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comparison scripts/linear-algebra/rank.m @ 3426:f8dde1807dee

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[project @ 2000-01-13 08:40:00 by jwe]
author jwe
date Thu, 13 Jan 2000 08:40:53 +0000
parents f16c2ce14886
children c11d138d654a
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3425:8625164a0a39 3426:f8dde1807dee
21 ## @deftypefn {Function File} {} rank (@var{a}, @var{tol}) 21 ## @deftypefn {Function File} {} rank (@var{a}, @var{tol})
22 ## Compute the rank of @var{a}, using the singular value decomposition. 22 ## Compute the rank of @var{a}, using the singular value decomposition.
23 ## The rank is taken to be the number of singular values of @var{a} that 23 ## The rank is taken to be the number of singular values of @var{a} that
24 ## are greater than the specified tolerance @var{tol}. If the second 24 ## are greater than the specified tolerance @var{tol}. If the second
25 ## argument is omitted, it is taken to be 25 ## argument is omitted, it is taken to be
26 ## 26 ##
27 ## @example 27 ## @example
28 ## tol = max (size (@var{a})) * sigma (1) * eps; 28 ## tol = max (size (@var{a})) * sigma (1) * eps;
29 ## @end example 29 ## @end example
30 ## 30 ##
31 ## @noindent 31 ## @noindent
32 ## where @code{eps} is machine precision and @code{sigma} is the largest 32 ## where @code{eps} is machine precision and @code{sigma} is the largest
33 ## singular value of @var{a}. 33 ## singular value of @var{a}.
34 ## @end deftypefn 34 ## @end deftypefn
35 35