1. Rootfinding

Overview

Rootfinding on a nonlinear set of equations: Newton's method

Learning goals:

  • Understand the Newton step in a high-dimensional search space
  • Understand how (approximated) Jacobians are central to the Newton's method
  • Using CasADi to evaluate Jacobians 
  • Understand some common failure modes of Newton's method

Presentation

Erratum: the link in the closing slide is irrelevant. All material is hosted by teachable now.


presentation.pdf


Exercises

ex_matlab.pdf
ex_python.pdf


Solutions

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Exercise 1



Exercise 2



Exercise 3


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Discussion

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