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author | Antonio Pino Robles <data.script93@gmail.com> |
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date | Fri, 29 May 2015 09:48:36 +0200 |
parents | 8f23314345f4 |
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8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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1 function x = seqcheb(n, k) |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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2 %SEQCHEB Sequence of points related to Chebyshev polynomials. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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3 % X = SEQCHEB(N, K) produces a row vector of length N. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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4 % There are two choices: |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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5 % K = 1: zeros of T_N, (the default) |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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6 % K = 2: extrema of T_{N-1}, |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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7 % where T_k is the Chebsyhev polynomial of degree k. |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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8 |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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9 if nargin == 1, k = 1; end |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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changeset
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10 |
8f23314345f4
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Antonio Pino Robles <data.script93@gmail.com>
parents:
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11 if k == 1 % Zeros of T_n |
8f23314345f4
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Antonio Pino Robles <data.script93@gmail.com>
parents:
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12 i = 1:n; j = .5*ones(1,n); |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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13 x = cos( (i-j) * (pi/n) ); |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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14 elseif k == 2 % Extrema of T_(n-1) |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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15 i = 0:n-1; |
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Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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16 x = cos( i * (pi/(n-1)) ); |
8f23314345f4
Create local repository for matrix toolboxes. Step #0 done.
Antonio Pino Robles <data.script93@gmail.com>
parents:
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17 end |