Mercurial > hg > octave-nkf
diff scripts/special-matrix/hankel.m @ 4:b4df021f796c
[project @ 1993-08-08 01:26:08 by jwe]
Initial revision
author | jwe |
---|---|
date | Sun, 08 Aug 1993 01:26:08 +0000 |
parents | |
children | 16a24e76d6e0 |
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new file mode 100644 --- /dev/null +++ b/scripts/special-matrix/hankel.m @@ -0,0 +1,59 @@ +function retval = hankel (c, r) + +# usage: hankel (c, r) +# +# Return the Hankel matrix constructed given the first column +# c, and (optionally) the last row r. +# +# If the second argument is omitted, the last row is taken to be the +# same as the first column. If the last element of c is not the same +# as the first element of r, the last element of c is used. +# +# See also: vander, hadamard, hilb, invhilb, toeplitz + + if (nargin == 1) + r = c; + elseif (nargin != 2) + error ("usage: hankel (c, r)"); + endif + + [c_nr, c_nc] = size (c); + [r_nr, r_nc] = size (r); + + if ((c_nr != 1 && c_nc != 1) || (r_nr != 1 && r_nc != 1)) + error ("hankel: expecting vector arguments") + endif + + if (c_nc != 1) + c = c'; + endif + + if (r_nr != 1) + r = r'; + endif + + if (r (1) != c (1)) + disp ("Column wins anti-diagonal conflict"); + endif + +# This should probably be done with the colon operator... + + nc = length (r); + nr = length (c); + + retval = zeros (nr, nc); + + for i = 1:min (nr, nc) + retval (1:nr-i+1, i) = c (i:nr); + endfor + + tmp = 1; + if (nc <= nr) + tmp = nr - nc + 2; + endif + + for i = nr:-1:tmp + retval (i, 2+nr-i:nc) = r (2:nc-nr+i); + endfor + +endfunction