| Presentation | 2003/1/27 On Interval Evaluation of Range of Polynomials Shinya MIYAJIMA, Masahide KASHIWAGI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Interval arithmetic is able to be applied in the case that we evaluate the range of polynomials. When we evaluate the ranges of polynomials by applying the interval arithmetic, the problem that interval widths of the ranges increase extremely exists. Horner's method is widely known as the evaluating method which mitigates this ploblem (which supply ranges whose interval widths are narrow). The purpose of this report is to propose the new methods which are able to supply ranges whose interval widths are narrower than the interval width of ranges which the Horner's method supplies. And this report shows the efficiency of the new methods by some neumerical examples. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Numerical Computation with Guaranteed Accuracy / Interval Arithmetic / Polynomial / Range |
| Paper # | NLP2002-95 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2003/1/27(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On Interval Evaluation of Range of Polynomials |
| Sub Title (in English) | |
| Keyword(1) | Numerical Computation with Guaranteed Accuracy |
| Keyword(2) | Interval Arithmetic |
| Keyword(3) | Polynomial |
| Keyword(4) | Range |
| 1st Author's Name | Shinya MIYAJIMA |
| 1st Author's Affiliation | School of Science and Engineering, Waseda University() |
| 2nd Author's Name | Masahide KASHIWAGI |
| 2nd Author's Affiliation | School of Science and Engineering, Waseda University |
| Date | 2003/1/27 |
| Paper # | NLP2002-95 |
| Volume (vol) | vol.102 |
| Number (no) | 625 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |