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Karatsuba's Algorithm implemented in C++

C++ 100.00%
karatsuba-multiplication karatsuba-algorithm divide-and-conquer polynomial-multiplication polynomials

polynomial-multiplication-karatsuba's Introduction

Polynomial-Multiplication-Karatsuba

Karatsuba multiplication is an algorithm invented by Anatoly Karatsuba in 1960 to multiply n-digit numbers in less than O(n^2) time. The algorithm was invented for use on integers, but can be applied to polynomials represented as coefficient arrays.

Time complexity: O(n^log3) ~ O(n^1,585)

Screen Shot 2022-03-03 at 18 01 00

References

[1] https://cse.hkust.edu.hk/mjg_lib/Classes/COMP3711H_Fall14/lectures/DandC_Multiplication_Handout.pdf

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