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
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
|
/* driver for lmstr example. */
#include <stdio.h>
#include <math.h>
#include <minpack.h>
void fcn(int *m, int *n, double *x, double *fvec, double *fjrow, int *iflag);
int main()
{
int j, m, n, ldfjac, maxfev, mode, nprint, info, nfev, njev;
int ipvt[3];
double ftol, xtol, gtol, factor, fnorm;
double x[3], fvec[15], fjac[3*3], diag[3], qtf[3],
wa1[3], wa2[3], wa3[3], wa4[15];
int one=1;
m = 15;
n = 3;
/* the following starting values provide a rough fit. */
x[1-1] = 1.;
x[2-1] = 1.;
x[3-1] = 1.;
ldfjac = 3;
/* set ftol and xtol to the square root of the machine */
/* and gtol to zero. unless high solutions are */
/* required, these are the recommended settings. */
ftol = sqrt(dpmpar_(&one));
xtol = sqrt(dpmpar_(&one));
gtol = 0.;
maxfev = 400;
mode = 1;
factor = 1.e2;
nprint = 0;
lmstr_(&fcn, &m, &n, x, fvec, fjac, &ldfjac, &ftol, &xtol, >ol,
&maxfev, diag, &mode, &factor, &nprint, &info, &nfev, &njev,
ipvt, qtf, wa1, wa2, wa3, wa4);
fnorm = enorm_(&m, fvec);
printf(" final L2 norm of the residuals%15.7g\n\n", fnorm);
printf(" number of function evaluations%10i\n\n", nfev);
printf(" number of Jacobian evaluations%10i\n\n", njev);
printf(" exit parameter %10i\n\n", info);
printf(" final approximate solution\n");
for (j=1; j<=n; j++) printf("%s%15.7g", j%3==1?"\n ":"", x[j-1]);
printf("\n");
return 0;
}
void fcn(int *m, int *n, double *x, double *fvec, double *fjrow, int *iflag)
{
/* subroutine fcn for lmstr example. */
int i;
double tmp1, tmp2, tmp3, tmp4;
double y[15]={1.4e-1, 1.8e-1, 2.2e-1, 2.5e-1, 2.9e-1, 3.2e-1, 3.5e-1,
3.9e-1, 3.7e-1, 5.8e-1, 7.3e-1, 9.6e-1, 1.34, 2.1, 4.39};
if (*iflag == 0)
{
/* insert print statements here when nprint is positive. */
return;
}
if (*iflag < 2)
{
for (i = 1; i <= 15; i++)
{
tmp1 = i;
tmp2 = 16 - i;
tmp3 = tmp1;
if (i > 8) tmp3 = tmp2;
fvec[i-1] = y[i-1] - (x[1-1] + tmp1/(x[2-1]*tmp2 + x[3-1]*tmp3));
}
}
else
{
i = *iflag - 1;
tmp1 = i;
tmp2 = 16 - i;
tmp3 = tmp1;
if (i > 8) tmp3 = tmp2;
tmp4 = (x[2-1]*tmp2 + x[3-1]*tmp3); tmp4 = tmp4*tmp4;
fjrow[1-1] = -1.;
fjrow[2-1] = tmp1*tmp2/tmp4;
fjrow[3-1] = tmp1*tmp3/tmp4;
}
return;
}
|
