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).
Back to basics 3 - Temp Directory
Count decimal digits of a number
Free Fall analytical solution (Chapra 2012 textbook Example 1.1)
Augmented Lagrange Multiplier (ALM) Method
Forward Elimination for Gauss Elimination
False position (linear interpolation) method of finding a root.
Sequential Unconstrained Minimization (SUMT) using Exterior Penalty
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