QR Factorization using Householder Transformation

조회 수: 85(최근 30일)
Mar Cha
Mar Cha 2021년 3월 4일
답변: Monisha Nalluru 2021년 3월 10일
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

답변(1개)

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

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by