Solution of the non-linear simultaneous equations case studies
8.1 Analysis of a non-linear direct current circuit
In Section 6.1 we developed equations for the non-linear DC circuit illustrated in Figure 6.3, which is repeated in Figure 8.1. The equations describing this circuit were expressed in the form g(x) = 0. In Section 8.1.1 we will discuss the Jacobian of g for this problem, while in Sections 8.1.2 and 8.1.3 we discuss the initial guess and the calculation of successive Newton–Raphson iterates. In Section 8.1.4 we investigate the application of the chord and ...