On the Rutishauser’s Approach to Eigenvalue Problems
We consider the quotient-difference algorithm of H. Rutishauser from the point of view of the realization theory of rational functions. QR-like algorithms of the linear algebra can be thought of as discrete-time dynamical systems on certain classes of matrices. We show that these algorithms induce linear dynamical systems on various manifolds of rational functions. Applications to coding theory are considered.
KeywordsRational Function Eigenvalue Problem Realization Theory Linear Dynamical System Principal Minor
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