Representation of the Vector Trajectory

Ćemal B. Dolićanin () and Anatolij B. Antonevich ()
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Ćemal B. Dolićanin: State University of Novi Pazar
Anatolij B. Antonevich: Belarusian State University

Chapter Chapter 3 in Dynamical Systems Generated by Linear Maps, 2014, pp 17-28 from Springer

Abstract: Abstract As already noted, in various applications, there are different questions on the behavior of a sequence of vectors of the form $$A^nx$$ A n x . In some cases, in order to answer such questions, it is enough to construct the leading term of the asymptotic of the trajectory $$A^nx$$ A n x , and this has been done in many papers (see for example [1]). However, in more subtle investigations, in particular, for the description of the dynamic of a linear map on the Grassmann manifold, all terms of the asymptotic expansion of the trajectory of an arbitrary vector are necessary.

Keywords: Invariant Subspace; Arbitrary Vector; Positive Power; Binomial Coefficient; Grassmann Manifold (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-08228-8_3

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