On the invariance of super-linearization under polynomial automorphisms

Fuente: arXiv
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Main Authors: Harshana, Anmol, Belabbas, Mohamed-Ali
Format: Preprint
Published: 2025
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author Harshana, Anmol
Belabbas, Mohamed-Ali
author_facet Harshana, Anmol
Belabbas, Mohamed-Ali
contents We prove that the super-linearizability of polynomial systems is preserved by all currently known classes of polynomial automorphisms of $\R^n$. We then establish connections between such automorphisms and a sufficient condition for super-linearizability.
format Preprint
id arxiv_https___arxiv_org_abs_2503_13849
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the invariance of super-linearization under polynomial automorphisms
Harshana, Anmol
Belabbas, Mohamed-Ali
Optimization and Control
We prove that the super-linearizability of polynomial systems is preserved by all currently known classes of polynomial automorphisms of $\R^n$. We then establish connections between such automorphisms and a sufficient condition for super-linearizability.
title On the invariance of super-linearization under polynomial automorphisms
topic Optimization and Control
url https://arxiv.org/abs/2503.13849