We establish general facts about rank decompositions of tensors, describe potential ways to search for new matrix multiplication decompositions, give a geometric proof establishing the symmetry group of Strassen's algorithm, and present two particularly nice subfamilies in the Strassen family of decompositions.
The Geometry of Rank Decompositions of Matrix Multiplication I: 2 × 2 Matrices / Chiantini L.; Ikenmeyer C.; Landsberg J.M.; Ottaviani G.. - In: EXPERIMENTAL MATHEMATICS. - ISSN 1058-6458. - STAMPA. - 28:(2019), pp. 322-327. [10.1080/10586458.2017.1403981]
The Geometry of Rank Decompositions of Matrix Multiplication I: 2 × 2 Matrices
CHIANTINI, LUCA;Ottaviani G.
2019
Abstract
We establish general facts about rank decompositions of tensors, describe potential ways to search for new matrix multiplication decompositions, give a geometric proof establishing the symmetry group of Strassen's algorithm, and present two particularly nice subfamilies in the Strassen family of decompositions.File in questo prodotto:
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