| Presentation | 2004-09-13 Path Following Circuits : SPICE-Oriented Numerical Methods Where Formulas Are Described by Circuits Kiyotaka YAMAMURA, Wataru KUROKI, Yasuaki INOUE, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Path following circuits (PFCs) are circuits for solving nonlinear problems on the circuit simulator SPICE. In the method of PFCs, formulas of numerical methods are described by circuits, which are solved by SPICE. Using PFCs, numerical analysis without programming is possible, and various techniques implemented in SPICE will make the numerical analysis very efficient. In this paper, we apply the PFCs of the homotopy method to various nonlinear problems (excluding circuit analysis) where the homotopy method is proven to be globally convergent; namely, we apply the method to fixed-point problems, linear programming problems, and nonlinear programming problems. This approach may give a new possibility to the fields of applied mathematics and operations research. Moreover, this approach makes SPICE applicable to a broader class of scientific problems. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | circuit simulator / SPICE / nonlinear equation / homotopy method / optimization problem |
| Paper # | CAS2004-27,NLP2004-39 |
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| Conference Information | |
| Committee | CAS |
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| Conference Date | 2004/9/6(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Circuits and Systems (CAS) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Path Following Circuits : SPICE-Oriented Numerical Methods Where Formulas Are Described by Circuits |
| Sub Title (in English) | |
| Keyword(1) | circuit simulator |
| Keyword(2) | SPICE |
| Keyword(3) | nonlinear equation |
| Keyword(4) | homotopy method |
| Keyword(5) | optimization problem |
| 1st Author's Name | Kiyotaka YAMAMURA |
| 1st Author's Affiliation | Chuo University() |
| 2nd Author's Name | Wataru KUROKI |
| 2nd Author's Affiliation | Chuo University |
| 3rd Author's Name | Yasuaki INOUE |
| 3rd Author's Affiliation | Waseda University |
| Date | 2004-09-13 |
| Paper # | CAS2004-27,NLP2004-39 |
| Volume (vol) | vol.104 |
| Number (no) | 292 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |