📄 seqcheb.m
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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
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