| Project/Area Number |
20560374
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Communication/Network engineering
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| Research Institution | Waseda University |
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Principal Investigator |
NISHI Tetsuo Waseda University, 理工学術院, 教授 (40037908)
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| Co-Investigator(Kenkyū-buntansha) |
高橋 規一 九州大学, 大学院・システム情報科学研究院, 准教授 (60284551)
中谷 祐介 早稲田大学, 理工学術院, 准教授 (80318807)
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| Co-Investigator(Renkei-kenkyūsha) |
TAKAHASHI Norikazu 九州大学, 大学院・システム情報科学研究院, 准教授 (60284551)
NAKAYA Yuusuke 早稲田大学, 理工学術院, 准教授 (80318807)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | 非線形理論 / 回路 / 非線形理論・回路 / 受動線形抵抗回路 / 回路構造と精度の関係 / 事前誤差予測 / 悪条件行列の生成法 / 条件数 / 特異値の分布 |
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| Research Abstract |
Main results are the following three items :
1)By using the accuracy-guaranteed algorithm developed in our laboratory we numerically proved that the specified two-transistor circuit proposed previously by other researchers has surely five solutions. As the result we see that the maximum number of solutions of two-transistor circuits is equal to or greater than five. 2) On the generation of an extremely ill-conditioned matrix 2.1) we clarified the relation between the singular values of the matrix and an upper bound of the condition number, 2.2) we proposed a new simple method to generate an extremely ill-conditioned matrix, 2.3) we proposed a method to generate a matrix with more desirable properties as the bench mark matrices for the accuracy-guaranteed algorithm. 3) We proposed several methods to estimate the upper bound of the errors of the solutions obtained by circuit analysis program such as SPICE.
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