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Mansour Torabi
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README.md

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MATLAB Code: Solve Fibonacci Numbers using **Dynamic Programming**, Memoization Implementation in MATLAB
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1- **Fibo1.m: Fibonacci with Recursive approach:**\
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* Time Complexity: O(2^n)
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1. **Fibo1.m: Fibonacci with Recursive approach:**
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* Time Complexity: O(2^n)
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* Space Complexity: O(2^n)
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2- **Fibo2.m: Fibonacci with Dynamic programming (Memoization):**\
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* Time Complexity: O(n)
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2. **Fibo2.m: Fibonacci with Dynamic programming (Memoization):**
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* Time Complexity: O(n)
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* Space Complexity: O(n)
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3- **Fibo3.m: Fibonacci with Matrix Exponentiation:**\
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* Time Complexity: O(log(n))
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3. **Fibo3.m: Fibonacci with Matrix Exponentiation:**
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* Time Complexity: O(log(n))
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## How to use
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Just run the **EVAL.m** file to compare run-time of the following three methods:
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1- Fibo using _Recursive method_
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2- Fibo using _Dynamic programming_
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3- Fibo using _Matrix Exponentiation_ (Fastest method)
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1. Fibo using ___Recursive method___
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2. Fibo using ___Dynamic programming___
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3. Fibo using ___Matrix Exponentiation___ (Fastest method)

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