Linear Algebra and the C Language/a0m4


Install and compile this file in your working directory.

/* ------------------------------------ */
/*  Save as :   c03a.c                  */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define   RCA R4
/* ------------------------------------ */
int main(void)
{
double a[RCA*RCA]={
+9.387051138013, +1.478424899325,  +0.973685336456,  -0.700350180421, 
+1.478424899325, +9.614194406175,  +0.773429774749,  -1.033063523876, 
+0.973685336456, +0.773429774749, +10.505111304292,  +1.482769644746, 
-0.700350180421, -1.033063523876,  +1.482769644746, +10.493643151520    
};

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=[
+9.387051138,+1.478424899,+0.973685336,-0.700350180;
+1.478424899,+9.614194406,+0.773429775,-1.033063524;
+0.973685336,+0.773429775,+10.505111304,+1.482769645;
-0.700350180,-1.033063524,+1.482769645,+10.493643152]

 [V, E] = eigs (a,4) 

 EValue:
   +12.000 
   +12.000 
    +8.000 
    +8.000 

 Press return to continue.