Linear Algebra and the C Language/a03s
Install and compile this file in your working directory.
/* ------------------------------------ */
/* Save as: c02c.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define RA R3
#define CA C5
/* ------------------------------------ */
#define FACTOR_E +1.E-6
/* ------------------------------------ */
void fun(void)
{
double **A = r_mR( i_mR(RA,CA),999999);
double **Pinv = Pinv_Cn_mR(A, i_mR(CA,RA),FACTOR_E);
double **Ide = mul_mR(A,Pinv, i_mR(RA,RA));
clrscrn();
printf(" A:");
p_mR(A, S13,P2,C7);
printf(" PseudoInverse = V invS_T U_T ");
pE_mR(Pinv, S13,P4,C10);
printf(" Ide = A Pinv (The right inverse of A)");
p_mR(Ide, S7,P2,C10);
f_mR(A);
f_mR(Pinv);
f_mR(Ide);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun();
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Screen output example:
A :
+681786.00 +796558.00 -688542.00 +371486.00 -177999.00
+886803.00 +335689.00 +521163.00 -542720.00 -489630.00
-783037.00 -884829.00 +190434.00 +443997.00 -724191.00
PseudoInverse = V * invS_T * U_T
+2.3763e-07 +4.2248e-07 -9.2123e-08
+2.9401e-07 +9.1179e-09 -2.6064e-07
-4.9559e-07 +4.1785e-07 -8.1152e-09
+4.9430e-07 -2.7190e-07 +3.5477e-07
-4.4344e-07 -5.2477e-07 -7.4742e-07
Ide = A * Pinv (The right inverse of A)
+1.00 +0.00 +0.00
-0.00 +1.00 -0.00
-0.00 +0.00 +1.00
Press return to continue
Press X return to stop