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function [V,Beta,R] = qr2 (A)
%QR2 QR factorization based on Householder reflections
%
% Example:
% [V,beta,R] = qr2 (A)
% See also: testall
% Copyright 2006-2012, Timothy A. Davis, http://www.suitesparse.com
[m n] = size (A) ;
V = zeros (m,n) ;
Beta = zeros (1,n) ;
for k = 1:n
% [v,beta,s] = gallery ('house', A (k:m,k), 2) ;
[v,beta] = house (A (k:m,k)) ;
V (k:m,k) = v ;
Beta (k) = beta ;
A (k:m,k:n) = A (k:m,k:n) - v * (beta * (v' * A (k:m,k:n))) ;
end
R = triu (A) ;
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