Mercurial > matrix-functions
diff 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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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/toolbox/seqcheb.m Thu May 07 18:36:24 2015 +0200 @@ -0,0 +1,17 @@ +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