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?