Theorems on the global convergence of the nonlinear homotopy method for MOS circuits

Dan Niu; Guangming Hu; Yasuaki Inoue

doi:10.1109/PrimeAsia.2011.6075066

Theorems on the global convergence of the nonlinear homotopy method for MOS circuits

Dan Niu^*, Guangming Hu, Yasuaki Inoue

^*この研究の対応する著者

研究成果: Conference contribution

5 被引用数 (Scopus)

抄録

Finding DC operating points of nonlinear circuits is an important and difficult task. The Newton-Raphson method adopted in the SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. However most previous studies are mainly focused on the bipolar transistor circuits and no paper presents the global convergence of the homotopy method for MOS circuits. This paper extends the nonlinear homotopy method to MOS transistor circuits and presents the global convergence theorems of the homotopy method for MOS circuits.

本文言語	English
ホスト出版物のタイトル	Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics
ページ	41-44
ページ数	4
DOI	https://doi.org/10.1109/PrimeAsia.2011.6075066
出版ステータス	Published - 2011
イベント	3rd IEEE Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics, PrimeAsia 2011 - Macau 継続期間: 2011 10月 6 → 2011 10月 8

Other

Other	3rd IEEE Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics, PrimeAsia 2011
City	Macau
Period	11/10/6 → 11/10/8

ASJC Scopus subject areas

ハードウェアとアーキテクチャ
電子工学および電気工学
教育

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10.1109/PrimeAsia.2011.6075066

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Niu, D, Hu, G & Inoue, Y 2011, Theorems on the global convergence of the nonlinear homotopy method for MOS circuits. in Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics., 6075066, pp. 41-44, 3rd IEEE Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics, PrimeAsia 2011, Macau, 11/10/6. https://doi.org/10.1109/PrimeAsia.2011.6075066

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abstract = "Finding DC operating points of nonlinear circuits is an important and difficult task. The Newton-Raphson method adopted in the SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. However most previous studies are mainly focused on the bipolar transistor circuits and no paper presents the global convergence of the homotopy method for MOS circuits. This paper extends the nonlinear homotopy method to MOS transistor circuits and presents the global convergence theorems of the homotopy method for MOS circuits.",

author = "Dan Niu and Guangming Hu and Yasuaki Inoue",

year = "2011",

doi = "10.1109/PrimeAsia.2011.6075066",

language = "English",

isbn = "9781457716096",

pages = "41--44",

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note = "3rd IEEE Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics, PrimeAsia 2011 ; Conference date: 06-10-2011 Through 08-10-2011",

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AU - Niu, Dan

AU - Hu, Guangming

AU - Inoue, Yasuaki

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N2 - Finding DC operating points of nonlinear circuits is an important and difficult task. The Newton-Raphson method adopted in the SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. However most previous studies are mainly focused on the bipolar transistor circuits and no paper presents the global convergence of the homotopy method for MOS circuits. This paper extends the nonlinear homotopy method to MOS transistor circuits and presents the global convergence theorems of the homotopy method for MOS circuits.

AB - Finding DC operating points of nonlinear circuits is an important and difficult task. The Newton-Raphson method adopted in the SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. However most previous studies are mainly focused on the bipolar transistor circuits and no paper presents the global convergence of the homotopy method for MOS circuits. This paper extends the nonlinear homotopy method to MOS transistor circuits and presents the global convergence theorems of the homotopy method for MOS circuits.

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DO - 10.1109/PrimeAsia.2011.6075066

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BT - Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics

T2 - 3rd IEEE Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics, PrimeAsia 2011

Y2 - 6 October 2011 through 8 October 2011

ER -

Theorems on the global convergence of the nonlinear homotopy method for MOS circuits

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