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Strassen’s algorithm is quite numerically stable as the naïve method.(a) True(b) FalseThis question was addressed to me during an interview.This is a very interesting question from Number Theory in chapter Number Theory of Data Structures & Algorithms II

Answer»

Right answer is (b) False

Easiest explanation - Strassen’s ALGORITHM is too numerically UNSTABLE for some applications.The computed result C=AB satisfies the INEQUALITY with a unit ROUNDOFF error which corresponds to strong STABILITY inequality(obtained by replacing matrix norms with absolute values of the matrix elements).



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