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

.in +1c
.ti -1c
.RI "subroutine \fBzlaqhb\fP (uplo, n, kd, ab, ldab, s, scond, amax, equed)"
.br
.RI "\fBZLAQHB\fP scales a Hermitian band matrix, using scaling factors computed by cpbequ\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zlaqhb (character uplo, integer n, integer kd, complex*16, dimension( ldab, * ) ab, integer ldab, double precision, dimension( * ) s, double precision scond, double precision amax, character equed)"

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

.PP
.nf
!>
!> ZLAQHB equilibrates a 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*16 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 DOUBLE PRECISION array, dimension (N)
!>          The scale factors for A\&.
!> 
.fi
.PP
.br
\fISCOND\fP 
.PP
.nf
!>          SCOND is DOUBLE PRECISION
!>          Ratio of the smallest S(i) to the largest S(i)\&.
!> 
.fi
.PP
.br
\fIAMAX\fP 
.PP
.nf
!>          AMAX is DOUBLE PRECISION
!>          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 \fBzlaqhb\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.