Given f(x) = 2x* - 10x3 + 60x? - 70x + 50 is unimodal with a...
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Given f(x) = 2x* - 10x3 + 60x? - 70x + 50 is unimodal with a minimiser on [-2,2). You want to make use of the Fibonacci search method to reduce this interval length by at least 95%, where ɛ = 0.05. Given you want to make use of the minimum number of calculations, what should the value of P, be? From this pi perform one complete iteration of the Fibonacci method. FN+1-k Pk =1- FN+2-k F = FR-1+ FR-2 1+ 2ɛ FN+1 Given f(x) = 2x* - 10x3 + 60x? - 70x + 50 is unimodal with a minimiser on [-2,2). You want to make use of the Fibonacci search method to reduce this interval length by at least 95%, where ɛ = 0.05. Given you want to make use of the minimum number of calculations, what should the value of P, be? From this pi perform one complete iteration of the Fibonacci method. FN+1-k Pk =1- FN+2-k F = FR-1+ FR-2 1+ 2ɛ FN+1
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