File: ff.m

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ufsparse 1.2-7
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Prob = UFget (706) ;

A = Prob.A ;
q = colamd (A) ;
A = A (:,q) ;
A = sprandn (A) ;
[m n] = size (A) ;

[pinv,lef,q,parent,vnz,rnz] = cs_sqr(A)
m2 = length (pinv) ;
B = [A ; sparse(m2-m,n)] ;
B = B (p,q) ;
p(pinv) = 1:length (pinv) ;

R1 = gqr2 (B) ;

clf
subplot (2,2,1) ; spy(A)
subplot (2,2,3) ; spy (chol (A'*A + 100*speye(n))) ;
subplot (2,2,4) ; spy (R1) ;
subplot (2,2,2) ;