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A variant of the inverted Lanczos method
Citation Link: https://doi.org/10.15480/882.168
Publikationstyp
Working Paper
Date Issued
2000-07
Sprache
English
Author(s)
Voß, Heinrich
Institut
TORE-DOI
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.
Subjects
eigenvalue problem
Lanczos method
Toeplitz matrix
symmetry properties
DDC Class
510: Mathematik
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