Nonlinear Equations 2

  • What are the names of the three methods discussed?
  • How do these open methods differ from the closed methods?
  • Rank order the convergence rate of the following methods from low to high: Secant, Newton, Fixed Poin from low to high.
    • what is the convergence rate of the Fixed Point and Newton methods?
  • True or False, open methods are gauranteed to converge
  • True or False, Newton’s method is gauranteed to converge if you are “close enough” to the root?
  • How does the Secant Method differ from the Regula Falsi Method?
  • Write the equation for Newton’s Method and for the Secant Method.
  • Write the form of the equation solved for the Fixed Point Method
  • True or False, there may be several ways to write a Fixed Point Method for a given problem, not all of which converge?
  • What is the convergence criteria for the Fixed Point method?