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An interval algorithm for finding all solutions of non‐linear resistive circuits
Author(s) -
Yamamura Kiyotaka,
Igarashi Naoya
Publication year - 2004
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.259
Subject(s) - resistive touchscreen , simplex algorithm , algorithm , piecewise linear function , computation , electronic circuit , interval arithmetic , interval (graph theory) , network analysis , linear circuit , computer science , electrical network , linear system , revised simplex method , nonlinear system , mathematics , linear programming , equivalent circuit , mathematical analysis , electrical engineering , engineering , voltage , combinatorics , bounded function , computer vision , physics , quantum mechanics
In this letter, an efficient algorithm is proposed for finding all solutions of non‐linear (not piecewise‐linear) resistive circuits. This algorithm is based on interval analysis, the dual simplex method, and the contraction methods. By numerical examples, it is shown that the proposed algorithm could find all solutions of systems of 500–700 non‐linear circuit equations in acceptable computation time. Copyright © 2004 John Wiley & Sons, Ltd.

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