Application of the Alternating Direction Method of Multipliers to Control Constrained Parabolic Optimal Control Problems and Beyond

DOI10.4208/aam.OA-2022-0004zbMath1499.49090OpenAlexW4224070863MaRDI QIDQ5865909

Hangrui Yue, Yongcun Song, Roland Glowinski, Xiao-Ming Yuan

Publication date: 10 June 2022

Published in: Annals of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aam.oa-2022-0004

zbMATH Keywords

convergence analysisnested iterationalternating direction method of multipliersparabolic optimal control problemcontrol constraintinexactness criterion

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical optimization and variational techniques (65K10) PDEs in connection with control and optimization (35Q93) PDEs in connection with mathematical programming (35Q90) PDE constrained optimization (numerical aspects) (49M41)

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