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

.in +1c
.ti -1c
.RI "subroutine \fBzlaqge\fP (m, n, a, lda, r, c, rowcnd, colcnd, amax, equed)"
.br
.RI "\fBZLAQGE\fP scales a general rectangular matrix, using row and column scaling factors computed by sgeequ\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zlaqge (integer m, integer n, complex*16, dimension( lda, * ) a, integer lda, double precision, dimension( * ) r, double precision, dimension( * ) c, double precision rowcnd, double precision colcnd, double precision amax, character equed)"

.PP
\fBZLAQGE\fP scales a general rectangular matrix, using row and column scaling factors computed by sgeequ\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 ZLAQGE equilibrates a general M by N matrix A using the row and
 column scaling factors in the vectors R and C\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIM\fP 
.PP
.nf
          M is INTEGER
          The number of rows of the matrix A\&.  M >= 0\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          The number of columns of the matrix A\&.  N >= 0\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is COMPLEX*16 array, dimension (LDA,N)
          On entry, the M by N matrix A\&.
          On exit, the equilibrated matrix\&.  See EQUED for the form of
          the equilibrated matrix\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the array A\&.  LDA >= max(M,1)\&.
.fi
.PP
.br
\fIR\fP 
.PP
.nf
          R is DOUBLE PRECISION array, dimension (M)
          The row scale factors for A\&.
.fi
.PP
.br
\fIC\fP 
.PP
.nf
          C is DOUBLE PRECISION array, dimension (N)
          The column scale factors for A\&.
.fi
.PP
.br
\fIROWCND\fP 
.PP
.nf
          ROWCND is DOUBLE PRECISION
          Ratio of the smallest R(i) to the largest R(i)\&.
.fi
.PP
.br
\fICOLCND\fP 
.PP
.nf
          COLCND is DOUBLE PRECISION
          Ratio of the smallest C(i) to the largest C(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 the form of equilibration that was done\&.
          = 'N':  No equilibration
          = 'R':  Row equilibration, i\&.e\&., A has been premultiplied by
                  diag(R)\&.
          = 'C':  Column equilibration, i\&.e\&., A has been postmultiplied
                  by diag(C)\&.
          = 'B':  Both row and column equilibration, i\&.e\&., A has been
                  replaced by diag(R) * A * diag(C)\&.
.fi
.PP
 
.RE
.PP
\fBInternal Parameters:\fP
.RS 4

.PP
.nf
  THRESH is a threshold value used to decide if row or column scaling
  should be done based on the ratio of the row or column scaling
  factors\&.  If ROWCND < THRESH, row scaling is done, and if
  COLCND < THRESH, column scaling is done\&.

  LARGE and SMALL are threshold values used to decide if row scaling
  should be done based on the absolute size of the largest matrix
  element\&.  If AMAX > LARGE or AMAX < SMALL, row 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 \fB141\fP of file \fBzlaqge\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.