English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  The Geometry of Rank Decompositions of Matrix Multiplication I: 2x2 Matrices

Chiantini, L., Ikenmeyer, C., Landsberg, J. M., & Ottaviani, G. (2016). The Geometry of Rank Decompositions of Matrix Multiplication I: 2x2 Matrices. Retrieved from http://arxiv.org/abs/1610.08364.

Item is

Files

show Files
hide Files
:
arXiv:1610.08364.pdf (Preprint), 162KB
Name:
arXiv:1610.08364.pdf
Description:
File downloaded from arXiv at 2017-01-30 14:34
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Chiantini, Luca1, Author
Ikenmeyer, Christian2, Author           
Landsberg, J. M.1, Author
Ottaviani, Giorgio1, Author
Affiliations:
1External Organizations, ou_persistent22              
2Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

Content

show
hide
Free keywords: Computer Science, Computational Complexity, cs.CC,Mathematics, Algebraic Geometry, math.AG,
 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's theorem establishing the symmetry group of Strassen's algorithm, and present two particularly nice subfamilies in the Strassen family of decompositions.

Details

show
hide
Language(s): eng - English
 Dates: 2016-10-252016
 Publication Status: Published online
 Pages: 9 p.
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1610.08364
URI: http://arxiv.org/abs/1610.08364
BibTex Citekey: CILO:16
 Degree: -

Event

show

Legal Case

show

Project information

show

Source

show