Currently user specified threshold (via setThreshold) is only used in rank() while compute() sets its own threshold: RealScalar threshold_helper = m_colSqNorms.maxCoeff() * internal::abs2(NumTraits<Scalar>::epsilon()) / RealScalar(rows); to compute m_nonzero_pivots. Then solve() also uses m_nonzero_pivots instead of rank(). This also this thread: http://forum.kde.org/viewtopic.php?f=74&t=95481&sid=ed26a9f1d001dc38d354756fe962c5d3
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