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).
Increment a number, given its digits
Set some matrix elements to zero
Number of digits in an integer
Quasi-Newton Method for Unconstrained Minimization using BFGS Update
Partial pivoting for Gauss Elimination
Sequential Unconstrained Minimization (SUMT) using Interior Penalty
Gauss Eliminate 2-by-2 example
False position (linear interpolation) method of finding a root.
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