A variant of the inverted Lanczos method
- Link:
- Autor/in:
- Verlag/Körperschaft:
- Hamburg University of Technology
- Erscheinungsjahr:
- 2000
- Medientyp:
- Text
- Schlagworte:
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- eigenvalue problem
- Lanczos method
- Toeplitz matrix
- symmetry properties
- 510: Mathematik
- Eigenwertproblem
- Toeplitz-Matrix
- 510
- 65F15:Eigenvalues, eigenvectors
- 65F15
- Beschreibung:
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- In this note we study a variant of the inverted Lanczos method which computes eigenvalue approximates of a symmetric matrix A from the projection to a Krylov space of A method at least as long as reorthogonalization is not required. The method is applied to the problem of determining the smallest eigenvalue of a symmetric Toeplitz matrix. It is accelerated taking advantage of symmetry properties of the corresponding eigenvector.
- Lizenzen:
-
- info:eu-repo/semantics/openAccess
- http://rightsstatements.org/vocab/InC/1.0/
- Quellsystem:
- TUHH Open Research
Interne Metadaten
- Quelldatensatz
- oai:tore.tuhh.de:11420/170