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slaed9 (3)
  • >> slaed9 (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         slaed9 - find the roots of the secular equation, as  defined
         by the values in D, Z, and RHO, between KSTART and KSTOP
    
    SYNOPSIS
         SUBROUTINE SLAED9( K, KSTART, KSTOP,  N,  D,  Q,  LDQ,  RHO,
                   DLAMDA, W, S, LDS, INFO )
    
         INTEGER INFO, K, KSTART, KSTOP, LDQ, LDS, N
    
         REAL RHO
    
         REAL D( * ), DLAMDA( * ), Q( LDQ, * ), S( LDS, * ), W( * )
    
    
    
         #include <sunperf.h>
    
         void slaed9(int k, int kstart, int kstop, int n,  float  *d,
                   float  *q,  int  ldq,  float  srho, float *dlamda,
                   float *w, float *s, int lds, int *info) ;
    
    PURPOSE
         SLAED9 finds the roots of the secular equation,  as  defined
         by  the  values  in D, Z, and RHO, between KSTART and KSTOP.
         It makes the appropriate calls to SLAED4 and then stores the
         new  matrix  of eigenvectors for use in calculating the next
         level of Z vectors.
    
    
    ARGUMENTS
         K         (input) INTEGER
                   The number of terms in the rational function to be
                   solved by SLAED4.  K >= 0.
    
         KSTART    (input) INTEGER
                   KSTOP   (input) INTEGER  The  updated  eigenvalues
                   Lambda(I),  KSTART  <=  I  <= KSTOP are to be com-
                   puted.  1 <= KSTART <= KSTOP <= K.
    
         N         (input) INTEGER
                   The number of rows and columns in the Q matrix.  N
                   >= K (delation may result in N > K).
    
         D         (output) REAL array, dimension (N)
                   D(I) contains the updated eigenvalues  for  KSTART
                   <= I <= KSTOP.
    
         Q         (workspace) REAL array, dimension (LDQ,N)
    
         LDQ       (input) INTEGER
                   The leading dimension of the array Q.  LDQ >= max(
                   1, N ).
    
         RHO       (input) REAL
                   The value of the parameter in the rank one  update
                   equation.  RHO >= 0 required.
    
         DLAMDA    (input) REAL array, dimension (K)
                   The first K elements of this array contain the old
                   roots of the deflated updating problem.  These are
                   the poles of the secular equation.
    
         W         (input) REAL array, dimension (K)
                   The first K elements of  this  array  contain  the
                   components of the deflation-adjusted updating vec-
                   tor.
    
         S         (output) REAL array, dimension (LDS, K)
                   Will contain  the  eigenvectors  of  the  repaired
                   matrix  which will be stored for subsequent Z vec-
                   tor calculation and multiplied by  the  previously
                   accumulated eigenvectors to update the system.
    
         LDS       (input) INTEGER
                   The leading dimension of S.  LDS >= max( 1, K ).
    
         INFO      (output) INTEGER
                   = 0:  successful exit.
                   < 0:  if INFO = -i, the i-th argument had an ille-
                   gal value.
                   > 0:  if INFO = 1, an eigenvalue did not converge
    
    
    
    


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