There is not only one-way to do fixed point iteration. The problem description needs improvement by perhaps adding that x_n = g(x_n-1).
Clean the List of Names
Wrapping the Tower of Pisa
Find nearest prime number less than input number
Magic is simple (for beginners)
Partial pivoting for Gauss Elimination
Augmented Lagrange Multiplier (ALM) Method
Gauss Eliminate 2-by-2 example
Fletcher-Reeves Conjugate Gradient Method
Bisection method of finding a root.
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