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comparison scripts/special-matrix/pascal.m @ 12639:4d777e05d47c stable

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doc: Review and update documentation for "Matrix Manipulation" chapter. * matrix.txi, arrayfun.m, blkdiag.m, fliplr.m, flipud.m, logspace.m, postpad.m, prepad.m, randi.m, repmat.m, rot90.m, rotdim.m, shiftdim.m, sortrows.m, vech.m, xor.m, hadamard.m, hankel.m, hilb.m, invhilb.m, magic.m, pascal.m, rosser.m, sylvester_matrix.m, toeplitz.m, vander.m, wilkinson.m, bsxfun.cc, find.cc, lookup.cc, rand.cc, tril.cc, data.cc, arrayfun.m, blkdiag.m, fliplr.m, flipud.m, logspace.m, postpad.m, prepad.m, randi.m, repmat.m, rot90.m, rotdim.m, shiftdim.m, sortrows.m, vech.m, xor.m, hadamard.m, hankel.m, hilb.m, invhilb.m, magic.m, pascal.m, rosser.m, sylvester_matrix.m, toeplitz.m, vander.m, wilkinson.m, bsxfun.cc (bsxfun), find.cc (find), lookup.cc (lookup), rand.cc (rand, randn, rande, randg, randp), tril.cc (triu), data.cc (all, any, horzcat, vertcat, cat, permute, ipermute, ones, zeros, eye, linspace, resize, reshape, issorted, diff): Improve docstrings
author Rik <octave@nomad.inbox5.com>
date Sun, 01 May 2011 08:55:15 -0700
parents f5a5e5252b5a
children d4404589498c
comparison
equal deleted inserted replaced
12637:d02798e9eeae 12639:4d777e05d47c
18 ## <http://www.gnu.org/licenses/>. 18 ## <http://www.gnu.org/licenses/>.
19 19
20 ## -*- texinfo -*- 20 ## -*- texinfo -*-
21 ## @deftypefn {Function File} {} pascal (@var{n}) 21 ## @deftypefn {Function File} {} pascal (@var{n})
22 ## @deftypefnx {Function File} {} pascal (@var{n}, @var{t}) 22 ## @deftypefnx {Function File} {} pascal (@var{n}, @var{t})
23 ## Return the Pascal matrix of order @var{n} if @code{@var{t} = 0}. 23 ## Return the Pascal matrix of order @var{n} if @code{@var{t} = 0}. @var{t}
24 ## @var{t} defaults to 0. Return the pseudo-lower triangular 24 ## defaults to 0. Return the pseudo-lower triangular Cholesky@tie{}factor of
25 ## Cholesky@tie{}factor of the Pascal matrix if @code{@var{t} = 1} (The sign 25 ## the Pascal matrix if @code{@var{t} = 1} (The sign of some columns may be
26 ## of some columns may be negative). This matrix is its own 26 ## negative). This matrix is its own inverse, that is @code{pascal (@var{n},
27 ## inverse, that is @code{pascal (@var{n}, 1) ^ 2 == eye (@var{n})}. 27 ## 1) ^ 2 == eye (@var{n})}. If @code{@var{t} = -1}, return the true
28 ## If @code{@var{t} = -1}, return the true Cholesky@tie{}factor with strictly 28 ## Cholesky@tie{}factor with strictly positive values on the diagonal. If
29 ## positive values on the diagonal. 29 ## @code{@var{t} = 2}, return a transposed and permuted version of @code{pascal
30 ## If @code{@var{t} = 2}, return a transposed and permuted version of 30 ## (@var{n}, 1)}, which is the cube root of the identity matrix. That is,
31 ## @code{pascal (@var{n}, 1)}, which is the cube root of the identity 31 ## @code{pascal (@var{n}, 2) ^ 3 == eye (@var{n})}.
32 ## matrix. That is, @code{pascal (@var{n}, 2) ^ 3 == eye (@var{n})}.
33 ## 32 ##
34 ## @seealso{hankel, vander, sylvester_matrix, hilb, invhilb, toeplitz, 33 ## @seealso{chol}
35 ## hadamard, wilkinson, compan, rosser}
36 ## @end deftypefn 34 ## @end deftypefn
37 35
38 ## Author: Peter Ekberg 36 ## Author: Peter Ekberg
39 ## (peda) 37 ## (peda)
40 38