.TH "TESTING/MATGEN/slatm2.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/MATGEN/slatm2.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "real function \fBslatm2\fP (m, n, i, j, kl, ku, idist, iseed, d, igrade, dl, dr, ipvtng, iwork, sparse)"
.br
.RI "\fBSLATM2\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "real function slatm2 (integer m, integer n, integer i, integer j, integer kl, integer ku, integer idist, integer, dimension( 4 ) iseed, real, dimension( * ) d, integer igrade, real, dimension( * ) dl, real, dimension( * ) dr, integer ipvtng, integer, dimension( * ) iwork, real sparse)"

.PP
\fBSLATM2\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
    SLATM2 returns the (I,J) entry of a random matrix of dimension
    (M, N) described by the other parameters\&. It is called by the
    SLATMR routine in order to build random test matrices\&. No error
    checking on parameters is done, because this routine is called in
    a tight loop by SLATMR which has already checked the parameters\&.

    Use of SLATM2 differs from SLATM3 in the order in which the random
    number generator is called to fill in random matrix entries\&.
    With SLATM2, the generator is called to fill in the pivoted matrix
    columnwise\&. With SLATM3, the generator is called to fill in the
    matrix columnwise, after which it is pivoted\&. Thus, SLATM3 can
    be used to construct random matrices which differ only in their
    order of rows and/or columns\&. SLATM2 is used to construct band
    matrices while avoiding calling the random number generator for
    entries outside the band (and therefore generating random numbers

    The matrix whose (I,J) entry is returned is constructed as
    follows (this routine only computes one entry):

      If I is outside (1\&.\&.M) or J is outside (1\&.\&.N), return zero
         (this is convenient for generating matrices in band format)\&.

      Generate a matrix A with random entries of distribution IDIST\&.

      Set the diagonal to D\&.

      Grade the matrix, if desired, from the left (by DL) and/or
         from the right (by DR or DL) as specified by IGRADE\&.

      Permute, if desired, the rows and/or columns as specified by
         IPVTNG and IWORK\&.

      Band the matrix to have lower bandwidth KL and upper
         bandwidth KU\&.

      Set random entries to zero as specified by SPARSE\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIM\fP 
.PP
.nf
          M is INTEGER
           Number of rows of matrix\&. Not modified\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
           Number of columns of matrix\&. Not modified\&.
.fi
.PP
.br
\fII\fP 
.PP
.nf
          I is INTEGER
           Row of entry to be returned\&. Not modified\&.
.fi
.PP
.br
\fIJ\fP 
.PP
.nf
          J is INTEGER
           Column of entry to be returned\&. Not modified\&.
.fi
.PP
.br
\fIKL\fP 
.PP
.nf
          KL is INTEGER
           Lower bandwidth\&. Not modified\&.
.fi
.PP
.br
\fIKU\fP 
.PP
.nf
          KU is INTEGER
           Upper bandwidth\&. Not modified\&.
.fi
.PP
.br
\fIIDIST\fP 
.PP
.nf
          IDIST is INTEGER
           On entry, IDIST specifies the type of distribution to be
           used to generate a random matrix \&.
           1 => UNIFORM( 0, 1 )
           2 => UNIFORM( -1, 1 )
           3 => NORMAL( 0, 1 )
           Not modified\&.
.fi
.PP
.br
\fIISEED\fP 
.PP
.nf
          ISEED is INTEGER array of dimension ( 4 )
           Seed for random number generator\&.
           Changed on exit\&.
.fi
.PP
.br
\fID\fP 
.PP
.nf
          D is REAL array of dimension ( MIN( I , J ) )
           Diagonal entries of matrix\&. Not modified\&.
.fi
.PP
.br
\fIIGRADE\fP 
.PP
.nf
          IGRADE is INTEGER
           Specifies grading of matrix as follows:
           0  => no grading
           1  => matrix premultiplied by diag( DL )
           2  => matrix postmultiplied by diag( DR )
           3  => matrix premultiplied by diag( DL ) and
                         postmultiplied by diag( DR )
           4  => matrix premultiplied by diag( DL ) and
                         postmultiplied by inv( diag( DL ) )
           5  => matrix premultiplied by diag( DL ) and
                         postmultiplied by diag( DL )
           Not modified\&.
.fi
.PP
.br
\fIDL\fP 
.PP
.nf
          DL is REAL array ( I or J, as appropriate )
           Left scale factors for grading matrix\&.  Not modified\&.
.fi
.PP
.br
\fIDR\fP 
.PP
.nf
          DR is REAL array ( I or J, as appropriate )
           Right scale factors for grading matrix\&.  Not modified\&.
.fi
.PP
.br
\fIIPVTNG\fP 
.PP
.nf
          IPVTNG is INTEGER
           On entry specifies pivoting permutations as follows:
           0 => none\&.
           1 => row pivoting\&.
           2 => column pivoting\&.
           3 => full pivoting, i\&.e\&., on both sides\&.
           Not modified\&.
.fi
.PP
.br
\fIIWORK\fP 
.PP
.nf
          IWORK is INTEGER array ( I or J, as appropriate )
           This array specifies the permutation used\&. The
           row (or column) in position K was originally in
           position IWORK( K )\&.
           This differs from IWORK for SLATM3\&. Not modified\&.
.fi
.PP
.br
\fISPARSE\fP 
.PP
.nf
          SPARSE is REAL between 0\&. and 1\&.
           On entry specifies the sparsity of the matrix
           if sparse matrix is to be generated\&.
           SPARSE should lie between 0 and 1\&.
           A uniform ( 0, 1 ) random number x is generated and
           compared to SPARSE; if x is larger the matrix entry
           is unchanged and if x is smaller the entry is set
           to zero\&. Thus on the average a fraction SPARSE of the
           entries will be set to zero\&.
           Not modified\&.
.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 \fB206\fP of file \fBslatm2\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.