Single-input Eigenvalue Assignment Algorithms: a Close-look

  title={Single-input Eigenvalue Assignment Algorithms: a Close-look},
  author={N. H. Venkat Datta},
A close-look is given at the single-input eigenvalue assignment methods. Several previously known backward stable QR algorithms are tied together in a common framework of which each is a special case, and their connection to an explicit expression for the feedback vector is exposed. A simple new algorithm is presented and its backward stability is established by round-oo-error analysis. The diierences between this new algorithm and the other QR algorithms are discussed. Also, the round-oo error… CONTINUE READING
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