Recurrence relations for the even and odd characteristic polynomials of a symmetric Toeplitz matrix

Link:
Autor/in:
Verlag/Körperschaft:
Hamburg University of Technology
Erscheinungsjahr:
2003
Medientyp:
Text
Schlagworte:
  • eigenvalue
  • Toeplitz matrix
  • factorization
  • 510: Mathematik
  • Eigenwert
  • Toeplitz-Matrix
  • Faktorisierung
  • 510
  • 65F15:Eigenvalues, eigenvectors
  • 15A18:Eigenvalues, singular values, and eigenvectors
  • 65F15
  • 15A18
Beschreibung:
  • In a recent paper [10] Melman proved an even–odd factorization of the characteristic polynomial of a symmetric Toeplitz matrix T on which a symmetry exploiting method for computing the smallest eigenvalue of T can be based. In this note we present a proof of the factorization which is less technical and more transparent.
Lizenzen:
  • info:eu-repo/semantics/openAccess
  • http://rightsstatements.org/vocab/InC/1.0/
Quellsystem:
TUHH Open Research

Interne Metadaten
Quelldatensatz
oai:tore.tuhh.de:11420/139