Path following circuits

Kiyotaka Yamamura; Wataru Kuroki; Yasuaki Inoue

doi:10.1109/ISCAS.2005.1465448

Path following circuits

Kiyotaka Yamamura^*, Wataru Kuroki, Yasuaki Inoue

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, it is shown that various scientific problems such as fixed-point problems, linear programming problems, and nonlinear programming problems can be solved by using the circuit simulator SPICE. The basic idea of the proposed method is that formulas of the homotopy method are described by circuits, and then they are solved by SPICE. Since SPICE is an excellent software that includes various excellent techniques, this approach will make the numerical analysis very efficient, especially for stiff problems. Moreover, for SPICE users, the proposed method will be useful because they can easily solve a broad class of problems by the homotopy method realized on SPICE without programming, although they do not know the homotopy method well.

Original language	English
Title of host publication	Proceedings - IEEE International Symposium on Circuits and Systems
Pages	3761-3764
Number of pages	4
DOIs	https://doi.org/10.1109/ISCAS.2005.1465448
Publication status	Published - 2005
Event	IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan Duration: 2005 May 23 → 2005 May 26

Other

Other	IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005
Country/Territory	Japan
City	Kobe
Period	05/5/23 → 05/5/26

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/ISCAS.2005.1465448

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title = "Path following circuits",

abstract = "In this paper, it is shown that various scientific problems such as fixed-point problems, linear programming problems, and nonlinear programming problems can be solved by using the circuit simulator SPICE. The basic idea of the proposed method is that formulas of the homotopy method are described by circuits, and then they are solved by SPICE. Since SPICE is an excellent software that includes various excellent techniques, this approach will make the numerical analysis very efficient, especially for stiff problems. Moreover, for SPICE users, the proposed method will be useful because they can easily solve a broad class of problems by the homotopy method realized on SPICE without programming, although they do not know the homotopy method well.",

author = "Kiyotaka Yamamura and Wataru Kuroki and Yasuaki Inoue",

year = "2005",

doi = "10.1109/ISCAS.2005.1465448",

language = "English",

pages = "3761--3764",

booktitle = "Proceedings - IEEE International Symposium on Circuits and Systems",

note = "IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 ; Conference date: 23-05-2005 Through 26-05-2005",

}

TY - GEN

T1 - Path following circuits

AU - Yamamura, Kiyotaka

AU - Kuroki, Wataru

AU - Inoue, Yasuaki

PY - 2005

Y1 - 2005

N2 - In this paper, it is shown that various scientific problems such as fixed-point problems, linear programming problems, and nonlinear programming problems can be solved by using the circuit simulator SPICE. The basic idea of the proposed method is that formulas of the homotopy method are described by circuits, and then they are solved by SPICE. Since SPICE is an excellent software that includes various excellent techniques, this approach will make the numerical analysis very efficient, especially for stiff problems. Moreover, for SPICE users, the proposed method will be useful because they can easily solve a broad class of problems by the homotopy method realized on SPICE without programming, although they do not know the homotopy method well.

AB - In this paper, it is shown that various scientific problems such as fixed-point problems, linear programming problems, and nonlinear programming problems can be solved by using the circuit simulator SPICE. The basic idea of the proposed method is that formulas of the homotopy method are described by circuits, and then they are solved by SPICE. Since SPICE is an excellent software that includes various excellent techniques, this approach will make the numerical analysis very efficient, especially for stiff problems. Moreover, for SPICE users, the proposed method will be useful because they can easily solve a broad class of problems by the homotopy method realized on SPICE without programming, although they do not know the homotopy method well.

UR - http://www.scopus.com/inward/record.url?scp=67649112364&partnerID=8YFLogxK

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DO - 10.1109/ISCAS.2005.1465448

M3 - Conference contribution

AN - SCOPUS:67649112364

SP - 3761

EP - 3764

BT - Proceedings - IEEE International Symposium on Circuits and Systems

T2 - IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005

Y2 - 23 May 2005 through 26 May 2005

ER -

Path following circuits

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