Transcribed TextTranscribed Text

(4) Page 76, Problem 10.2. 10.2. (a) Write a MATLAB function [W,R] = house(A) that computes an implicit representation of a full QR factorization A = QR of an m X n matrix A with m > n using Householder reflections. The output variables are a lower-triangular matrix W € Cmxn whose columns are the vectors Uk defining the successive Householder reflections, and a triangular matrix R € C71,71 (b) Write a MATLAB function Q = formQ(W) that takes the matrix W pro- duced by house as input and generates a corresponding m X m orthogonal matrix Q.

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

function th()
% test Housholder

m = 9;
n = 5;
A = rand(m,n);

% factorize and check errors
[W,R] = house(A);
Q = formQ(W);
maxError = max(max(abs(Q*R-A)))

% Compare with Matlab
[Qm,Rm] = qr(A);
diffRml = max(max(abs(R-Rm)))
diffQml = max(max(abs(Q-Qm)))


By purchasing this solution you'll be able to access the following files:

for this solution

or FREE if you
register a new account!

PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

Find A Tutor

View available Numerical Analysis Tutors

Get College Homework Help.

Are you sure you don't want to upload any files?

Fast tutor response requires as much info as possible.

Upload a file
Continue without uploading

We couldn't find that subject.
Please select the best match from the list below.

We'll send you an email right away. If it's not in your inbox, check your spam folder.

  • 1
  • 2
  • 3
Live Chats