Journal article
Computation of exact inertia and inclusions of eigenvalues (singular values) of tridiagonal (bidiagonal) matrices
- Abstract:
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This report may be considered as a non-trivial extension of an unpublished report by William Kahan (Accurate Eigenvalues of a symmetric tri-diagonal matrix, Technical Report CS 41, Computer Science Department, Stanford University, 1966). His interplay between matrix theory and computer arithmetic led to the development of algorithms for computing accurate eigenvalues and singular values. His report is generally considered as the precursor for the development of IEEE standard 754 f...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 202.1KB, Terms of use)
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- Publisher copy:
- 10.1016/j.laa.2006.09.008
Authors
- Publisher:
- Elsevier
- Journal:
- Linear Algebra and its Applications More from this journal
- Volume:
- 422
- Issue:
- 1
- Pages:
- 77-99
- Publication date:
- 2007-04-01
- Edition:
- Publisher's version
- DOI:
- ISSN:
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0024-3795
- Language:
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English
- Subjects:
- UUID:
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uuid:936b303a-59d1-4228-9e65-ed21a2b8b2b9
- Local pid:
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ora:8891
- Deposit date:
-
2014-08-26
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier Inc
- Copyright date:
- 2006
- Notes:
- Copyright 2006 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
- Licence:
- Other
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