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claqsb (3)
  • >> claqsb (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         claqsb - equilibrate a symmetric band  matrix  A  using  the
         scaling factors in the vector S
    
    SYNOPSIS
         SUBROUTINE CLAQSB( UPLO, N, KD, AB, LDAB,  S,  SCOND,  AMAX,
                   EQUED )
    
         CHARACTER EQUED, UPLO
    
         INTEGER KD, LDAB, N
    
         REAL AMAX, SCOND
    
         REAL S( * )
    
         COMPLEX AB( LDAB, * )
    
    
    
         #include <sunperf.h>
    
         void claqsb(char uplo, int n,  int  kd,  complex  *cab,  int
                   ldab,  float  *s,  float  scond,  float amax, char
                   *equed) ;
    
    PURPOSE
         CLAQSB equilibrates a symmetric  band  matrix  A  using  the
         scaling factors in the vector S.
    
    
    ARGUMENTS
         UPLO      (input) CHARACTER*1
                   Specifies whether the upper  or  lower  triangular
                   part  of the symmetric matrix A is stored.  = 'U':
                   Upper triangular
                   = 'L':  Lower triangular
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.
    
         KD        (input) INTEGER
                   The number of super-diagonals of the matrix  A  if
                   UPLO = 'U', or the number of sub-diagonals if UPLO
                   = 'L'.  KD >= 0.
    
         AB        (input/output) COMPLEX array, dimension (LDAB,N)
                   On entry, the upper or lower triangle of the  sym-
                   metric  band  matrix  A,  stored in the first KD+1
                   rows of the array.  The j-th column of A is stored
                   in the j-th column of the array AB as follows:  if
                   UPLO = 'U', AB(kd+1+i-j,j) = A(i,j)  for  max(1,j-
                   kd)<=i<=j;  if UPLO = 'L', AB(1+i-j,j)    = A(i,j)
                   for j<=i<=min(n,j+kd).
    
                   On exit, if INFO = 0, the triangular factor U or L
                   from  the  Cholesky  factorization A = U'*U or A =
                   L*L' of the band matrix A,  in  the  same  storage
                   format as A.
    
         LDAB      (input) INTEGER
                   The leading dimension of the array  AB.   LDAB  >=
                   KD+1.
    
         S         (output) REAL array, dimension (N)
                   The scale factors for A.
    
         SCOND     (input) REAL
                   Ratio of the smallest S(i) to the largest S(i).
    
         AMAX      (input) REAL
                   Absolute value of largest matrix entry.
    
         EQUED     (output) CHARACTER*1
                   Specifies whether or not equilibration  was  done.
                   = 'N':  No equilibration.
                   = 'Y':  Equilibration was done, i.e., A  has  been
                   replaced by diag(S) * A * diag(S).
    
    PARAMETERS
         THRESH is a threshold value used to decide if scaling should
         be done based on the ratio of the scaling factors.  If SCOND
         < THRESH, scaling is done.
    
         LARGE and SMALL are threshold values used to decide if scal-
         ing should be done based on the absolute size of the largest
         matrix element.  If AMAX > LARGE or AMAX < SMALL, scaling is
         done.
    
    
    
    


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