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| Content Provider | Springer Nature Link |
|---|---|
| Author | Zhang, Ting Xia, Bican |
| Copyright Year | 2007 |
| Abstract | A new algorithm for real root isolation of univariate polynomials is proposed, which is mainly based on exact interval arithmetic and bisection method. Although exact interval arithmetic is usually supposed to be inefficient, our algorithm is surprisingly fast because the termination condition of our algorithm is different from those of existing algorithms which are mostly based on Descartes’ rule of signs or Vincent’s theorem and we decrease the times of Taylor shifts in some cases. We test our algorithm on a large number of examples from the literature and report the performance. |
| Starting Page | 305 |
| Ending Page | 320 |
| Page Count | 16 |
| File Format | |
| ISSN | 16618270 |
| Journal | Mathematics in Computer Science |
| Volume Number | 1 |
| Issue Number | 2 |
| e-ISSN | 16618289 |
| Language | English |
| Publisher | SP Birkhäuser Verlag Basel |
| Publisher Date | 2007-10-15 |
| Publisher Place | Basel |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Real root isolation interval arithmetic interval Newton operator bisection method Maple Symbolic computation and algebraic computation Computer Science Mathematics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Computational Theory and Mathematics Computational Mathematics |
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