Top "Master-theorem" questions

In the analysis of algorithms, the Master theorem provides a cookbook solution in asymptotic terms (using Big O notation) for recurrence relations of types that occur in the analysis of many divide and conquer algorithms.

Master's theorem with f(n)=log n

For master's theorem T(n) = a*T(n/b) + f(n) I am using 3 cases: If a*f(n/b) = …

algorithm big-o divide-and-conquer master-theorem
Solving the recurrence T(n) = T(n / 2) + O(1) using the Master Theorem?

I'm trying to solve a recurrence relation to find out the complexity of an algorithm using the Master Theorem and …

algorithm complexity-theory big-o recurrence master-theorem
Solving the recurrence T(n) = T(n/2) + lg n?

I am having some issues on how to solve recurrence relations. T(n) = T(n/2) + log2(n), T(1) = 1, where n …

algorithm math big-o recurrence master-theorem
Write recurrence relation of function

I know the formula for the recurrence relation is T(n)=aT(n/b)+f(n). And given that equation …

algorithm big-o recurrence master-theorem
Master Theorem: Why is T(n)=16T(n/4)+n! considered Θ(n!)

I am having some problem trying to understand why T(n)=16T(n/4)+n! is considered Θ(n!) I am using …

master-theorem
How do I use Master theorem to describe recursion?

Recently I have been studying recursion; how to write it, analyze it, etc. I have thought for a while that …

recursion recurrence master-theorem
complexity of the function T(N)=T(n/2)+2^n

I am a student taking the algorithm course at university. I know how to apply a few recursive techniques to …

algorithm master-theorem
The master method - why can't it solve T(n) = T(n/2) + n^2/logn?

The master method - why can't it solve T(n) = 4*T(n/2) + (n^2)/logn? I realize it can solve recurrences …

algorithm master-theorem