Developing the Steepest Descent Method to Obtain the Elementary Solution to the Electrical Networks Problem and Using it in Broyden Method
Mathematical modelling plays a fundamental role in all science domains. By using it, we can construct mathematical models of several problems. Solving these models, mostly, depends on approximate methods, and when these models are represented by system of linear or nonlinear equations, the most equations have no exact solution .It is necessary to search for approximate solution by using numerical method such as Gauss, Gauss.Zaidl, Fixed Point, Newton, and Broyden methods. Beginning from an elementary value, which is chosen by estimation, and depending upon it to determine the speed of convergence and accuracy of the solution which we get by a certain accuracy.
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