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

.in +1c
.ti -1c
.RI "subroutine \fBclaqgb\fP (m, n, kl, ku, ab, ldab, r, c, rowcnd, colcnd, amax, equed)"
.br
.RI "\fBCLAQGB\fP scales a general band matrix, using row and column scaling factors computed by sgbequ\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine claqgb (integer m, integer n, integer kl, integer ku, complex, dimension( ldab, * ) ab, integer ldab, real, dimension( * ) r, real, dimension( * ) c, real rowcnd, real colcnd, real amax, character equed)"

.PP
\fBCLAQGB\fP scales a general band matrix, using row and column scaling factors computed by sgbequ\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 CLAQGB equilibrates a general M by N band matrix A with KL
 subdiagonals and KU superdiagonals using the row and 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
\fIKL\fP 
.PP
.nf
          KL is INTEGER
          The number of subdiagonals within the band of A\&.  KL >= 0\&.
.fi
.PP
.br
\fIKU\fP 
.PP
.nf
          KU is INTEGER
          The number of superdiagonals within the band of A\&.  KU >= 0\&.
.fi
.PP
.br
\fIAB\fP 
.PP
.nf
          AB is COMPLEX array, dimension (LDAB,N)
          On entry, the matrix A in band storage, in rows 1 to KL+KU+1\&.
          The j-th column of A is stored in the j-th column of the
          array AB as follows:
          AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(m,j+kl)

          On exit, the equilibrated matrix, in the same storage format
          as A\&.  See EQUED for the form of the equilibrated matrix\&.
.fi
.PP
.br
\fILDAB\fP 
.PP
.nf
          LDAB is INTEGER
          The leading dimension of the array AB\&.  LDA >= KL+KU+1\&.
.fi
.PP
.br
\fIR\fP 
.PP
.nf
          R is REAL array, dimension (M)
          The row scale factors for A\&.
.fi
.PP
.br
\fIC\fP 
.PP
.nf
          C is REAL array, dimension (N)
          The column scale factors for A\&.
.fi
.PP
.br
\fIROWCND\fP 
.PP
.nf
          ROWCND is REAL
          Ratio of the smallest R(i) to the largest R(i)\&.
.fi
.PP
.br
\fICOLCND\fP 
.PP
.nf
          COLCND is REAL
          Ratio of the smallest C(i) to the largest C(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 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 \fB158\fP of file \fBclaqgb\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.