Polynomials and the exponent of matrix multiplication

Dataset

Description

We define tensors, most of which correspond with cubic polynomials, which have the same exponent w as the matrix multiplication tensor. In particular, we study the symmetrized matrix multiplication tensor defined on an nxn matrix A by trace(A^3). The use of polynomials enables the introduction of additional techniques from algebraic geometry in the study of the matrix multiplication exponent w.

Attributes

Attribute NameValues
Creator
  • Jonathan Hauenstein

Contributor
  • Luca Chiantini

  • Christian Ikenmeyer

  • Giorgio Ottaviani

  • J.M. Landsberg

Publisher
  • Jonathan Hauenstein

Departments and Units
Record Visibility and Access Public
Content License
  • All rights reserved

Digital Object Identifier

doi:10.7274/R0VT1Q1J

This DOI is the best way to cite this dataset.


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