Linear Algebra and the C Language/a03r
Install and compile this file in your working directory.
/* ------------------------------------ */
/* Save as: c02b.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define RA R3
#define CA C5
/* ------------------------------------ */
#define FACTOR_E +1.E-0
/* ------------------------------------ */
int main(void)
{
double tA[RA*CA]={
+8.00, -5.00, +1.00, +3.00, +8.00,
-2.00, +6.00, -2.00, -8.00, -2.00,
+3.00, -9.00, +9.00, +7.00, -7.00
};
double **A = ca_A_mR(tA, i_mR(RA,CA));
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, S7,P2,C7);
printf(" PseudoInverse = V invS_T U_T ");
pE_mR(Pinv, S12,P4,C10);
printf(" Ide = A Pinv (The right inverse of A)");
p_mR(Ide, S7,P2,C10);
stop();
f_mR(A);
f_mR(Pinv);
f_mR(Ide);
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Screen output example:
A :
+8.00 -5.00 +1.00 +3.00 +8.00
-2.00 +6.00 -2.00 -8.00 -2.00
+3.00 -9.00 +9.00 +7.00 -7.00
PseudoInverse = V * invS_T * U_T
+8.9736e-02 +9.4303e-02 +3.8876e-02
-1.6303e-02 +1.4763e-02 -2.4265e-02
+2.5728e-02 +6.4743e-02 +5.8226e-02
-5.1374e-02 -1.4389e-01 -2.9953e-02
+4.1124e-02 -3.9211e-02 -5.0088e-02
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.