A Katzenelson-Like Algorithm for Solving Nonlinear Resistive Networks
Summary :
An efficient algorithm is presented for solving nonlinear resistive networks. In this algorithm, the techniques of the piecewise-linear homotopy method are introduced to the Katzenelson algorithm, which is known to be globally convergent for a broad class of piecewise-linear resistive networks. The proposed algorithm has the following advantages over the original Katzenelson algorithm. First, it can be applied directly to nonlinear (not piecewise-linear) network equations. Secondly, it can find the accurate solutions of the nonlinear network equations with quadratic convergence. Therefore, accurate solutions can be computed efficiently without the piecewise-linear modeling process. The proposed algorithm is practically more advantageous than the piecewise-linear homotopy method because it is based on the Katzenelson algorithm that is very popular in circuit simulation and has been implemented on several circuit simulators.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E77-A No.7 pp.1172-1178
- Publication Date
- 1994/07/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Numerical Analysis and Self-Validation
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Kiyotaka YAMAMURA, "A Katzenelson-Like Algorithm for Solving Nonlinear Resistive Networks" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 7, pp. 1172-1178, July 1994, doi: .
Abstract: An efficient algorithm is presented for solving nonlinear resistive networks. In this algorithm, the techniques of the piecewise-linear homotopy method are introduced to the Katzenelson algorithm, which is known to be globally convergent for a broad class of piecewise-linear resistive networks. The proposed algorithm has the following advantages over the original Katzenelson algorithm. First, it can be applied directly to nonlinear (not piecewise-linear) network equations. Secondly, it can find the accurate solutions of the nonlinear network equations with quadratic convergence. Therefore, accurate solutions can be computed efficiently without the piecewise-linear modeling process. The proposed algorithm is practically more advantageous than the piecewise-linear homotopy method because it is based on the Katzenelson algorithm that is very popular in circuit simulation and has been implemented on several circuit simulators.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_7_1172/_p
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@ARTICLE{e77-a_7_1172,
author={Kiyotaka YAMAMURA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Katzenelson-Like Algorithm for Solving Nonlinear Resistive Networks},
year={1994},
volume={E77-A},
number={7},
pages={1172-1178},
abstract={An efficient algorithm is presented for solving nonlinear resistive networks. In this algorithm, the techniques of the piecewise-linear homotopy method are introduced to the Katzenelson algorithm, which is known to be globally convergent for a broad class of piecewise-linear resistive networks. The proposed algorithm has the following advantages over the original Katzenelson algorithm. First, it can be applied directly to nonlinear (not piecewise-linear) network equations. Secondly, it can find the accurate solutions of the nonlinear network equations with quadratic convergence. Therefore, accurate solutions can be computed efficiently without the piecewise-linear modeling process. The proposed algorithm is practically more advantageous than the piecewise-linear homotopy method because it is based on the Katzenelson algorithm that is very popular in circuit simulation and has been implemented on several circuit simulators.},
keywords={},
doi={},
ISSN={},
month={July},}
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TY - JOUR
TI - A Katzenelson-Like Algorithm for Solving Nonlinear Resistive Networks
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1172
EP - 1178
AU - Kiyotaka YAMAMURA
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 1994
AB - An efficient algorithm is presented for solving nonlinear resistive networks. In this algorithm, the techniques of the piecewise-linear homotopy method are introduced to the Katzenelson algorithm, which is known to be globally convergent for a broad class of piecewise-linear resistive networks. The proposed algorithm has the following advantages over the original Katzenelson algorithm. First, it can be applied directly to nonlinear (not piecewise-linear) network equations. Secondly, it can find the accurate solutions of the nonlinear network equations with quadratic convergence. Therefore, accurate solutions can be computed efficiently without the piecewise-linear modeling process. The proposed algorithm is practically more advantageous than the piecewise-linear homotopy method because it is based on the Katzenelson algorithm that is very popular in circuit simulation and has been implemented on several circuit simulators.
ER -
English
