Nonlinear Equations 1

  • What is the form for solving nonlinear equations?
  • What are the two categories for nonlinear equations?
  • Why are bracketing methods considered robust?
  • What are the names of the two methods considered?
    • How do they work conceptually?
    • Which would you consider more robust?
  • What methods were discussed to find initial guesses?
  • How do you refine a bracket?
  • What is the convergence rate of bisection? Is this good?
  • Be able to write code for these methods.
    • Note the parts: function call, main character, supporting cast
    • function parameters: what do we pass in?
    • main character: the primary algorithm
    • supporting cast: the convergence check, edge cases, return answer, error checks