Linear Algebra and the C Language/a0lu


Install and compile this file in your working directory.

/* ------------------------------------ */
/*  Save as:   c01a.c                   */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define   RCA R3
/* ------------------------------------ */
int main(void)
{
double a[RCA*RCA]={
+8.146673651126, +0.924044002095,  +1.085385018334, 
+0.924044002095, +13.821477213201, +6.837925615505, 
+1.085385018334, +6.837925615506,  +16.031849135673    
};

double **A      = ca_A_mR(a, i_mR(RCA,RCA));
double **EValue = eigs_mR(A, i_mR(RCA,R1));

  clrscrn();
  printf(" The eigenvectors associated with eigenvalues\n"
         " with multiple multiplicity are not unique.  \n"
         " There exist several set of unit vectors that\n"
         " correspond to the same eigenspace.      \n\n\n"
         
         " Copy/Paste into the octave windows\n\n");
  p_Octave_mR(A,"a",P9);
  printf(" [V, E] = eigs (a,%d) \n\n",RCA);
  
  printf(" EValue:");
  p_mR(EValue,S10,P3,C10); 
          
  stop();

  f_mR(A);
  f_mR(EValue); 

  return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */

Screen output example:

                                                                                       
 The eigenvectors associated with eigenvalues
 with multiple multiplicity are not unique.  
 There exist several set of unit vectors that
 correspond to the same eigenspace.      


 Copy/Paste into the octave windows

 a=[
+8.146673651,+0.924044002,+1.085385018;
+0.924044002,+13.821477213,+6.837925616;
+1.085385018,+6.837925616,+16.031849136]

 [V, E] = eigs (a,3) 

 EValue:
   +22.000 
    +8.000 
    +8.000 

 Press return to continue.