mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
45 lines
967 B
C
45 lines
967 B
C
/*
|
|
Copyright (C) 2016 Arb authors
|
|
|
|
This file is part of Arb.
|
|
|
|
Arb is free software: you can redistribute it and/or modify it under
|
|
the terms of the GNU Lesser General Public License (LGPL) as published
|
|
by the Free Software Foundation; either version 2.1 of the License, or
|
|
(at your option) any later version. See <http://www.gnu.org/licenses/>.
|
|
*/
|
|
|
|
#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);
|
|
}
|