Linear Algebra and the C Language/a03m


Install and compile this file in your working directory.

/* ------------------------------------ */
/*  Save as:   c01b.c                   */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define   RA R3
#define   CA C2
/* ------------------------------------ */
#define FACTOR_E        +1.E-0         
/* ------------------------------------ */
int main(void)
{
double tA[RA*CA]={
 1, -1, 
 3,  2, 
-2,  4
};

double **A    =    ca_A_mR(tA,     i_mR(RA,CA));
double **Pinv = Pinv_Rn_mR(A,      i_mR(CA,RA),FACTOR_E);; 
double **Ide  =     mul_mR(Pinv,A, i_mR(CA,CA));  ;         

  clrscrn();
  printf(" A:");
  p_mR(A, S7,P2,C7);
  
  printf(" Pinv = V invS_T U_T ");
  pE_mR(Pinv, S12,P4,C10);  
  
  printf(" Ide = Pinv A                     (The left 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 :
  +1.00   -1.00 
  +3.00   +2.00 
  -2.00   +4.00 

 Pinv = V * invS_T * U_T 
 +6.3158e-02  +2.4211e-01  -1.0526e-01 
 -3.8596e-02  +1.2982e-01  +1.7544e-01 

 Ide = Pinv * A                     (The left inverse of A)
  +1.00   +0.00 
  -0.00   +1.00 

 Press return to continue.