8 citations · 19 across the 32 of their papers we have counts for
5 papers · 1 filter
A symmetrization approach to hypermatrix SVD
Edinah K. Gnang, Fan Tian
We propose a new hypermatrix singular value decomposition based upon the spectral decomposition of the symmetric products of transposes.
Spectral Analysis for Non-Hermitian Matrices and Directed Graphs
Edinah K. Gnang, James M. Murphy
We generalize classical results in spectral graph theory and linear algebra more broadly, from the case where the underlying matrix is Hermitian to the case where it is non-Hermiti…
On the spectra of hypermatrix direct sum and Kronecker products constructions
Yuval Filmus, Edinah K. Gnang
Our main result is an elementary derivation of the spectral decomposition of hypermatrices generated by arbitrary combinations of Kronecker products and direct sums of cubic side l…
Approximating the spectrum of matrices and hypermatrices
Edinah K. Gnang
We describe a general approach for computing generators for elimination ideals associated with matrix and hypermatrix spectral decomposition constraints. We derive from these gener…
A Spectral Theory for Tensors
Edinah K. Gnang, Ahmed Elgammal, Vladimir Retakh
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, o…