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diff scripts/special-matrix/invhilb.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 4197fc428c7d
children
line wrap: on
line diff
--- a/scripts/special-matrix/invhilb.m	Sun May 03 15:36:23 2015 -0700
+++ b/scripts/special-matrix/invhilb.m	Sun May 03 17:00:11 2015 -0700
@@ -18,8 +18,9 @@
 
 ## -*- texinfo -*-
 ## @deftypefn {Function File} {} invhilb (@var{n})
-## Return the inverse of the Hilbert matrix of order @var{n}.  This can be
-## computed exactly using
+## Return the inverse of the Hilbert matrix of order @var{n}.
+##
+## This can be computed exactly using
 ## @tex
 ## $$\eqalign{
 ##   A_{ij} &= -1^{i+j} (i+j-1)
@@ -60,10 +61,10 @@
 ## @end example
 ##
 ## @end ifnottex
-## The validity of this formula can easily be checked by expanding
-## the binomial coefficients in both formulas as factorials.  It can
-## be derived more directly via the theory of Cauchy matrices.
-## See @nospell{J. W. Demmel}, @cite{Applied Numerical Linear Algebra}, p. 92.
+## The validity of this formula can easily be checked by expanding the binomial
+## coefficients in both formulas as factorials.  It can be derived more
+## directly via the theory of Cauchy matrices.  See @nospell{J. W. Demmel},
+## @cite{Applied Numerical Linear Algebra}, p. 92.
 ##
 ## Compare this with the numerical calculation of @code{inverse (hilb (n))},
 ## which suffers from the ill-conditioning of the Hilbert matrix, and the