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Fixed-Point Iteration: The Slope That Decides Everything (Numerical Methods Ep. 2)
Same equation. Same root. One rewrite converges in 10 steps — another explodes past 100 million. The only thing that changed was the slope. In Episode 2 of Numerical Methods, we take the classic cubic x³ + 4x² − 10 = 0 and rewrite it five different ways as x = g(x). Same root every time (p ≈ 1.3652300), but five completely different ...
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