view scripts/linear-algebra/kron.m @ 3426:f8dde1807dee

[project @ 2000-01-13 08:40:00 by jwe]
author jwe
date Thu, 13 Jan 2000 08:40:53 +0000
parents f16c2ce14886
children
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## Copyright (C) 1996, 1997 John W. Eaton
##
## This file is part of Octave.
##
## Octave is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 2, or (at your option)
## any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING.  If not, write to the Free
## Software Foundation, 59 Temple Place - Suite 330, Boston, MA
## 02111-1307, USA.

## -*- texinfo -*-
## @deftypefn {Function File} {} kron (@var{a}, @var{b})
## Form the kronecker product of two matrices, defined block by block as
##
## @example
## x = [a(i, j) b]
## @end example
##
## For example,
##
## @example
## @group
## kron (1:4, ones (3, 1))
##      @result{}  1  2  3  4
##          1  2  3  4
##          1  2  3  4
## @end group
## @end example
## @end deftypefn

## Author: A. S. Hodel <scotte@eng.auburn.edu>
## Created: August 1993
## Adapted-By: jwe

function x = kron (a, b)

  if (nargin == 2)

    [m, n] = size (b);
    [ma, na] = size (a);

    x = zeros (ma*m, na*n);
    i_vec = 1:m;
    j_vec = 1:n;

    for jj = 1:na
      for ii = 1:ma
        x(i_vec+(ii-1)*m,j_vec) = a(ii,jj) * b;
      endfor
      j_vec = j_vec + n;
    endfor

  else
    usage ("kron (a, b)");
  endif

endfunction