Title :
An interval algorithm for finding all solutions of nonlinear resistive circuits
Author :
Yamamura, Kiyotaka ; Igarashi, Naoya ; Inoue, Yasuaki
Author_Institution :
Chuo Univ., Tokyo, Japan
Abstract :
An efficient algorithm is proposed for finding all solutions of nonlinear (not piecewise-linear) resistive circuits with mathematical certainty. This algorithm is based on interval analysis, the dual simplex method, and the contraction method. By numerical examples, it is shown that the proposed algorithm could find all solutions of systems of 500 ∼ 700 nonlinear circuit equations in acceptable computation time.
Keywords :
linear programming; nonlinear network analysis; contraction method; dual simplex method; interval algorithm; nonlinear resistive circuit; Algorithm design and analysis; Circuit simulation; Computational efficiency; Nonlinear circuits; Nonlinear equations; Performance analysis; Piecewise linear techniques; Sufficient conditions;
Conference_Titel :
Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on
Print_ISBN :
0-7803-7761-3
DOI :
10.1109/ISCAS.2003.1204988
