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

.in +1c
.ti -1c
.RI "subroutine \fBclaqhe\fP (uplo, n, a, lda, s, scond, amax, equed)"
.br
.RI "\fBCLAQHE\fP scales a Hermitian matrix\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine claqhe (character uplo, integer n, complex, dimension( lda, * ) a, integer lda, real, dimension( * ) s, real scond, real amax, character equed)"

.PP
\fBCLAQHE\fP scales a Hermitian matrix\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 CLAQHE equilibrates a Hermitian 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
          Hermitian 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
\fIA\fP 
.PP
.nf
          A is COMPLEX array, dimension (LDA,N)
          On entry, the Hermitian matrix A\&.  If UPLO = 'U', the leading
          n by n upper triangular part of A contains the upper
          triangular part of the matrix A, and the strictly lower
          triangular part of A is not referenced\&.  If UPLO = 'L', the
          leading n by n lower triangular part of A contains the lower
          triangular part of the matrix A, and the strictly upper
          triangular part of A is not referenced\&.

          On exit, if EQUED = 'Y', the equilibrated matrix:
          diag(S) * A * diag(S)\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the array A\&.  LDA >= max(N,1)\&.
.fi
.PP
.br
\fIS\fP 
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.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          = 'Y':  Equilibration was done, i\&.e\&., A has been replaced by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 \fB133\fP of file \fBclaqhe\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.