An ordinary differential equation for modeling Halpern fixed-point Algorithm

DOI10.1016/J.AML.2023.108889MaRDI QIDQ6066911

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Publication date: 16 November 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

ordinary differential equationHessian-driven dampingHalpern fixed-point algorithm

Mathematics Subject Classification ID

Numerical methods for mathematical programming, optimization and variational techniques (65Kxx) Nonlinear operators and their properties (47Hxx)

Cites Work

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• On the convergence rate of the Halpern-iteration
• Monotone operator theory in convex optimization
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• First-order optimization algorithms via inertial systems with Hessian driven damping
• A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights
• Monotone Operators and the Proximal Point Algorithm
• A variational perspective on accelerated methods in optimization
• On Projection Algorithms for Solving Convex Feasibility Problems
• Some methods of speeding up the convergence of iteration methods
• Fixed points of nonexpanding maps
• Convex analysis and monotone operator theory in Hilbert spaces
• Convergence of iterates for first-order optimization algorithms with inertia and Hessian driven damping
• New integrable peakon equation and its dynamic system

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