arb/acb_mat/bound_frobenius_norm.c
2016-04-06 12:25:57 -04:00

59 lines
1.6 KiB
C

/*=============================================================================
This file is part of ARB.
ARB is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
ARB is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with ARB; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2016 Arb authors
******************************************************************************/
#include "acb_mat.h"
void
acb_mat_bound_frobenius_norm(mag_t b, const acb_mat_t A)
{
slong i, j, r, c;
mag_t t;
r = acb_mat_nrows(A);
c = acb_mat_ncols(A);
mag_zero(b);
if (r == 0 || c == 0)
return;
mag_init(t);
for (i = 0; i < r; i++)
{
for (j = 0; j < c; j++)
{
acb_srcptr z = acb_mat_entry(A, i, j);
arb_get_mag(t, acb_realref(z));
mag_addmul(b, t, t);
arb_get_mag(t, acb_imagref(z));
mag_addmul(b, t, t);
}
}
mag_sqrt(b, b);
mag_clear(t);
}