.TH "SRC/claqhb.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
SRC/claqhb.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBclaqhb\fP (uplo, n, kd, ab, ldab, s, scond, amax, equed)"
.br
.RI "\fBCLAQHB\fP scales a Hermitian band matrix, using scaling factors computed by cpbequ\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine claqhb (character uplo, integer n, integer kd, complex, dimension( ldab, * ) ab, integer ldab, real, dimension( * ) s, real scond, real amax, character equed)"

.PP
\fBCLAQHB\fP scales a Hermitian band matrix, using scaling factors computed by cpbequ\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 CLAQHB equilibrates an Hermitian band matrix A using the scaling
 factors in the vector S\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
          UPLO is CHARACTER*1
          Specifies whether the upper or lower triangular part of the
          symmetric matrix A is stored\&.
          = 'U':  Upper triangular
          = 'L':  Lower triangular
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          The order of the matrix A\&.  N >= 0\&.
.fi
.PP
.br
\fIKD\fP 
.PP
.nf
          KD is INTEGER
          The number of super-diagonals of the matrix A if UPLO = 'U',
          or the number of sub-diagonals if UPLO = 'L'\&.  KD >= 0\&.
.fi
.PP
.br
\fIAB\fP 
.PP
.nf
          AB is COMPLEX array, dimension (LDAB,N)
          On entry, the upper or lower triangle of the symmetric 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**H *U or A = L*L**H of the band
          matrix A, in the same storage format as A\&.
.fi
.PP
.br
\fILDAB\fP 
.PP
.nf
          LDAB is INTEGER
          The leading dimension of the array AB\&.  LDAB >= KD+1\&.
.fi
.PP
.br
\fIS\fP 
.PP
.nf
          S is REAL array, dimension (N)
          The scale factors for A\&.
.fi
.PP
.br
\fISCOND\fP 
.PP
.nf
          SCOND is REAL
          Ratio of the smallest S(i) to the largest S(i)\&.
.fi
.PP
.br
\fIAMAX\fP 
.PP
.nf
          AMAX is REAL
          Absolute value of largest matrix entry\&.
.fi
.PP
.br
\fIEQUED\fP 
.PP
.nf
          EQUED is 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)\&.
.fi
.PP
 
.RE
.PP
\fBInternal Parameters:\fP
.RS 4

.PP
.nf
  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 scaling should
  be done based on the absolute size of the largest matrix element\&.
  If AMAX > LARGE or AMAX < SMALL, scaling is done\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

.PP
Definition at line \fB140\fP of file \fBclaqhb\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.