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ABSTRACT This is the first in a series of papers on rank decompositions of the matrix multiplication tensor. In this paper, we establish general facts about rank decompositions of tensors,… Click to show full abstract
ABSTRACT This is the first in a series of papers on rank decompositions of the matrix multiplication tensor. In this paper, we establish general facts about rank decompositions of tensors, describe potential ways to search for new matrix multiplication decompositions, give a geometric proof of the theorem of Burichenko establishing the symmetry group of Strassen's algorithm, and present two particularly nice subfamilies in the Strassen family of decompositions.
Keywords:
rank decompositions;
geometry;
decompositions matrix;
geometry rank;
matrix multiplication
Journal Title: Experimental Mathematics
Year Published: 2019
Link to full text (if available)
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Journal Title: Experimental Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!