A switching-parameter algorithm for finding multiple solutions of nonlinear resistive circuits
A switching-parameter algorithm for finding multiple solutions of nonlinear resistive circuits
复制标题
用于寻找非线性电阻电路多重解的开关参数算法
DOI：
10.1002/cta.4490040302
复制
发表时间：
1976
影响因子：
2.3
通讯作者：
A. Ushida
中科院分区：
文献类型：
--
作者：
L. Chua;A. Ushida
给出了一个求非线性代数方程组多解的有效算法。该算法包括解决一个相关的一阶非线性微分方程组的独立变量可以从一个变量切换到另一个在每个积分步骤。前向欧拉预测器和牛顿-拉夫森校正积分微分方程的选择导致一个非常有效的方法来实现这种开关参数算法。这种方法只涉及一个相关的线性代数方程组的递归解，可以很容易地编程。开关参数法也可用于求多值电阻性非线性网络的驱动点或传递特性曲线。
An efficient algorithm for finding multiple solutions of a system of nonlinear algebraic equations is presented. This algorithm consists of solving an associated system of first order nonlinear differential equations whose independent variable may be switched from one variable to another during each integration step. The choice of the forward Euler predictor and Newton-Raphson corrector for integrating the differential equations leads to an extremely efficient method for implementing this switching-parameter algorithm. This approach involves only the recursive solution of an associated system of linear algebraic equations and can be easily programmed. The switching-parameter algorithm can also be used to derive the driving-point or transfer characteristic curve of multivalued resistive nonlinear networks.