On the spectra of hypermatrix direct sum and Kronecker products constructions
Yuval Filmus, Edinah K. Gnang
TL;DR
This paper provides an elementary derivation of the spectral decomposition for hypermatrices formed through combinations of Kronecker products and direct sums, enhancing understanding of their spectral properties.
Contribution
It introduces a straightforward method to derive spectral decompositions of hypermatrices constructed via Kronecker products and direct sums.
Findings
Spectral decomposition formulas for hypermatrices are derived.
The method applies to hypermatrices of cubic side length 2.
Simplifies analysis of hypermatrix spectra.
Abstract
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 length 2
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Taxonomy
TopicsTensor decomposition and applications · Matrix Theory and Algorithms · Advanced Topics in Algebra