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comparison scripts/special-matrix/pascal.m @ 20162:2645f9ef8c88 stable

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doc: Update more docstrings to have one sentence summary as first line. Reviewed specfun, special-matrix, testfun, and time script directories. * scripts/specfun/expint.m, scripts/specfun/isprime.m, scripts/specfun/legendre.m, scripts/specfun/primes.m, scripts/specfun/reallog.m, scripts/specfun/realsqrt.m, scripts/special-matrix/gallery.m, scripts/special-matrix/hadamard.m, scripts/special-matrix/hankel.m, scripts/special-matrix/hilb.m, scripts/special-matrix/invhilb.m, scripts/special-matrix/magic.m, scripts/special-matrix/pascal.m, scripts/special-matrix/rosser.m, scripts/special-matrix/toeplitz.m, scripts/special-matrix/vander.m, scripts/special-matrix/wilkinson.m, scripts/testfun/assert.m, scripts/testfun/demo.m, scripts/testfun/example.m, scripts/testfun/fail.m, scripts/testfun/rundemos.m, scripts/testfun/runtests.m, scripts/testfun/speed.m, scripts/time/asctime.m, scripts/time/calendar.m, scripts/time/clock.m, scripts/time/ctime.m, scripts/time/datenum.m, scripts/time/datestr.m, scripts/time/datevec.m, scripts/time/etime.m, scripts/time/is_leap_year.m, scripts/time/now.m, scripts/time/weekday.m: Update more docstrings to have one sentence summary as first line.
author Rik <rik@octave.org>
date Sun, 03 May 2015 17:00:11 -0700
parents 9fc020886ae9
children
comparison
equal deleted inserted replaced
20160:03b9d17a2d95 20162:2645f9ef8c88
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}. @var{t} 23 ## Return the Pascal matrix of order @var{n} if @code{@var{t} = 0}.
24 ## defaults to 0. Return the pseudo-lower triangular Cholesky@tie{}factor of 24 ##
25 ## the Pascal matrix if @code{@var{t} = 1} (The sign of some columns may be 25 ## The default value of @var{t} is 0.
26 ## negative). This matrix is its own inverse, that is @code{pascal (@var{n}, 26 ##
27 ## 1) ^ 2 == eye (@var{n})}. If @code{@var{t} = -1}, return the true 27 ## When @code{@var{t} = 1}, return the pseudo-lower triangular
28 ## Cholesky@tie{}factor with strictly positive values on the diagonal. If 28 ## Cholesky@tie{}factor of the Pascal matrix (The sign of some columns may be
29 ## @code{@var{t} = 2}, return a transposed and permuted version of @code{pascal 29 ## negative). This matrix is its own inverse, that is
30 ## (@var{n}, 1)}, which is the cube root of the identity matrix. That is, 30 ## @code{pascal (@var{n}, 1) ^ 2 == eye (@var{n})}.
31 ## @code{pascal (@var{n}, 2) ^ 3 == eye (@var{n})}. 31 ##
32 ## If @code{@var{t} = -1}, return the true Cholesky@tie{}factor with strictly
33 ## positive values on the diagonal.
34 ##
35 ## If @code{@var{t} = 2}, return a transposed and permuted version of
36 ## @code{pascal (@var{n}, 1)}, which is the cube root of the identity matrix.
37 ## That is, @code{pascal (@var{n}, 2) ^ 3 == eye (@var{n})}.
32 ## 38 ##
33 ## @seealso{chol} 39 ## @seealso{chol}
34 ## @end deftypefn 40 ## @end deftypefn
35 41
36 ## Author: Peter Ekberg 42 ## Author: Peter Ekberg