UD01MD - SLICOT Library Routine Documentation

## UD01MD

### Printing a real matrix

[Specification] [Arguments] [Method] [References] [Comments] [Example]

Purpose

      To print an M-by-N real matrix A row by row. The elements of A
      are output to 7 significant figures.

Specification

          SUBROUTINE UD01MD( M, N, L, NOUT, A, LDA, TEXT, INFO )
    C     .. Scalar Arguments ..
          INTEGER           INFO, L, LDA, M, N, NOUT
          CHARACTER*(*)     TEXT
    C     .. Array Arguments ..
          DOUBLE PRECISION  A(LDA,*)

Arguments

Input/Output Parameters

      M       (input) INTEGER
              The number of rows of matrix A to be printed.  M >= 1.

      N       (input) INTEGER
              The number of columns of matrix A to be printed.  N >= 1.

      L       (input) INTEGER
              The number of elements of matrix A to be printed per line.
              1 <= L <= 5.

      NOUT    (input) INTEGER
              The output channel to which the results are sent.
              NOUT >= 0.

      A       (input) DOUBLE PRECISION array, dimension (LDA,N)
              The leading M-by-N part of this array must contain the
              matrix to be printed.

      LDA     INTEGER
              The leading dimension of array A.  LDA >= M.

      TEXT    (input) CHARACTER*72.
              Title caption of the matrix to be printed (up to a
              maximum of 72 characters). For example, TEXT = 'Matrix A'.

Error Indicator

      INFO    INTEGER
              = 0:  successful exit;
              < 0:  if INFO = -i, the i-th argument had an illegal
                    value.

Method

      The routine first prints the contents of TEXT as a title, followed
      by the elements of the matrix A such that

      (i)  if N <= L, the leading M-by-N part is printed;
      (ii) if N = k*L + p (where k,p > 0), then k M-by-L blocks of
           consecutive columns of A are printed one after another
           followed by one M-by-p block containing the last p columns
           of A.

      Row numbers are printed on the left of each row and a column
      number appears on top of each column.
      The routine uses 2 + (k + 1)*(m + 1) lines and 8 + 15*c positions
      per line where c is the actual number of columns, (i.e. c = L
      or c = p).

References

      None.

Numerical Aspects

      None.

Further Comments

      None

Example

Program Text

    *     UD01MD EXAMPLE PROGRAM TEXT
    *
    *     .. Parameters ..
          INTEGER          NIN, NOUT
          PARAMETER        ( NIN = 5, NOUT = 6 )
          INTEGER          MMAX, NMAX
          PARAMETER        ( MMAX = 20, NMAX = 20 )
          INTEGER          LDA
          PARAMETER        ( LDA = MMAX )
    *     .. Local Scalars ..
          INTEGER          I, INFO, J, L, M, N
          CHARACTER*72     TEXT
    *     .. Local Arrays ..
          DOUBLE PRECISION A(LDA,NMAX)
    *     .. External Subroutines ..
          EXTERNAL         UD01MD
    *     .. Executable Statements ..
    *
          WRITE ( NOUT, FMT = 99999 )
    *     Skip the heading in the data file and read the data.
          READ ( NIN, FMT = '()' )
          READ ( NIN, FMT = * ) M, N, L, TEXT
          IF ( M.LE.0 .OR. M.GT.MMAX ) THEN
             WRITE ( NOUT, FMT = 99996 ) M
          ELSE IF ( N.LE.0 .OR. N.GT.NMAX ) THEN
             WRITE ( NOUT, FMT = 99997 ) N
          ELSE
             READ ( NIN, FMT = * ) ( ( A(I,J), J = 1,N ), I = 1,M )
    *        Print out the matrix A.
             CALL UD01MD( M, N, L, NOUT, A, LDA, TEXT, INFO )
             IF ( INFO.NE.0 ) WRITE ( NOUT, FMT = 99998 ) INFO
          END IF
          STOP
    *
    99999 FORMAT (' UD01MD EXAMPLE PROGRAM RESULTS',/1X)
    99998 FORMAT (' INFO on exit from UD01MD = ',I2)
    99997 FORMAT (/' N is out of range.',/' N = ',I5)
    99996 FORMAT (/' M is out of range.',/' M = ',I5)
          END

Program Data

     UD01MD EXAMPLE PROGRAM DATA
       4     4     4     'Matrix A'
       1.0   2.0   3.0   4.0
       5.0   6.0   7.0   8.0
       9.0  10.0  11.0  12.0
      13.0  14.0  15.0  16.0

Program Results

     UD01MD EXAMPLE PROGRAM RESULTS

     Matrix A ( 4X 4)

                1              2              3              4
      1    0.1000000D+01  0.2000000D+01  0.3000000D+01  0.4000000D+01
      2    0.5000000D+01  0.6000000D+01  0.7000000D+01  0.8000000D+01
      3    0.9000000D+01  0.1000000D+02  0.1100000D+02  0.1200000D+02
      4    0.1300000D+02  0.1400000D+02  0.1500000D+02  0.1600000D+02

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