| Presentation | 2006-12-13 Algebraic Expression of Solutions for Harmonic Balance Method using Error Bound Masakazu YAGI, Takashi HISAKADO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The solutions of the HB method are zero dimensional ideal. In order to obtain the zero dimensional ideal using Grobner base of lexicographic order, we need tremendously large computational cost. On the other hand, the error bound of the HB method with n unknowns is represented by n-1 dimensional ideal. That is, the error bound is represented by only one equation. The fact indicates that the computational cost of calculating the error bound is less than that of solving the HB equation for computer algebra. This paper proposes to use the error bounds for the expression of solutions for the HB equations. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | error bound / harmonic balance method / Grobner base / algebraic expression of solutions / zero dimensional ideal / high dimensional ideal |
| Paper # | NLP2006-95 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2006/12/6(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Algebraic Expression of Solutions for Harmonic Balance Method using Error Bound |
| Sub Title (in English) | |
| Keyword(1) | error bound |
| Keyword(2) | harmonic balance method |
| Keyword(3) | Grobner base |
| Keyword(4) | algebraic expression of solutions |
| Keyword(5) | zero dimensional ideal |
| Keyword(6) | high dimensional ideal |
| 1st Author's Name | Masakazu YAGI |
| 1st Author's Affiliation | Department of Electrical Engineering, Kyoto University() |
| 2nd Author's Name | Takashi HISAKADO |
| 2nd Author's Affiliation | Department of Electrical Engineering, Kyoto University |
| Date | 2006-12-13 |
| Paper # | NLP2006-95 |
| Volume (vol) | vol.106 |
| Number (no) | 413 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |