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Unformatted text preview: CME302 Homework 3 October 6, 2009 T&B 10.1, 10.2, 11.1, 11.3 For 11.3(b), you will need mgs.m. You can use your own if you chose to implement it last week, or you can download it from the Materials section of Coursework. For reference, this is the implementation: function [Q R] = mgs(A) % Modified Gram-Schmidt orthogonalization. [m n] = size(A); V = zeros(m,n); Q = zeros(m,n); R = zeros(n); for(j = 1:n) V(:,j) = A(:,j); for(i = 1:j-1) % In CGS, V in the next line is A. R(i,j) = Q(:,i)'*V(:,j); V(:,j) = V(:,j) - R(i,j)*Q(:,i); end R(j,j) = sqrt(V(:,j)'*V(:,j)); Q(:,j) = V(:,j) / R(j,j); end 1 ...
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This document was uploaded on 06/17/2010.
- Fall '09