Mathc complexes/a109
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c00a.c |
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/* ------------------------------------ */
/* Save as : c00a.c */
/* ------------------------------------ */
#include "w_a.h"
/* ------------------------------------ */
#define FACTOR_E +1.E-2
#define RCA RC4
/* ------------------------------------ */
/* ------------------------------------ */
void fun(int r)
{
double **A = rcsymmetric_mRZ(i_mZ(RCA,RCA),99);
double **V = i_mZ(RCA,RCA);
double **cV_T = i_mZ(RCA,RCA);
double **T = i_mZ(RCA,RCA);
double **EValue = i_mZ(RCA,C1);
double **EigsValue = i_mZ(RCA,RCA);
clrscrn();
printf(" Copy/Past into the octave windows \n\n\n");
p_Octave_mRZ(A,"a",P0);
printf(" [V, E] = eigs (a,10) \n\n\n");
/* V and cV_T*/
eigs_V_mZ(A,V,FACTOR_E);
printf(" V :");
pE_mRZ(V, S12,P4, C4);
printf(" cV_T :");
pE_mRZ(ctranspose_mZ(V,cV_T), S12,P4, C4);
stop();
clrscrn();
eigs_mZ(A,EValue);
printf(" EigsValue :");
p_mRZ(EValue, S12,P4, C4);
/* EigsValue = cV_T * A * V */
mul_mZ(cV_T,A,T);
mul_mZ(T,V,EigsValue);
printf(" EigsValue = cV_T * A * V");
p_mRZ(EigsValue, S12,P4, C4);
f_mZ(A);
f_mZ(V);
f_mZ(cV_T);
f_mZ(EigsValue);
f_mZ(EValue);
f_mZ(T);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun(R3);
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
EValue = cV_T * A * V
Exemple de sortie écran :
------------------------------------
Copy/Past into the octave windows
a=[
+22011,+4547,+3926,+9012;
+4547,+12653,-3030,+1118;
+3926,-3030,+2896,+1382;
+9012,+1118,+1382,+12249]
[V, E] = eigs (a,10)
V :
+8.3668e-01 +8.2658e-02 -4.7182e-01 -2.6554e-01
+2.4211e-01 -9.0986e-01 +8.6677e-02 +3.2562e-01
+1.2279e-01 +3.3433e-01 -2.3296e-01 +9.0492e-01
+4.7567e-01 +2.3140e-01 +8.4593e-01 +6.7734e-02
cV_T :
+8.3668e-01 +2.4211e-01 +1.2279e-01 +4.7567e-01
+8.2658e-02 -9.0986e-01 +3.3433e-01 +2.3140e-01
-4.7182e-01 +8.6677e-02 -2.3296e-01 +8.4593e-01
-2.6554e-01 +3.2562e-01 +9.0492e-01 +6.7734e-02
Press return to continue.
------------------------------------
EigsValue :
+29026.4441
+13068.9784
+6956.4827
+757.0947
EigsValue = cV_T * A * V
+29026.4441 +0.0000 -0.0000 -0.0000
+0.0000 +13068.9784 -0.0000 -0.0000
-0.0000 -0.0000 +6956.4827 -0.0000
-0.0000 -0.0000 -0.0000 +757.0947
Press return to continue
Press X to stop