2 problems

Let $\tens{V}_k$ be the Krylov basis computed in the $k$th inner iteration, and suppose that the basis loses linear independence. Here, MGS-GMRES denotes GMRES using modified Gram–…

Let $m$ and $n$ be positive integers, and let $L$ be the number of levels in a TSQR factorization of an $m$-by-$n$ matrix. Compare TSQR with Householder QR (HQR) in uniform precisi…