Superlinear convergence of a semismooth Newton method for some optimization problems with applications to control theory

DOI10.1137/24M1644286MaRDI QIDQ6644847

Eduardo Casas

Publication date: 28 November 2024

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

zbMATH Keywords

optimal controlsecond order optimality conditionssemismooth Newton methodstrict complementarity condition

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Newton-type methods (49M15)

Cites Work

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• Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems
• A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints
• A general theorem on error estimates with application to a quasilinear elliptic optimal control problem
• Elliptic optimal control problems with \(L^1\)-control cost and applications for the placement of control devices
• A hybrid semismooth quasi-Newton method for nonsmooth optimal control with PDEs
• Second order analysis for optimal control problems: improving results expected from abstract theory
• Numerical Optimization
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method

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