1. State the condition for quadratic convergence for a nonlinear system and explain its importance.
2. Explain how minimizing a nonlinear function in several variables (Section 9.2) leads to solving systems of algebraic equations (Section 9.1).
3. What are the necessary and the sufficient conditions for an unconstrained minimum?
4. What is the difference between a local minimum and a global minimum? Which of the two types do the methods discussed in this chapter typically attempt to find?