Question: 2 The LU iteration algorithm [30 pts] We consider the following iteration, starting with some full rank Go E Cmxm: Zk = AGk-1, GkRk =

2 The LU iteration algorithm [30 pts] We consider the following iteration, starting with some full rank Go E Cmxm: Zk = AGk-1, GkRk = Zk, LU factorization with no pivoting, 7) where Gr is lower-triangular and Rx is upper-triangular. We define The = GF AGk. (8) Find an algorithm that computes the sequence T in a manner similar to the QR iteration. This algorithm is a variant of the QR iteration. The eigenvalues of A appear on the diagonal of Tk

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