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The Joint Spectral Radius - Theory and Applications (Paperback, 2009 ed.)
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The Joint Spectral Radius - Theory and Applications (Paperback, 2009 ed.)
Series: Lecture Notes in Control and Information Sciences, 385
Expected to ship within 10 - 15 working days
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This monograph is based on the Ph.D. Thesis of the author 58]. Its
goal is twofold: First, it presents most researchwork that has been
done during his Ph.D., or at least the part of the work that is
related with the joint spectral radius. This work was concerned
with theoretical developments (part I) as well as the study of some
applications (part II). As a second goal, it was the author's
feeling that a survey on the state of the art on the joint spectral
radius was really missing in the literature, so that the ?rst two
chapters of part I present such a survey. The other chapters mainly
report personal research, except Chapter 5 which presents
animportantapplicationofthejointspectralradius:
thecontinuityofwavelet functions. The ?rst part of this monograph
is dedicated to theoretical results. The ?rst two chapters present
the above mentioned survey on the joint spectral radius. Its
minimum-growth counterpart, the joint spectral subradius, is also
considered. The next two chapters point out two speci?c theoretical
topics, that are important in practical applications: the
particular case of nonne- tive matrices, and the Finiteness
Property. The second part considers applications involving the
joint spectral radius.
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