Linear Algebra and the C Language/a03p
Install and compile this file in your working directory.
/* ------------------------------------ */
/* Save as: c01e.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define RA R5
#define CA C3
/* ------------------------------------ */
#define FACTOR_E +1.E-0
/* ------------------------------------ */
void fun(void)
{
double **A = r_mR( i_mR(RA,CA),9);
double **Pinv = Pinv_Rn_mR(A, i_mR(CA,RA),FACTOR_E);
double **PinvA = mul_mR(Pinv,A, i_mR(CA,CA));
double **PinvAPinv = mul_mR(PinvA,Pinv, i_mR(CA,RA));
clrscrn();
printf(" A:");
p_mR(A, S7,P2,C7);
printf(" Pinv = V invS_T U_T ");
pE_mR(Pinv, S12,P4,C10);
stop();
clrscrn();
printf(" Pinv*A:");
p_mR(PinvA, S7,P2,C10);
printf(" Pinv*A*Pinv:");
p_mR(PinvAPinv, S7,P4,C10);
printf(" Pinv:");
p_mR(Pinv, S7,P4,C7);
f_mR(A);
f_mR(Pinv);
f_mR(PinvA);
f_mR(PinvAPinv);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
{
fun();
} while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Screen output example:
A :
+2.00 -3.00 -8.00
+6.00 -1.00 -2.00
+3.00 -7.00 +5.00
+3.00 +2.00 +1.00
+6.00 -4.00 -1.00
Pinv = V * invS_T * U_T
-2.5492e-02 +8.6143e-02 -1.0818e-02 +7.7915e-02 +5.5473e-02
-5.7862e-02 +4.2756e-02 -9.3775e-02 +7.6606e-02 -1.4884e-02
-9.0331e-02 -5.1942e-03 +4.7848e-02 +2.6068e-02 -1.6535e-03
Press return to continue.
Pinv*A :
+1.00 +0.00 -0.00
-0.00 +1.00 +0.00
+0.00 -0.00 +1.00
Pinv*A*Pinv :
-0.0255 +0.0861 -0.0108 +0.0779 +0.0555
-0.0579 +0.0428 -0.0938 +0.0766 -0.0149
-0.0903 -0.0052 +0.0478 +0.0261 -0.0017
Pinv :
-0.0255 +0.0861 -0.0108 +0.0779 +0.0555
-0.0579 +0.0428 -0.0938 +0.0766 -0.0149
-0.0903 -0.0052 +0.0478 +0.0261 -0.0017
Press return to continue
Press X return to stop