On multiplication of 2 × 2 matrices

S. Winograd

doi:10.1016/0024-3795(71)90009-7

Linear Algebra and Its Applications

Paper

01 Jan 1971

On multiplication of 2 × 2 matrices

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Abstract

The two main results of this note are:. (i) The minimum number of multiplications required to multiply two 2 X 2 matrices is seven. (ii) The minimum number of multiplications/divisions required to multiply two complex numbers is three. © 1971.

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