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Advanced Proof

Optimality of Interval Reduction in the Fibonacci Search Method

Students frequently confuse Fibonacci search with the Golden Section search. While Golden Section search uses a constant ratio 1/ϕ 1/\phi and is a limiting case, Fibonacci search uses dynamic ratios tailored to the exact number of evaluations n n , providing a tighter interval for finite n n .
Institutional Reference: Fundamentals of Optimization
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