Mathc complexes/a300
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c00a.c |
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/* ------------------------------------ */
/* Save as : c00a.c */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
void fun(int r)
{
double **A = i_mZ(r,r);
double **b = i_mZ(r,C1);
double **Ab = i_Abr_Ac_bc_mZ(r,r,C1);
double **Q = i_mZ(r,r);
double **R = i_mZ(r,r);
double **Q_T = i_mZ(r,r);
double **invR = i_mZ(r,r);
double **invR_Q_T = i_mZ(r,r);
double **x = i_mZ(r,C1); // x invR * Q_T * b
do{
r_mZ(A,99.);
printf(".");
}while(!det_Z(A).r||!det_Z(A).i);
clrscrn();
printf(" A :");
p_mZ(A,S5,P0,S3,P0,C6);
printf(" b :");
r_mZ(b,99.);
p_mZ(b,S5,P0,S3,P0,C6);
printf(" Ab :");
c_A_b_Ab_mZ(A,b,Ab);
p_mZ(Ab,S5,P0,S3,P0,C6);
stop();
clrscrn();
QR_mZ(A,Q,R);
printf(" Q :");
p_mZ(Q,S12,P5,S10,P5,C6);
printf(" R :");
p_mZ(R,S12,P5,S10,P5,C6);
stop();
clrscrn();
ctranspose_mZ(Q,Q_T);
printf(" Q_T :");
pE_mZ(Q_T,S9,P5,S7,P5,C6);
inv_mZ(R,invR);
printf(" invR :");
pE_mZ(invR,S9,P5,S7,P5,C6);
stop();
clrscrn();
printf(" Copy/Past into the octave window.\n\n");
p_Octave_mZ(Ab,"Ab",P0,P0);
printf(" rref(Ab,.00000000001)\n\n");
printf(" gj_mZ(Ab) :");
gj_mZ(Ab);
p_mZ(Ab,S9,P5,S7,P5,C6);
mul_mZ(invR,Q_T,invR_Q_T);
mul_mZ(invR_Q_T,b,x);
printf(" x = invR * Q_T * b :");
p_mZ(x,S9,P5,S7,P5,C6);
f_mZ(A);
f_mZ(b);
f_mZ(Ab);
f_mZ(Q);
f_mZ(Q_T);
f_mZ(R);
f_mZ(invR);
f_mZ(invR_Q_T);
f_mZ(x);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun(R3);
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
On obtient le même résultat qu'avec la méthode de gauss jordan
Exemple de sortie écran :
A :
+76.000 +13.00i -47.000 -20.00i -86.000 +6.00i
-88.000 +82.00i -10.000 -2.00i -95.000 -31.00i
+53.000 -12.00i +34.000 +36.00i +23.000 +83.00i
b :
-578.000 +58.00i
-72.000+141.00i
+663.000+890.00i
Ab :
+76.000 +13.00i -47.000 -20.00i -86.000 +6.00i -578.000 +58.00i
-88.000 +82.00i -10.000 -2.00i -95.000 -31.00i -72.000+141.00i
+53.000 -12.00i +34.000 +36.00i +23.000 +83.00i +663.000+890.00i
Press return to continue.
Q :
+0.497 +0.09i -0.578 -0.39i -0.510 +0.04i
-0.576 +0.54i -0.118 +0.19i -0.460 +0.35i
+0.347 -0.08i +0.531 +0.43i -0.615 -0.17i
R :
+152.859 +0.00i -11.422 +15.72i -2.728+109.69i
+0.000 +0.00i +69.191 +0.00i +100.425 +19.11i
+0.000 -0.00i -0.000 +0.00i +48.443 +0.00i
Press return to continue.
Q_T :
+4.972e-01-8.50e-02i -5.757e-01-5.36e-01i +3.467e-01+7.85e-02i
-5.779e-01+3.88e-01i -1.177e-01-1.90e-01i +5.308e-01-4.29e-01i
-5.098e-01-3.51e-02i -4.598e-01-3.45e-01i -6.148e-01+1.74e-01i
invR :
+6.542e-03-4.49e-19i +1.080e-03-1.49e-03i -2.457e-03-1.22e-02i
+0.000e+00+0.00e+00i +1.445e-02-4.15e-18i -2.996e-02-5.70e-03i
+0.000e+00-0.00e+00i -0.000e+00+0.00e+00i +2.064e-02-3.24e-18i
Press return to continue.
Copy/Past into the octave window.
Ab=[
+76+13*i,-47-20*i,-86+6*i,-578+58*i;
-88+82*i,-10-2*i,-95-31*i,-72+141*i;
+53-12*i,+34+36*i,+23+83*i,+663+890*i]
rref(Ab,.00000000001)
Press return to continue.
gj_mZ(Ab) :
+1.000 +0.00i -0.000 -0.00i +0.000 +0.00i -4.373 +4.33i
+0.000 +0.00i +1.000 -0.00i +0.000 +0.00i +18.379 +14.42i
+0.000 +0.00i +0.000 +0.00i +1.000 -0.00i -3.797 -9.93i
x = invR * Q_T * b :
-4.373 +4.33i
+18.379 +14.42i
-3.797 -9.93i
Press return to continue
Press X return to stop