SPECTRAL PROPERTIES OF FINITE-DIMENSIONAL WAVEGUIDE SYSTEMS


Çolakoğlu N. , Lancaster P.

ELECTRONIC JOURNAL OF LINEAR ALGEBRA, cilt.30, ss.670-692, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30
  • Basım Tarihi: 2015
  • Doi Numarası: 10.13001/1081-3810.2855
  • Dergi Adı: ELECTRONIC JOURNAL OF LINEAR ALGEBRA
  • Sayfa Sayıları: ss.670-692

Özet

This is a largely expository paper in which a finite dimensional model for gyroscopic/waveguiding systems is studied. Properties of the spectrum that play an important role when computing with such models are studied. The notion of "waveguide-type" is explored in this context. The main theorem provides a form of the central result (due to Abramov) concerning the existence of real spectrum for such systems. The roles of semisimple/defective eigenvalues are discussed, as well as the roles played by eigenvalue "types" (or "Krein signatures"). The theory is illustrated with examples.