Displaying similar documents to “The decomposition of tensor spaces with almost complex structure”

A Spectral Theory for Tensors

Edinah K. Gnang, Ahmed Elgammal, Vladimir Retakh (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

Similarity:

In this paper we propose a general spectral theory for tensors. Our proposed factorization decomposes a tensor into a product of orthogonal and scaling tensors. At the same time, our factorization yields an expansion of a tensor as a summation of outer products of lower order tensors. Our proposed factorization shows the relationship between the eigen-objects and the generalised characteristic polynomials. Our framework is based on a consistent multilinear algebra which explains how...