Mercurial > matrix-functions
view toolbox/forsythe.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 = forsythe(n, alpha, lambda) %FORSYTHE Forsythe matrix - a perturbed Jordan block. % FORSYTHE(N, ALPHA, LAMBDA) is the N-by-N matrix equal to % JORDBLOC(N, LAMBDA) except it has an ALPHA in the (N,1) position. % It has the characteristic polynomial % DET(A-t*EYE) = (LAMBDA-t)^N - (-1)^N ALPHA. % ALPHA defaults to SQRT(EPS) and LAMBDA to 0. if nargin < 2, alpha = sqrt(eps); end if nargin < 3, lambda = 0; end A = jordbloc(n, lambda); A(n,1) = alpha;