Linear Algebra and the C Language/a0d2
Install and compile this file in your working directory.
/* ------------------------------------ */
/* Save as : c00a.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
void fun(int r)
{
double **A = rsymmetric_mR(i_mR(r,r),9.);
double **EigsVector = i_mR(r,r);
double **EigsValue = i_mR(r,r);
double **T_EigsVector = i_mR(r,r);
double **T1 = i_mR(r,r);
clrscrn();
printf(" Copy/Paste into the octave windows \n\n");
p_Octave_mR(A,"a",P0);
printf(" [V, E] = eigs (a,%d) \n\n",r);
stop();
clrscrn();
eigs_V_mR(A,EigsVector);
printf(" EignVector:");
p_mR(EigsVector,S10,P4,C6);
printf(" EigsValue : T_EigsVector * A * EigsVector");
transpose_mR(EigsVector,T_EigsVector);
mul_mR(T_EigsVector,A,T1);
mul_mR(T1,EigsVector,EigsValue);
p_mR(EigsValue,S10,P4,C6);
f_mR(A);
f_mR(EigsVector);
f_mR(T_EigsVector);
f_mR(EigsValue);
f_mR(T1);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun(rp_I(R3)+R1);
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Screen output example:
Copy/Paste into the octave windows
a=[
-9,-6,+7,-2;
-6,+2,+3,+8;
+7,+3,+6,+4;
-2,+8,+4,+4]
[V, E] = eigs (a,4)
Press return to continue.
EignVector:
+0.8592 -0.0614 +0.4757 +0.1780
+0.3732 +0.5792 -0.3650 -0.6262
-0.3499 +0.4804 +0.7748 -0.2158
+0.0072 +0.6558 -0.2006 +0.7278
EigsValue : T_EigsVector * A * EigsVector
-14.4730 +0.0000 -0.0000 +0.0000
+0.0000 +14.1827 +0.0000 +0.0000
-0.0000 +0.0000 +7.8487 -0.0000
+0.0000 +0.0000 -0.0000 -4.5584
Press return to continue
Press X return to stop