int n, double S[], int ldS, double T[], int ldT, int(*predicate)(double real, double imag, double beta, void *arg), void *arg, int selected[], int *num_selected)
 Generates a selection array for a Schur-triangular matrix pencil using a user-supplied predicate function. More...
 
Expert computational functions
starneig_error_t starneig_GEP_SM_Schur_expert (struct starneig_schur_conf *conf, int n, double H[], int ldH, double R[], int ldR, double Q[], int ldQ, double Z[], int ldZ, double real[], double imag[], double beta[])
 Computes a generalized Schur decomposition given a Hessenberg-triangular decomposition. More...
 
starneig_error_t starneig_GEP_SM_ReorderSchur_expert (struct starneig_reorder_conf *conf, int n, int selected[], double S[], int ldS, double T[], int ldT, double Q[], int ldQ, double Z[], int ldZ, double real[], double imag[], double beta[])
 Reorders selected eigenvalues to the top left corner of a generalized Schur decomposition. More...
 
starneig_error_t starneig_GEP_SM_Eigenvectors_expert (struct starneig_eigenvectors_conf *conf, int n, int selected[], double S[], int ldS, double T[], int ldT, double Z[], int ldZ, double X[], int ldX)
 Computes a generalized eigenvector for each selected generalized eigenvalue. More...
 

Detailed Description

This file contains shared memory interface functions for generalized 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