## Given initial guess, must evaluate matrix elements and RHS, solve system for

****, and compute next iteration**x***i*+1. Then repeat (must solve 2 2 linear system each time).## Essentially the non-linear system has been linearized to make it easier to work with.

## NriC 9.7 discusses a global convergence strategy that combines multi-D NR with "backtracking" to improve chances of finding solutions.