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comparison scripts/special-matrix/vander.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 ae7adbb591e8
children f49111e2d8a4
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3425:8625164a0a39 3426:f8dde1807dee
18 ## 02111-1307, USA. 18 ## 02111-1307, USA.
19 19
20 ## -*- texinfo -*- 20 ## -*- texinfo -*-
21 ## @deftypefn {Function File} {} vander (@var{c}) 21 ## @deftypefn {Function File} {} vander (@var{c})
22 ## Return the Vandermonde matrix whose next to last column is @var{c}. 22 ## Return the Vandermonde matrix whose next to last column is @var{c}.
23 ## 23 ##
24 ## A Vandermonde matrix has the form 24 ## A Vandermonde matrix has the form
25 ## @iftex 25 ## @iftex
26 ## @tex 26 ## @tex
27 ## $$ 27 ## $$
28 ## \left[\matrix{c_0^n & \ldots & c_0^2 & c_0 & 1\cr 28 ## \left[\matrix{c_0^n & \ldots & c_0^2 & c_0 & 1\cr
31 ## c_n^n & \ldots & c_n^2 & c_n & 1}\right]. 31 ## c_n^n & \ldots & c_n^2 & c_n & 1}\right].
32 ## $$ 32 ## $$
33 ## @end tex 33 ## @end tex
34 ## @end iftex 34 ## @end iftex
35 ## @ifinfo 35 ## @ifinfo
36 ## 36 ##
37 ## @example 37 ## @example
38 ## @group 38 ## @group
39 ## c(0)^n ... c(0)^2 c(0) 1 39 ## c(0)^n ... c(0)^2 c(0) 1
40 ## c(1)^n ... c(1)^2 c(1) 1 40 ## c(1)^n ... c(1)^2 c(1) 1
41 ## . . . . 41 ## . . . .
42 ## . . . . 42 ## . . . .
43 ## . . . . 43 ## . . . .
44 ## 44 ##
45 ## c(n)^n ... c(n)^2 c(n) 1 45 ## c(n)^n ... c(n)^2 c(n) 1
46 ## @end group 46 ## @end group
47 ## @end example 47 ## @end example
48 ## @end ifinfo 48 ## @end ifinfo
49 ## @end deftypefn 49 ## @end deftypefn