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Asymptotic Efficiency of Recurrences

Asymptotic Efficiency of Recurrences. Find the asymptotic bounds of recursive equations. Substitution method domain transformation Changing variable Recursive tree method Master method (master theorem) Provides bounds for: T ( n ) = aT ( n / b )+ f ( n ) where

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MASTER THEOREM

MASTER THEOREM. THE PROOF OF EXACT POWERS. T (n) = aT(n/b) + f(n). LEMMA I. Let a 1 and b>1 be constants, and let f(n) be nonnegative function defined on power of b. Define T(n) on exact power of b by the recurrence T(n) = O (1) if n = 1

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Asymptotic Efficiency of Recurrences

MASTER THEOREM