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

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