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Recall that the \(QR\) Algorithm is:

• Set \(A^{(0)} = A\)
• \(k=1, 2, 3, \dots \)
  • Compute \(Q^{(k)}R^{(k)}=A\text{,}\) the QR factorisation of \(A\text{.}\)
  • Set \(A^{(k)} = Q^{(k)}R^{(k)}\)