Mercurial > matrix-functions
comparison matrixcomp/seqcheb.m @ 0:8f23314345f4 draft
Create local repository for matrix toolboxes. Step #0 done.
| author | Antonio Pino Robles <data.script93@gmail.com> |
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| date | Wed, 06 May 2015 14:56:53 +0200 |
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| -1:000000000000 | 0:8f23314345f4 |
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| 1 function x = seqcheb(n, k) | |
| 2 %SEQCHEB Sequence of points related to Chebyshev polynomials. | |
| 3 % X = SEQCHEB(N, K) produces a row vector of length N. | |
| 4 % There are two choices: | |
| 5 % K = 1: zeros of T_N, (the default) | |
| 6 % K = 2: extrema of T_{N-1}, | |
| 7 % where T_k is the Chebsyhev polynomial of degree k. | |
| 8 | |
| 9 if nargin == 1, k = 1; end | |
| 10 | |
| 11 if k == 1 % Zeros of T_n | |
| 12 i = 1:n; j = .5*ones(1,n); | |
| 13 x = cos( (i-j) * (pi/n) ); | |
| 14 elseif k == 2 % Extrema of T_(n-1) | |
| 15 i = 0:n-1; | |
| 16 x = cos( i * (pi/(n-1)) ); | |
| 17 end |