EGR 103/Roots Extrema

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Basic Root-Finding Problems

  • Main thing is to look at MATLAB:Fzero and the different ways of calling it.
  • The sign plots are really helpful.
  • The last equation has three sign changes but only two roots

Basic Min/Max Finding Problems

  • Main thing is to look at MATLAB:Fminbnd and the different ways of calling it.

Palm Problem 3.13

  • This eventually becomes a one-parameter search problem. Though you are using fminbnd here, there is an example for a one-parameter search at MATLAB:Fzero#One_Parameter; the example is based on fzero versus fminbnd but the concept is the same.

Chapra Problem 6.14

Chapra 6.21

  • This simply requires using fzero twice - just be careful on how you initialize fzero and also be careful about units for the angles.