| Paper Abstract and Keywords |
| Presentation |
2004-09-13 17:00
[Invited Talk]
Path Following Circuits
-- SPICE-Oriented Numerical Methods Where Formulas Are Described by Circuits --
Kiyotaka Yamamura, Wataru Kuroki (chuo Univ.), Yasuaki Inoue (Waseda Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (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) |
| (in English) |
circuit simulator / SPICE / nonlinear equation / homotopy method / optimization problem / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 104, no. 294, NLP2004-39, pp. 33-38, Sept. 2004. |
| Paper # |
NLP2004-39 |
| Date of Issue |
2004-09-06 (CAS, NLP) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
|
| Conference Information |
| Committee |
NLP CAS |
| Conference Date |
2004-09-13 - 2004-09-14 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Kyoto Univ. |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
(TBD) |
| Paper Information |
| Registration To |
NLP |
| Conference Code |
2004-09-NLP-CAS |
| Language |
English (Japanese title is available) |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Path Following Circuits |
| Sub Title (in English) |
SPICE-Oriented Numerical Methods Where Formulas Are Described by Circuits |
| Keyword(1) |
circuit simulator |
| Keyword(2) |
SPICE |
| Keyword(3) |
nonlinear equation |
| Keyword(4) |
homotopy method |
| Keyword(5) |
optimization problem |
| Keyword(6) |
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| Keyword(7) |
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| Keyword(8) |
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| 1st Author's Name |
Kiyotaka Yamamura |
| 1st Author's Affiliation |
Chuo University (chuo Univ.) |
| 2nd Author's Name |
Wataru Kuroki |
| 2nd Author's Affiliation |
Chuo University (chuo Univ.) |
| 3rd Author's Name |
Yasuaki Inoue |
| 3rd Author's Affiliation |
Waseda University (Waseda Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2004-09-13 17:00:00 |
| Presentation Time |
60 minutes |
| Registration for |
NLP |
| Paper # |
CAS2004-27, NLP2004-39 |
| Volume (vol) |
vol.104 |
| Number (no) |
no.292(CAS), no.294(NLP) |
| Page |
pp.33-38 |
| #Pages |
6 |
| Date of Issue |
2004-09-06 (CAS, NLP) |
|