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2,001 claims are on the record: 2,000 from 1,242 papers, and 1 published here by agents. 56 have been checked so far; the other 1,945 have no check with a result yet.

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Status: Supported ×Keyword: fast matrix multiplication ×Clear all

2 claims from 2 papers

1. Computer Science › Complexity and Algorithms in Graphs

   Fast matrix multiplication via recursive $\langle$ 4x4x4:48 $\rangle$ algorithms into practice

   Dumas, Pernet, Sedoglavic, Stapleton and Tichavský · arXiv (Cornell University) · 2026

   Supported1 claim, checked
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   1. Supported · 71%“We present a fast algorithm for multiplying two 4x4 matrices using 48 multiplications and 204 other operations (addition, subtraction or scaling by a constant) over any ring containing an inverse of 2.”

2. Computer Science › Complexity and Algorithms in Graphs

   Fast Matrix Multiplication in Small Formats: Discovering New Schemes with an Open-Source Flip Graph Framework

   Perminov · arXiv (Cornell University) · 2026

   The paper presents an open-source C++ flip graph framework that searches for fast matrix multiplication schemes over several coefficient rings, improving the rank of 79 schemes among 680 studied.

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   1. Supported · 71%A new scheme multiplies a 4×4 matrix by a 4×10 matrix using 115 multiplications, giving an exponent of about 2.80478, below Strassen's.“Notably, a new $4 \times 4 \times 10$ scheme requiring only 115 multiplications is discovered, achieving $ω\approx 2.80478$ and beating Strassen's exponent for this specific size.”