Mercurial > matrix-functions
view toolbox/cycol.m @ 3:d24a00dabdc2 draft
Added first test and Makefile after figuring out how to!!! Also removed
fontconfig rubbish created by a bug in my GNU/linux system.
Note: review E.B. Davies's paper "Approximate Diagonalization" for tricky
diagonalization problems.
author | Antonio Pino Robles <data.script93@gmail.com> |
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date | Fri, 15 May 2015 20:24:25 +0200 |
parents | 8f23314345f4 |
children |
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function A = cycol(n, k) %CYCOL Matrix whose columns repeat cyclically. % A = CYCOL([M N], K) is an M-by-N matrix of the form A = B(1:M,1:N) % where B = [C C C...] and C = RANDN(M, K). Thus A's columns repeat % cyclically, and A has rank at most K. K need not divide N. % K defaults to ROUND(N/4). % CYCOL(N, K), where N is a scalar, is the same as CYCOL([N N], K). % % This type of matrix can lead to underflow problems for Gaussian % elimination: see NA Digest Volume 89, Issue 3 (January 22, 1989). m = n(1); % Parameter n specifies dimension: m-by-n. n = n(max(size(n))); if nargin < 2, k = max(round(n/4),1); end A = randn(m, k); for i=2:ceil(n/k) A = [A A(:,1:k)]; end A = A(:, 1:n);