J. M. Landsberg
Abstract
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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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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.
Key concepts: Multiplication (music), Rank (graph theory), Mathematics, Matrix multiplication, Matrix (chemical analysis), Operator (biology), Variety (cybernetics), Arithmetic