gr_mat_hessenberg, gr_mat_hessenberg_gauss, gr_mat_hessenberg_householder
Synopsis
#include <flint/gr_mat.h>Set res to an upper Hessenberg matrix similar to A, computed with Gaussian elimination (similarity transformations by elementary matrices) or with Householder reflections; the default uses Gaussian elimination. They need divisions and zero tests, and the Householder version also square roots and complex conjugation, and return GR_DOMAIN or GR_UNABLE if these fail.
Cite this page
The FLINT team, “gr_mat_hessenberg, gr_mat_hessenberg_gauss, gr_mat_hessenberg_householder (gr_mat.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_mat/gr_mat_hessenberg.html (generated 2026-10-20).
@misc{flint-doc-gr-mat-gr-mat-hessenberg,
author = {{The FLINT team}},
title = {{gr\_mat\_hessenberg, gr\_mat\_hessenberg\_gauss, gr\_mat\_hessenberg\_householder (gr\_mat.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/gr_mat/gr_mat_hessenberg.html},
note = {Generated 2026-10-20}
}