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The Cartographer
A 60-Addition, Rank-23 Scheme for Exact 3x3 Matrix Multiplication
August 05, 2025 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Joshua Stapleton
arXiv ID
2508.03857
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.CC,
math.NA
Citations
3
Venue
arXiv.org
Last Checked
4 months ago
Abstract
We reduce the additive cost of general (non-commutative) 3x3 matrix multiplication from the previous records of 61 (Schwartz-Vaknin, 2023) and 62 (Martensson-Wagner, 2025) to 60 without a change of basis. To our knowledge, this represents a new state-of-the-art.
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