- What algorithm do you use to compute the eigenvalues of a nonsymmetric matrix.
- How is QR iteration equivalent to the power method and inverse iteration?
- Write down the orthogonal iteration algorithm.
- What is upper Hessenberg form? What is its significance?
- State the Implicit Q Theorem.
- What is a Householder reflection? How does one compute it in a stable way?
- How does one choose the shift in the QR iteration?
- What form does QR iteration converge to and how does one extract the eigenvalues and eigenvectors from this form?