The Lezanski-Polyak-Lojasiewicz inequality and the convergence of the gradient projection algorithm

DOI10.18500/1816-9791-2023-23-1-4-10MaRDI QIDQ6488011

Maxim V. Balashov

Publication date: 22 March 2023

Published in: Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika (Search for Journal in Brave)

zbMATH Keywords

gradient projection algorithmreal-analytic functionproximal smoothnesserror bound conditionLezanski-Polyak-Lojasiewicz inequality

Mathematics Subject Classification ID

Real functions (26-XX) Calculus of variations and optimal control; optimization (49-XX)

Cites Work

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• The gradient projection method with Armijo's step size on manifolds
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• Preservation of Prox-Regularity of Sets with Applications to Constrained Optimization
• Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality
• Strong and Weak Convexity of Sets and Functions
• Error bound conditions and convergence of optimization methods on smooth and proximally smooth manifolds
• Gradient Projection and Conditional Gradient Methods for Constrained Nonconvex Minimization
• Sur le problème de la division

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