📄 house.m
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function [v,b]=house(x)% HOUSE Returns the householder transf to reduce x to b*e_n %% [V,B] = HOUSE(X) Returns vector v and multiplier b so that% H = eye(n)-b*v*v' is the householder matrix that will transform% Hx ==> [0 0 0 ... ||x||], where is a constant.n=length(x);s = x(1:n-1)'*x(1:n-1);v= [x(1:n-1)' 1]';if (s == 0) b = 0;else m = sqrt(x(n)*x(n) + s); if (x(n) <= 0) v(n) = x(n)-m; else v(n) = -s/(x(n)+m); end b = 2*v(n)*v(n)/(s + v(n)*v(n)); v = v/v(n);end
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