Why Strassen’s matrix algorithm is better?
A Quick Guide
What makes Strassen's matrix algorithm better than normal matrix multiplication and how to multiply two matrices using Strassen's algorithm?
Problem Statement
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This method is time-consuming, especially for large matrices. It involves multiplying each element of one matrix by each element of the other.
The Traditional Matrix Multiplication
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Strassen's algorithm breaks down matrices into smaller sub-matrices and solves them through a series of clever calculations.
Strassen's Algorithm- A Smarter Solution
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How does it work?
It uses a divide-and-conquer approach, reducing the number of calculations needed to multiply matrices. It's an efficient & effective solution.
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1. Divide matrices into submatrices of size N/2 x N/2.
2. Calculate the submatrices recursively.
3. Combine them into a new matrix C.
Algorithm of Strassen’s multiplication
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Worst case time complexity
: O(n^2.8074)
Best case time complexity
: O(1)
Space complexity
: O(logn)
Complexity
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Strassen’s Method is not preferred for practical applications. But Why?
Check out the challenges and limitations of Strassen's algorithm.
Applications
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Click on the link below to start your journey.
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