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Dataplot Vol 2 Vol 1

MATRIX RENUMBER

Name:
    MATRIX RENUMBER (LET)
Type:
    Let Subcommand
Purpose:
    Reorder the rows and columns of a matrix.
Description:
    It is on occassion useful to reorder the rows and/or the columns of a matrix.
Syntax:
    LET <mout> = MATRIX RENUMBER <m> <rows> <cols>
                <SUBSET/EXCEPT/FOR qualification>
    where <m> is the original matrix;
    <rows> is a variable containing the desired row order;
    <cols> is a variable containing the desired column order;
    <mout> is the matrix after the rows and columns have been reordered;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional (and rarely used in this context).
Examples:
    LET MOUT = MATRIX RENUMBER M VROWS VCOLS
Default:
    None
Synonyms:
    None
Related Commands: Reference:
    Nijenhuis and Wilf (1978), "Combinatorial Algorithms", Second Edition, Academic Press, Chapter 17.
Applications:
    Combinatorial Analysis
Implementation Date:
    2008/05
Program:
     
    .  Following example from page 157 of Nijenhuis and Wilf
    DIMENSION 100 COLUMNS
    READ MATRIX M
    23 24 25 26 27 28 29 21 22
    33 34 35 36 37 38 39 31 32
    93 94 95 96 97 98 99 91 92
    63 64 65 66 67 68 69 61 62
    73 74 75 76 77 78 79 71 72
    83 84 85 86 87 88 89 81 82
    53 54 55 56 57 58 59 51 52
    43 44 45 46 47 48 49 41 42
    13 14 15 16 17 18 19 11 12
    END OF DATA
    .
    LET ROWIND = DATA 2 3 9 6 7 8 5 4 1
    LET COLIND = DATA 3 4 5 6 7 8 9 1 2
    .
    LET MOUT = MATRIX RENUMBER M ROWIND COLIND
    SET WRITE DECIMALS 0
    PRINT MOUT
        
    The following output is generated
     
             MATRIX MOUT    --            9 ROWS
                            --            9 COLUMNS
    
     VARIABLES--MOUT1       MOUT2       MOUT3       MOUT4       MOUT5       MOUT6       MOUT7       MOUT8       MOUT9   
    
             11          12          13          14          15          16          17          18          19
             21          22          23          24          25          26          27          28          29
             31          32          33          34          35          36          37          38          39
             41          42          43          44          45          46          47          48          49
             51          52          53          54          55          56          57          58          59
             61          62          63          64          65          66          67          68          69
             71          72          73          74          75          76          77          78          79
             81          82          83          84          85          86          87          88          89
             91          92          93          94          95          96          97          98          99
        

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Date created: 01/31/2015
Last updated: 01/31/2015

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