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Algorithm

Strassen's Algorithm

Numerical Algorithm

The Strassen algorithm, named after Volker Strassen, is a method for multiplying two matrices that is asymptotically faster than the standard matrix multiplication algorithm for large matrices, achieving a complexity of approximately O(n to the power 2.807) against the standard method's O(n cubed). Strassen first published the algorithm in 1969, demonstrating for the first time that the conventional cubic-time approach to matrix multiplication was not optimal, though the algorithm's extra matrix additions and subtractions make it less efficient than the standard method in practice for smaller matrices. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Time Complexity
O(n^log2(7)), approximately O(n^2.8074), versus the standard O(n^3). 1
Credited To
Volker Strassen, 1969. 1
Connections

Invented By

Volker Strassen published his subcubic matrix multiplication algorithm in 1969, the first to beat the standard cubic-time method.

Sources
1. Wikipedia: Strassen's Algorithm
Wikimedia Foundation
  • Lead section
    a better asymptotic complexity (O(n^log2(7)) versus O(n^3))
  • Body, history
    Volker Strassen first published this algorithm in 1969, demonstrating that the standard n^3 general matrix multiplication approach was suboptimal.
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