Resolution Sequence: Defining a Procedure

Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Explores the analysis of trust regions with Cauchy steps in optimization.

Covers Newton's method conditions and convergence, extension to multiple variables, and linear models.

Explores nonlinear equations, emphasizing convergence and Taylor polynomials for function approximation.