The gradient projection algorithm for a proximally smooth set and a function with Lipschitz continuous gradient
DOI10.1070/SM9214zbMath1447.90036OpenAlexW2995035084MaRDI QIDQ3304387
Publication date: 31 July 2020
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm9214
gradient projection algorithmgradient mappingproximal smoothnesserror bound conditionnonconvex extremal problem
Nonconvex programming, global optimization (90C26) Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)
Related Items (5)
Cites Work
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- Maximization of a function with Lipschitz continuous gradient
- About the Lipschitz property of the metric projection in the Hilbert space
- Introductory lectures on convex optimization. A basic course.
- New error bounds and their applications to convergence analysis of iterative algorithms
- From error bounds to the complexity of first-order descent methods for convex functions
- METRIC REGULARITY—A SURVEY PART 1. THEORY
- METRIC REGULARITY—A SURVEY PART II. APPLICATIONS
- Strong and Weak Convexity of Sets and Functions
- Local differentiability of distance functions
- RSG: Beating Subgradient Method without Smoothness and Strong Convexity
- Error Bounds, Quadratic Growth, and Linear Convergence of Proximal Methods
- Gradient Projection and Conditional Gradient Methods for Constrained Nonconvex Minimization
- Weakly convex and proximally smooth sets in Banach spaces
- Convex programming in Hilbert space
- On various notions of regularity of sets in nonsmooth analysis
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