The border rank of the multiplication of two by two matrices is seven
classification
🧮 math.AG
cs.NAmath.NA
keywords
matricesmultiplicationsevenapproximatelybordercannotlessmatrix
read the original abstract
I show that 2x2 matrices cannot be approximately multiplied using less than seven multiplications. In other words I show that the matrix multiplication operator is not in the sixth secant variety of the Segre produt of three $P^3$'s.
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