Web Reference: Matrix multiplication algorithms are a central subroutine in theoretical and numerical algorithms for numerical linear algebra and optimization, so finding the fastest algorithm for matrix multiplication is of major practical relevance. TensorGame is played as follows. The start position \({{\mathscr{S}}}_{0}\) of the game corresponds to the tensor \({\mathscr{T}}\) representing the bilinear operation of interest, expressed in some basis. In each step t of the game, the player writes down three vectors (u(t), v(t), w(t)), which specify the rank-1 tensor u(t) ⊗ v(t) ⊗ w(t), and the... Mar 7, 2024 · Renfei Zhou helped find a new method to multiply matrices faster than ever before. “This is a major technical breakthrough,” said William Kuszmaul, a theoretical computer scientist at Harvard University. “It is the biggest improvement in matrix multiplication we’ve seen in more than a decade.”
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