Alternated and multi-step inertial approximation methods for solving convex bilevel optimization problems

In this paper, we propose three kinds of inertial approximation methods based on the proximal gradient algorithm to accelerate the convergence of the algorithm for solving convex bilevel optimization problems. Under reasonable parameters, we prove that our algorithms converge strongly to some soluti...

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Bibliographic Details

Published in:	Optimization Vol. 72; no. 10; pp. 2517 - 2545
Main Authors:	Duan, Peichao, Zhang, Yiqun
Format:	Journal Article
Language:	English
Published:	Philadelphia Taylor & Francis 03.10.2023 Taylor & Francis LLC
Subjects:	Algorithms alternated inertia alternated multi-step inertia Approximation Convergence Convex bilevel optimization multi-step inertia Optimization Parameters proximal operator
ISSN:	0233-1934, 1029-4945
Online Access:	Get full text
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