QR Factorization using Householder Transformation

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Mar Cha
Mar Cha 2021-3-4
回答： Monisha Nalluru 2021-3-10
Hello!
I am trying to compute a function householder that taking a matrix A, returns the matrix Q R such that
This is my code so far but it seems that I have a mistake since ~= A:
Any help please?
function [Q,R] = householder(A)
% Write your code here.
[m,n] = size(A);
Q = A;
for j = 1:m
z = Q(j:end,j);
v = [ -sign(z(1))*norm(z)-z(1); -z(2:end)];
P = eye(size(z,1), size(z,1)) - (2/(v'*v))*(v*v');
Q(j:end, j:end) = P* Q(j:end, j:end);
end
R = Q' * A;
end

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回答（1 个）

Monisha Nalluru
Monisha Nalluru 2021-3-10
Refer to the following blog post which gives example and clear understanding on Household Refelection and Household QR factorization with sample code.

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