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Recursive Modeling of Discrete-Time Time Series Read chapter Read first chapter

1994 | OriginalPaper | Chapter

On the Rutishauser’s Approach to Eigenvalue Problems

Author : L. Faybusovich

Published in: Linear Algebra for Control Theory

Publisher: Springer New York

Included in: Professional Book Archive

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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.

previous chapter Completion of a Matrix so that the Inverse has Minimum Norm. Application to the Regularization of Descriptor Control Problems
next chapter The Block form of Linear Systems over Commutative Rings with Applications to Control
Metadata
Title
On the Rutishauser’s Approach to Eigenvalue Problems
Author
L. Faybusovich
Copyright Year
1994
Publisher
Springer New York
Book
Linear Algebra for Control Theory

Print ISBN: 978-1-4613-8421-2

Electronic ISBN: 978-1-4613-8419-9

Copyright Year: 1994

DOI
https://doi.org/10.1007/978-1-4613-8419-9_8

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