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Author Stewart, G. W.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Symmetric tridiagonal matrix ♦ Eigenvalues ♦ Qr method ♦ Eigenvectors ♦ Origin shifts
Abstract The QR iteration for the eigenvalues of a symmetric tridiagonal matrix can be accelerated by incorporating a sequence of origin shifts. The origin shift may be either subtracted directly from the diagonal elements of the matrix or incorporated by means of an implicit algorithm. Both methods have drawbacks: the direct method can unnecessarily degrade small eigenvalues, while the implicit method can effectively loose the shift and thereby retard the convergence. This paper presents a new method which has neither drawback.
Description Affiliation: Univ. of Texas at Austin, Austin (Stewart, G. W.)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-08-01
Publisher Place New York
Journal Communications of the ACM (CACM)
Volume Number 13
Issue Number 6
Page Count 3
Starting Page 365
Ending Page 367


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Source: ACM Digital Library