Given the following recursive complexity function: π(π) = π(π 3 ) + 2π(π/2) where π(1) = ο (1) Compute and prove its worst case time complexity using the iteration method.
Added by Amy P.
Step 1
We have T(n) = f(n) + 2 T(n/2) with f(n) = O(n^3) and T(1) = Theta(1). To get a tight bound, assume the nonrecursive cost is Theta(n^3), so f(n) = a n^3 for some constant a > 0 (this is the usual interpretation). Also assume n is a power of 2 to avoid Show moreβ¦
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