Mathc complexes/a62

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	wdx.h

/* ------------------------------------ */
/*  Save as :  wdx.h                    */
/* ------------------------------------ */
/* ------------------------------------ */
double **X_U_mZ(
double **A_T,
double **U,
double factor
)
{
int r = rsize_Z(A_T);
int c = csize_Z(A_T);
int i;

/* ------------------------------------ */
double **sA_T    = smul_mZ(factor,A_T,i_mZ(r,c));
double **sA      = ctranspose_mZ(sA_T,i_mZ(c,r));
double **sA_TsA  =                    i_mZ(r,r);
double **sAsA_T  =                    i_mZ(c,c);
double **M_Ualue =                    i_mZ(r,C1);
/* ------------------------------------ */
double **Ide       =  eye_mZ(i_mZ(c,c));
double **zIde      =         i_mZ(c,c);
double **AmnszIde  =         i_mZ(c,c);
/* ------------------------------------ */
double **Ab  ;
double **b  =           i_mZ(c,  C1 );
/* ------------------------------------ */
double **Ab_free = i_Abr_Ac_bc_mZ(c,c,C2);
double  **b_free = i_mZ(          c,  C2);

/* ------------------------------------ */
  mul_mZ(sA_T,sA,sA_TsA);
  eigs_mZ(sA_TsA,M_Ualue);
/* ------------------------------------ */

/* ------------------------------------ */
  mul_mZ(sA,sA_T,sAsA_T);
/* ------------------------------------ */  
/* ------------------------------------ */
  
for(i = R1; i <= csize_Z(U); i++)
  {      
  
    zmul_mZ(i_Z(M_Ualue[i][C1],M_Ualue[i][C2]),Ide,zIde);  
    MmnsD_mZ(sAsA_T,zIde,AmnszIde);
    
/* ------------------------------------ */     
    Ab = c_A_b_Ab_mZ(AmnszIde, b, i_Abr_Ac_bc_mZ(c,c,C1));
   
/* ------------------------------------ */       
    GJ_PP_FreeV_mZ(Ab,Ab_free,b_free); 
      
    c_c_mZ(b_free,C2,U,i); 
  }  
  
  Normalize_mZ(U);
                      
 return(U);
}
/* ------------------------------------ */
/* ------------------------------------ */
double **X_V_mZ(
double **A_T,
double **V,
double factor
)
{
int r = rsize_Z(A_T);
int c = csize_Z(A_T);
int i;
/* ------------------------------------ */
double **sA_T   =  smul_mZ(factor,A_T,i_mZ(r,c));
double **sA     = ctranspose_mZ(sA_T, i_mZ(c,r));
double **sA_TsA =                     i_mZ(r,r);
double **M_Value =                    i_mZ(r,C1);
/* ------------------------------------ */
double **Ide       =  eye_mZ(i_mZ(r,r));
double **zIde      =         i_mZ(r,r);
double **AmnszIde  =         i_mZ(r,r);
/* ------------------------------------ */
double **Ab ;
double **b  =           i_mZ(r,  C1 );
/* ------------------------------------ */
double **Ab_free = i_Abr_Ac_bc_mZ(r,r,C2);
double  **b_free = i_mZ(          r,  C2);


/* ------------------------------------ */
  mul_mZ(sA_T,sA,sA_TsA);
  eigs_mZ(sA_TsA,M_Value);

/* ------------------------------------ */  
for(i = R1; i <= csize_Z(V); i++)
  {        

    zmul_mZ(i_Z(M_Value[i][C1],M_Value[i][C2]),Ide,zIde);    
    MmnsD_mZ(sA_TsA,zIde,AmnszIde);

/* ------------------------------------ */     
    Ab = c_A_b_Ab_mZ(AmnszIde, b, i_Abr_Ac_bc_mZ(r,r,C1)); 
  
/* ------------------------------------ */    
    GJ_PP_FreeV_mZ(Ab,Ab_free,b_free);         
    
    c_c_mZ(b_free,C2,V,i); 
  }  
  
  Normalize_mZ(V);
                           
 return(V);
}
/* ------------------------------------ */
/* ------------------------------------ */
double **X_inv_mZ(
double **M_Value,
double **invM_Value
)
{
int  r;
int  c;
nb_Z a;

  for (   r=R1; r<M_Value[R_SIZE][C0]; r++)
    for ( c=C1; c<M_Value[C_SIZE][C0]; c+=C2)

        if(((r-R1)*C2)==c-C1)
          {
             a = inv_Z(i_Z( M_Value[r][c], M_Value[r][c+C1]));
           
               invM_Value[r][c   ] = a.r;
               invM_Value[r][c+C1] = a.i;
          }
              
 return(invM_Value);
}
/* ------------------------------------ */
/* ------------------------------------ */