/usr/share/octave/packages/linear-algebra-2.2.0/@kronprod/not_done/svd.m is in octave-linear-algebra 2.2.0-1build1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 | ## Copyright (C) 2010 Soren Hauberg
##
## This program 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 3, or (at your option)
## any later version.
##
## This program 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 this file. If not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} svd (@var{KP})
## XXX: Write documentation
## @end deftypefn
function [U, S, V] = svd (KP)
if (nargin < 1)
print_usage ();
endif
if (!isa (KP, "kronprod"))
error ("svd: input must be of class 'kronprod'");
endif
## XXX: I don't think this works properly for non-square A and B
if (nargout <= 1)
## Only singular values were requested
S_A = svd (KP.A);
S_B = svd (KP.B);
U = sort (kron (S_A, S_B), "descend");
elseif (nargout == 3)
## The full SVD was requested
[U_A, S_A, V_A] = svd (KP.A);
[U_B, S_B, V_B] = svd (KP.B);
## Compute and sort singular values
[sv, idx] = sort (kron (diag (S_A), diag (S_B)), "descend");
## Form matrices
S = resize (diag (sv), [rows(KP), columns(KP)]);
#Pu = eye (rows (KP)) (idx, :);
U = kronprod (U_A, U_B, idx);
#Pv = eye (columns (KP)) (idx, :);
V = kronprod (V_A, V_B, idx);
else
print_usage ();
endif
endfunction
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