Linear Algebra and the C Language/a0cb
Install and compile this file in your working directory.
/* ------------------------------------ */
/* Save as : c00a.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define RCA RC5
/* ------------------------------------ */
/* ------------------------------------ */
void fun(void)
{
double **A = rEsymmetric_mR(i_mR(RCA,RCA),999,+1.E-3);
double **EValue = i_mR(RCA,RCA);
double **Exp_EValue = i_mR(RCA,RCA);
double **ExpA = i_mR(RCA,RCA);
double **V = i_mR(RCA,RCA);
double **V_T = i_mR(RCA,RCA);
double **T = i_mR(RCA,RCA);
clrscrn();
printf(" Copy/Paste into the octave window. \n\n");
p_Octave_mR(A,"A", P6);
printf(" expm (A)\n\n\n");
eigs_V_mR(A,V);
transpose_mR(V,V_T);
/* EValue = V_T * A * V */
mul_mR(V_T,A,T);
mul_mR(T,V,EValue);
printf(" ExpA :");
f_eigs_mR(exp,EValue, Exp_EValue);
mul_mR(V,Exp_EValue,T);
mul_mR(T,V_T,ExpA);
p_mR(ExpA, S11,P6, C6);
f_mR(A);
f_mR(EValue);
f_mR(Exp_EValue);
f_mR(ExpA);
f_mR(V);
f_mR(V_T);
f_mR(T);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun();
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Screen output example:
Copy/Paste into the octave window.
A=[
+1.353880,+0.768653,-0.387856,+0.877190,+0.845749;
+0.768653,+1.598690,-0.260210,+0.698741,-0.502396;
-0.387856,-0.260210,+1.984934,-0.726449,-0.703080;
+0.877190,+0.698741,-0.726449,+1.824694,+0.248152;
+0.845749,-0.502396,-0.703080,+0.248152,+3.560136]
expm (A)
ExpA :
+15.309251 +6.738864 -12.239002 +13.347924 +20.093327
+6.738864 +9.968287 -4.782213 +8.330819 -1.171490
-12.239002 -4.782213 +17.167652 -12.770771 -20.930261
+13.347924 +8.330819 -12.770771 +16.694582 +14.541423
+20.093327 -1.171490 -20.930261 +14.541423 +54.197513
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