Matlab Codes for Real Eigenvalues of Symmetric Tensors

by Chun-Feng Cui, Yu-Hong Dai, and Jiawang Nie

Purposes of the Codes

They are for computing all real eigenvalues for symmetric tensors.

They are based on the methods in the paper:
Chun-Feng Cui, Yu-Hong Dai, Jiawang Nie. All real eigenvalues of symmetric tensors.
SIAM J. Matrix Anal. Appl. 35 (2014), no. 4, 1582-1601.

Installation

Download the zip file AReigSTensors.zip and extract it to a directory where you like to save. Make sure Matlab paths are added correctly.

To run the code, you need to install the SDP solver sedumi and polynomial optimization package GloptiPoly 3.

How to use the code?

See the file readme.txt. The main function is AReigSTensors.m. Please see the examplary file ex1.m for how to use it.