In modeling and optimization of real processes often occurs the pro...

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Apr 20, 2017 05:19 english homework
In modeling and optimization of real processes often occurs the problem of solving systems of nonlinear equations (SNE).

For solving SNE generally use iterative methods. There are considered two of the most common iterative methods: Newton’s method and its modification.

Methods were compared by the following characteristics: the conditions of application methods; conditions of convergence and rate of convergence; the amount of computing to achieve the desired accuracy of the approximate solution.

The developed program (in C # language) implements algorithms of these two iterative methods.

Comparison of methods carried out on particular examples. Examples consist of a systems of two nonlinear equations given initial approximation and precision. Each example was resolved in the program and manually.

In addition to the basic comparison of Newton's method and its modifications carried out analysis of single stage and two-stage methods.