Linear Algebra and the C Language/a0dz
Install and compile this file in your working directory.
/* ------------------------------------ */
/* Save as : c00d.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define FACTOR_E +1.E-5
/* ------------------------------------ */
void fun(int r,int c)
{
double **A = r_mR( i_mR(r,c),99999.);
double **Pinv = Pinv_Cn_mR(A, i_mR(c,r),FACTOR_E);
double **Ide = mul_mR(A,Pinv, i_mR(r,r));
clrscrn();
printf(" Copy/Paste into the octave windows \n\n\n");
p_Octave_mR(A,"A",P2);
printf("pinv(A)\n\n\n");
stop();
clrscrn();
printf(" Pinv = V invS_T U_T ");
pE_mR(Pinv,S12,P4,C10);
printf(" Ide = A Pinv");
p_mR(Ide,S10,P6,C10);
f_mR(A);
f_mR(Pinv);
f_mR(Ide);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
int i;
do
{
i = rp_I(R3)+R1;
fun(i,i+C3);
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Screen output example:
Copy/Paste into the octave windows
A=[
+38529.00,+16644.00,+30908.00,-35337.00,-34628.00,-72897.00,-50057.00;
+20658.00,-49492.00,+43433.00,-83263.00,-31134.00,+63462.00,+78069.00;
+12935.00,+43203.00,-37124.00,-17738.00,+1352.00,-88430.00,+63252.00;
-78739.00,+9366.00,-1933.00,-77534.00,+64564.00,-43048.00,-94247.00]
pinv(A)
Press return to continue.
Pinv = V invS_T U_T
+4.8109e-06 +1.9045e-07 -6.5455e-07 -3.8278e-06
+1.3634e-07 -1.9080e-06 +2.4002e-06 -1.2234e-07
+3.9803e-06 +1.9427e-06 -3.0888e-06 -4.4616e-07
-1.7334e-06 -5.5783e-06 -2.0126e-06 -4.1986e-06
-4.5721e-06 -7.7480e-07 +1.3548e-06 +3.1231e-06
-3.5930e-06 +1.5166e-06 -4.5640e-06 -6.3738e-07
-4.1524e-06 +2.9770e-06 +5.5172e-06 -1.5308e-06
Ide = A Pinv
+1.000000 -0.000000 +0.000000 -0.000000
-0.000000 +1.000000 +0.000000 -0.000000
+0.000000 +0.000000 +1.000000 +0.000000
-0.000000 -0.000000 -0.000000 +1.000000
Press return to continue
Press X return to stop