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).
Find common elements in matrix rows
Figurate number triangle
02 - Vector Variables 2
Free Fall analytical solution (Chapra 2012 textbook Example 1.1)
False position (linear interpolation) method of finding a root.
Steepest Descent Method
Partial pivoting for Gauss Elimination
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