Mercurial > matrix-functions
comparison toolbox/cycol.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 |
comparison
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1:e471a92d17be | 2:c124219d7bfa |
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1 function A = cycol(n, k) | |
2 %CYCOL Matrix whose columns repeat cyclically. | |
3 % A = CYCOL([M N], K) is an M-by-N matrix of the form A = B(1:M,1:N) | |
4 % where B = [C C C...] and C = RANDN(M, K). Thus A's columns repeat | |
5 % cyclically, and A has rank at most K. K need not divide N. | |
6 % K defaults to ROUND(N/4). | |
7 % CYCOL(N, K), where N is a scalar, is the same as CYCOL([N N], K). | |
8 % | |
9 % This type of matrix can lead to underflow problems for Gaussian | |
10 % elimination: see NA Digest Volume 89, Issue 3 (January 22, 1989). | |
11 | |
12 m = n(1); % Parameter n specifies dimension: m-by-n. | |
13 n = n(max(size(n))); | |
14 | |
15 if nargin < 2, k = max(round(n/4),1); end | |
16 | |
17 A = randn(m, k); | |
18 for i=2:ceil(n/k) | |
19 A = [A A(:,1:k)]; | |
20 end | |
21 | |
22 A = A(:, 1:n); |