|GNU Octave Manual Version 3|
by John W. Eaton, David Bateman, Søren Hauberg
Paperback (6"x9"), 568 pages
RRP £24.95 ($39.95)
4.1.1 Empty Matrices
A matrix may have one or both dimensions zero, and operations on empty
matrices are handled as described by Carl de Boor in An Empty
Exercise, SIGNUM, Volume 25, pages 2--6, 1990 and C. N. Nett and W. M.
Haddad, in A System-Theoretic Appropriate Realization of the Empty
Matrix Concept, IEEE Transactions on Automatic Control, Volume 38,
Number 5, May 1993.
Briefly, given a scalar s, an m by
M(mxn), and an m by n empty matrix
(mxn) (with either one or both dimensions equal to zero), the
following are true:
s * (mxn) = (mxn) * s = (mxn)
(mxn) + (mxn) = (mxn)
(0xm) * M(mxn) = (0xn)
M(mxn) * (nx0) = (mx0)
(mx0) * (0xn) = 0(mxn)
By default, dimensions of the empty matrix are printed along with the
empty matrix symbol, ‘’. The built-in variable
print_empty_dimensions controls this behavior.
- Built-in Function: val = print_empty_dimensions ()
- Built-in Function: old_val = print_empty_dimensions (new_val)
- Query or set the internal variable that controls whether the
dimensions of empty matrices are printed along with the empty matrix
symbol, ‘’. For example, the expression
zeros (3, 0)
ans = (3x0)
Empty matrices may also be used in assignment statements as a convenient way to delete rows or columns of matrices. See section 8.6 Assignment Expressions.
When Octave parses a matrix expression, it examines the elements of the list to determine whether they are all constants. If they are, it replaces the list with a single matrix constant.
|ISBN 095461206X||GNU Octave Manual Version 3||See the print edition|