arb/arb_mat/frobenius_norm.c
2016-04-06 12:25:57 -04:00

51 lines
1.5 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 "arb_mat.h"
void
arb_mat_frobenius_norm(arb_t res, const arb_mat_t A, slong prec)
{
slong i, j, r, c;
r = arb_mat_nrows(A);
c = arb_mat_ncols(A);
arb_zero(res);
if (r == 0 || c == 0)
return;
for (i = 0; i < r; i++)
{
for (j = 0; j < c; j++)
{
arb_srcptr x = arb_mat_entry(A, i, j);
arb_addmul(res, x, x, prec);
}
}
arb_sqrtpos(res, res, prec);
}