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Multiplication Algorithm Running Time . Thus, running time of strassen’s matrix multiplication algorithm o(n 2.81), which is less than cubic order of traditional approach. We present a major step towards closing the gap from above by presenting an algorithm running in time nlogn2o(log n). 3 Running times of various polynomial multiplication from www.researchgate.net They tackle a problem of size nby recursively solving, say, asubproblems of size n=band then combining these answers in o(nd) time, for some a;b;d>0 (in the multiplication algorithm, a= 3, b= 2, and d= 1). T (n) = t n 2 + c n; Hence, the karatsuba multiplication beats the naive integer multiplication algorithm in their running time efficiency.