Buch, Englisch, Band 385, 146 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 530 g
Theory and Applications
Buch, Englisch, Band 385, 146 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 530 g
Reihe: Lecture Notes in Control and Information Sciences
ISBN: 978-3-540-95979-3
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Überwachungstechnik
- Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
Weitere Infos & Material
I Theory.- Basics.- Classical Results and Problems.- Nonnegative Integer Matrices.- On the Finiteness Property for Rational Matrices.- II Applications.- Continuity of Wavelet Functions.- Capacity of Codes.- Overlap-Free Words.- Trackable Graphs.- Conclusion.- III Appendices.- Appendix A Numerical Values for Overlap-Free Words.
