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http://hdl.handle.net/1893/30246| Appears in Collections: | Computing Science and Mathematics Conference Papers and Proceedings |
| Author(s): | Lee, Wen-shin |
| Contact Email: | wen-shin.lee@stir.ac.uk |
| Title: | From quotient-difference to generalized eigenvalues and sparse polynomial interpolation |
| Citation: | Lee W (2007) From quotient-difference to generalized eigenvalues and sparse polynomial interpolation. In: SNC '07 Proceedings of the 2007 international workshop on Symbolic-numeric computation. Symbolic-Numeric Computation 2007 (SNC 2007), London, Ontario, Canada, 25.07.2007-27.07.2007. New York: ACM, pp. 110-116. https://dl.acm.org/citation.cfm?id=1277518 |
| Issue Date: | 25-Jul-2007 |
| Date Deposited: | 30-Aug-2019 |
| Conference Name: | Symbolic-Numeric Computation 2007 (SNC 2007) |
| Conference Dates: | 2007-07-25 - 2007-07-27 |
| Conference Location: | London, Ontario, Canada |
| Abstract: | The numerical quotient-difference algorithm, or the qd-algorithm , can be used for determining the poles of a meromorphic function directly from its Taylor coefficients. We show that the poles computed in the qd-algorithm, regardless of their multiplicities, are converging to the solution of a generalized eigenvalue problem. In a special case when all the poles are simple, such generalized eigenvalue problem can be viewed as a reformulation of Prony's method, a method that is closely related to the Ben-Or/Tiwari algorithm for interpolating a multivariate sparse polynomial in computer algebra. |
| Status: | VoR - Version of Record |
| Rights: | The publisher does not allow this work to be made publicly available in this Repository. Please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study. |
| URL: | https://dl.acm.org/citation.cfm?id=1277518 |
| Licence URL(s): | http://www.rioxx.net/licenses/under-embargo-all-rights-reserved |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Lee07.pdf | Fulltext - Published Version | 224.91 kB | Adobe PDF | Under Permanent Embargo Request a copy |
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