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