TL;DR: An efficient algorithm is proposed for finding all solutions of piecewise-linear (PWL) resistive circuits using the simplex method and it is shown that the proposed algorithm could find all solution of relatively large scale problems in practical computation time.
Abstract: An efficient algorithm is proposed for finding all solutions of piecewise-linear (PWL) resistive circuits using the simplex method. By numerical examples, it is shown that the proposed algorithm could find all solutions of relatively large scale problems (including those where the number of PWL resistors is 500-2000 and the number of linear regions is 10/sup 500/-1000/sup 2000/) in practical computation time.
TL;DR: In this paper, the authors proposed a method to analyze circuits using Haar wavelet transform, which can easily treat such matrices, thus the calculation and its comprehension become easier at the expense of more number of bases.
Abstract: In this paper, we propose a method to analyze circuits using Haar wavelet transform. Recently, the method to analyze the circuit using Daubechies wavelets has been proposed. Then a Fourier-like approach as well as Laplace-like one for the solutions of transient problems by an algebraic system of equations is obtained and numerical time stepping is avoided. In that method, the matrices to express the integral and derivative are not easy to handle. In the proposed method, we can easily treat such matrices, thus the calculation and its comprehension become easier at the expense of more number of bases.