On factorization of rank-one auto-correlation matrix polynomials - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2023

On factorization of rank-one auto-correlation matrix polynomials

Marianne Clausel
David Brie

Abstract

This article characterizes the rank-one factorization of auto-correlation matrix polynomials. We establish a sufficient and necessary uniqueness condition for uniqueness of the factorization based on the greatest common divisor (GCD) of multiple polynomials. In the unique case, we show that the factorization can be carried out explicitly using GCDs. In the non-unique case, the number of non-trivially different factorizations is given and all solutions are enumerated.
Fichier principal
Vignette du fichier
main.pdf (365.54 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-04062934 , version 1 (07-04-2023)
hal-04062934 , version 2 (28-08-2023)

Licence

Attribution

Identifiers

Cite

Konstantin Usevich, Julien Flamant, Marianne Clausel, David Brie. On factorization of rank-one auto-correlation matrix polynomials. 2023. ⟨hal-04062934v2⟩
55 View
28 Download

Altmetric

Share

Gmail Facebook X LinkedIn More