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Strassen’s algorithm is quite numerically stable as the naïve method.

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in Data Structures & Algorithms II by (111k points)
Strassen’s algorithm is quite numerically stable as the naïve method.

(a) True

(b) False

This 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

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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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