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Implement sparse * diagonal and diagonal * sparse operations, double-prec only. Date: Sun, 8 Mar 2009 16:28:18 -0400 These preserve sparsity, so eye(5) * sprand (5, 5, .2) is *sparse* and not dense. This may affect people who use multiplication by eye() rather than full(). The liboctave routines do *not* check if arguments are scalars in disguise. There is a type problem with checking at that level. I suspect we want diag * "sparse scalar" to stay diagonal, but we have to return a sparse matrix at the liboctave. Rather than worrying about that in liboctave, we cope with it when binding to Octave and return the correct higher-level type. The implementation is in Sparse-diag-op-defs.h rather than Sparse-op-defs.h to limit recompilation. And the implementations are templates rather than macros to produce better compiler errors and debugging information.
author Jason Riedy <jason@acm.org>
date Mon, 09 Mar 2009 17:49:13 -0400
parents a1dbe9d80eee
children 3140cb7a05a1
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## Copyright (C) 1999, 2006, 2007 Peter Ekberg
##
## 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 3 of the License, 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, see
## <http://www.gnu.org/licenses/>.

## -*- texinfo -*-
## @deftypefn {Function File} {} wilkinson (@var{n})
##
## Return the Wilkinson matrix of order @var{n}.
##
## @seealso{hankel, vander, sylvester_matrix, hilb, invhilb, toeplitz
##           hadamard, rosser, compan, pascal}
## @end deftypefn

## Author: Peter Ekberg
##         (peda)

function retval = wilkinson (n)

  if (nargin != 1)
    print_usage ();
  endif

  nmax = length (n);
  if (! (nmax == 1))
    error ("wilkinson: expecting scalar argument, found something else");
  endif

  side = ones (n-1, 1);
  center = abs (-(n-1)/2:(n-1)/2);
  retval = diag (side, -1) + diag (center) + diag (side, 1);

endfunction