Analisis-practica3 - Anlisis Numrico a e Reexiones de...

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An´ alisis Num´ erico Reflexiones de Householder y Rotaciones de Givens 26 de marzo de 2011 Ejercicio 1. Implemente en matlab el m´ etodo de las reflexiones de Householder para la descomposici´ on QR de cualquier matriz A R nxm function [Q,R]=desqr2(A) [Q,R]=(A) Q=eye(m); if (n < m) q=n; else q=m-1; end for k=1:q a=A(k:m,k); norma=norm(a); beta=1/(norma*(norma+abs(a(1)); u=a+sign(a(1))*norm(a)*[1;zeros(m-k,1)]; Q k=eye(m); Q k(k:m,k:m)=eye(m-k+1)-beta*u*u’; A=Q k*A:
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