On the growth of nonconvex functionals at strict local minimizers

Fuente: arXiv
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Auteurs principaux: Corella, Alberto Domínguez, Lê, Trí Minh
Format: Preprint
Publié: 2024
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author Corella, Alberto Domínguez
Lê, Trí Minh
author_facet Corella, Alberto Domínguez
Lê, Trí Minh
contents We give new characterizations of growth conditions at strict local minimizers. The main characterizations are a variant of the so-called tilt stability property and an analog of the classical Polyak--Łojasiewicz condition, where the gradient is replaced by linear perturbations.
format Preprint
id arxiv_https___arxiv_org_abs_2409_01833
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the growth of nonconvex functionals at strict local minimizers
Corella, Alberto Domínguez
Lê, Trí Minh
Optimization and Control
49J52, 49K40, 90C31, 90C48
We give new characterizations of growth conditions at strict local minimizers. The main characterizations are a variant of the so-called tilt stability property and an analog of the classical Polyak--Łojasiewicz condition, where the gradient is replaced by linear perturbations.
title On the growth of nonconvex functionals at strict local minimizers
topic Optimization and Control
49J52, 49K40, 90C31, 90C48
url https://arxiv.org/abs/2409.01833