Module I: Solving non-linear systems of equations ("Root finding")

This first module concerns the solution of nonlinear (systems of) equations. We reformulate the problem in the canonical form f(x)=0, and discuss three main algorithms for finding zeros of this equation. After this module you'll be able to find a solution of almost any equation (that has a solution) - at least numerically.

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Supporting reader: Section 2.0

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Supporting reader: Section 2.1

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Supporting reader: Section 2.1

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Supporting reader: Section 2.2

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Supporting reader: Section 2.2

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Supporting reader: Section 2.2

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Supporting reader: Section 2.2

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Supporting reader: Section 2.3

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Supporting reader: Section 2.3

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Supporting reader: Section 2.3

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The code for plotting the domain of convergence is here: newton.domain-of-convergence.py

Total time: 2:06:00

dr. R. Dwight ≤r.p.dwight@tudelft.nl≥ - 2021-06-28