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http://hdl.handle.net/1893/29005| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | A new algorithm for sparse interpolation of multivariate polynomials |
| Author(s): | Cuyt, Annie Lee, Wen-shin |
| Contact Email: | wen-shin.lee@stir.ac.uk |
| Keywords: | Black box polynomial Symbolic–numeric sparse interpolation qd-algorithm Generalized eigenvalue Hadamard polynomial Early termination |
| Issue Date: | 17-Dec-2008 |
| Date Deposited: | 5-Mar-2019 |
| Citation: | Cuyt A & Lee W (2008) A new algorithm for sparse interpolation of multivariate polynomials. Theoretical Computer Science, 409 (2), pp. 180-185. https://doi.org/10.1016/j.tcs.2008.09.002 |
| Abstract: | To reconstruct a black box multivariate sparse polynomial from its floating point evaluations, the existing algorithms need to know upper bounds for both the number of terms in the polynomial and the partial degree in each of the variables. Here we present a new technique, based on Rutishauser’s qd-algorithm, in which we overcome both drawbacks. |
| DOI Link: | 10.1016/j.tcs.2008.09.002 |
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| Licence URL(s): | http://www.rioxx.net/licenses/under-embargo-all-rights-reserved |
| File | Description | Size | Format | |
|---|---|---|---|---|
| A new algorithm for sparse interpolation of multivariate polynomials.pdf | Fulltext - Published Version | 386.37 kB | Adobe PDF | Under Permanent Embargo Request a copy |
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