1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
/*
Copyright (C) 2016 Arb authors
This file is part of FLINT.
FLINT 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 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "arb.h"
#include "arb_mat.h"
void
arb_mat_bound_frobenius_norm(mag_t b, const arb_mat_t A)
{
slong i, j, r, c;
mag_t t;
r = arb_mat_nrows(A);
c = arb_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++)
{
arb_get_mag(t, arb_mat_entry(A, i, j));
mag_addmul(b, t, t);
}
}
mag_sqrt(b, b);
mag_clear(t);
}