Mercurial > matrix-functions
view toolbox/seqcheb.m @ 2:c124219d7bfa draft
Re-add the 1995 toolbox after noticing the statement in the ~higham/mctoolbox/ webpage.
author | Antonio Pino Robles <data.script93@gmail.com> |
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date | Thu, 07 May 2015 18:36:24 +0200 |
parents | 8f23314345f4 |
children |
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function x = seqcheb(n, k) %SEQCHEB Sequence of points related to Chebyshev polynomials. % X = SEQCHEB(N, K) produces a row vector of length N. % There are two choices: % K = 1: zeros of T_N, (the default) % K = 2: extrema of T_{N-1}, % where T_k is the Chebsyhev polynomial of degree k. if nargin == 1, k = 1; end if k == 1 % Zeros of T_n i = 1:n; j = .5*ones(1,n); x = cos( (i-j) * (pi/n) ); elseif k == 2 % Extrema of T_(n-1) i = 0:n-1; x = cos( i * (pi/(n-1)) ); end