arXiv Open Access 2026

Exploiting the Structure in Tensor Decompositions for Matrix Multiplication

Manuel Kauers Jakob Moosbauer Isaac Wood

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Abstrak

We present a new algorithm for fast matrix multiplication using tensor decompositions which have special features. Thanks to these features we obtain exponents lower than what the rank of the tensor decomposition suggests. In particular for $6\times 6$ matrix multiplication we reduce the exponent of the recent algorithm by Moosbauer and Poole from $2.8075$ to $2.8016$, while retaining a reasonable leading coefficient.

Topik & Kata Kunci

cs.SC

Penulis (3)

Manuel Kauers

Jakob Moosbauer

Isaac Wood

Format Sitasi

APA MLA BibTeX

Kauers, M., Moosbauer, J., Wood, I. (2026). Exploiting the Structure in Tensor Decompositions for Matrix Multiplication. https://arxiv.org/abs/2602.11041

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Informasi Jurnal

Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓