MATH304_HW03_20080373_v3

MATH304_HW03_20080373_v3 - Math304 HW#3 Due:19.03.2010...

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Unformatted text preview: Math304 HW#3 Due:19.03.2010 Sekin Fidan 20080373 hw03 math304 Page 1 math304 Page 2 math304 Page 3 math304 Page 4 math304 Page 5 function [Q,R] = qrfactor(A) % call : [Q,R] = qrfactor(A) % Decompose the given matrix % A into Q and R using householder vectors % stored in U. Note that A = QR % A*R' = Q [n,m] = size(A); Ain = A; for k = 1:n-1 V = A(k:n,k); U = V - norm(V)*eye(n+1-k,1); U = U/norm(U); A(k:n,k:n) = A(k:n,k:n) - 2*U*(U'*A(k:n,k:n)); end R = A; Q = Ain * (R^-1); return function [Q,R] = qrfactor2(A) % call : [Q,R] = qrfactor2(A) % Decompose the given matrix % A into Q and R using householder vectors % stored in U. Note that Q = Q1*Q2*...*Qn. % [n,m] = size(A); Q = eye(n); for k = 1:n-1 Qt = eye(n); V = A(k:n,k); U = V - norm(V)*eye(n+1-k,1); U = U/norm(U); A(k:n,k:n) = A(k:n,k:n) - 2*U*(U'*A(k:n,k:n)); Qt(k:n,k:n) = constructq(U); Q = Qt*Q; end R = A; Q = Q'; return >> A = randn(3) A = 1.1908 -0.1567 -1.0565-1.2025 -1.6041 1.4151-0.0198 0.2573 -0.8051 >> [Q,R]= qrfactor(A) Q =...
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MATH304_HW03_20080373_v3 - Math304 HW#3 Due:19.03.2010...

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