1znu(1)                           User Commands                          znu(1)
2
3
4

NAME

6       znu - compute a matrix null-space
7

SYNOPSIS

9       znu [OPTIONS] <Matrix> [<NullSpace>]
10

DESCRIPTION

12       This  program  reads in a matrix and outputs a basis for its null-space
13       in echelon form.  If the Nullspace argument is omitted  the  null-space
14       is not written out, but its dimension is still printed.
15
16       Notice that the input matrix does not need to be square.
17

OPTIONS

19       -Q     Quiet, no messages.
20
21       -V     Verbose, more messages.
22
23       -T <MaxTime>
24              Set CPU time limit
25
26       -G, --gap
27              Produce output in GAP format.
28
29       -n, --no-echelon
30              Do not convert the null-space to echelon form.
31

IMPLEMENTATION DETAILS

33       After reading the matrix, the program generates the n×n identity matrix
34       in memory where n is the number of rows.  It then proceeds  to  perform
35       row operations on the matrix until it is in echelon form.  The same row
36       operations are performed on the identity matrix, and whenever a row  in
37       the  original  matrix  becomes zero, the corresponding row of the other
38       matrix is marked for output.  The null-space is always reduced to eche‐
39       lon form.
40
41
42
43MeatAxe                             2.4.24                              znu(1)