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Solving Nonlinear Systems of Equations

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Computational Methods in Power System Analysis

Part of the book series: Atlantis Studies in Scientific Computing in Electromagnetics ((ASSCE,volume 1))

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Abstract

It is not possible to solve a general nonlinear equation analytically, let alone a general nonlinear system of equations. However, there are iterative methods to find a solution for such systems. The Newton-Raphson algorithm is the standard method for solving nonlinear systems of equations. Most, if not all, other well-performing methods can be derived from the Newton-Raphson algorithm. In this chapter the Newton-Raphson method is treated, as well as some common variations.

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Authors and Affiliations

  1. Numerical Analysis, Delft University of Technology, Delft, The Netherlands

    Reijer Idema & Domenico J. P. Lahaye

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  1. Reijer Idema
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  2. Domenico J. P. Lahaye
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Correspondence to Reijer Idema .

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Idema, R., Lahaye, D.J.P. (2014). Solving Nonlinear Systems of Equations. In: Computational Methods in Power System Analysis. Atlantis Studies in Scientific Computing in Electromagnetics, vol 1. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-064-5_4

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  • DOI: https://doi.org/10.2991/978-94-6239-064-5_4

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  • Publisher Name: Atlantis Press, Paris

  • Print ISBN: 978-94-6239-063-8

  • Online ISBN: 978-94-6239-064-5

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