A convex function satisfying the Łojasiewicz inequality but failing the gradient conjecture both at zero and infinity-Reference-Cited by-同舟云学术

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A convex function satisfying the Łojasiewicz inequality but failing the gradient conjecture both at zero and infinity

Published:2022-03-22 Issue:2 Volume:54 Page:590-608
ISSN:0024-6093
Container-title:Bulletin of the London Mathematical Society
language:en
Short-container-title:Bulletin of London Math Soc

Author:

Daniilidis Aris¹,Haddou Mounir²,Ley Olivier²

Affiliation:

1. TU Wien, Institute of Statistics and Mathematical Methods in Economics E105‐04 Wiedner Hauptstraße 8 Wien A‐1040 Austria

2. Univ Rennes, INSA CNRS IRMAR ‐ UMR 6625 Rennes F‐35000 France

Funder

Technische Universität Wien Bibliothek

Center on the Microenvironment and Metastasis, Cornell University

Fondo Nacional de Desarrollo Científico y Tecnológico

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1112/blms.12586

Reference32 articles.

1. Characterizations of Łojasiewicz inequalities: Subgradient flows, talweg, convexity

2. J.BolteandE.Pauwels Curiosities and counterexamples in smooth convex optimization TSE Working Paper n. 20‐1080 2020.

3. Nonoscillating Projections for Trajectories of Vector Fields

4. Conditions for Convexity of Quasiconvex Functions

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1. Convergence Rates of Zeroth Order Gradient Descent for Łojasiewicz Functions;INFORMS Journal on Computing;2024-03-13

2. Half a Century with the Problem of the Gradient of an Analytic Function;Handbook of Geometry and Topology of Singularities V: Foliations;2024

3. A Qualitative Difference Between Gradient Flows of Convex Functions in Finite- and Infinite-Dimensional Hilbert Spaces;Applied and Numerical Harmonic Analysis;2024

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