First- and second-order analysis for optimization problems with manifold-valued constraints

DOI10.1007/s10957-022-02107-xOpenAlexW3206209918MaRDI QIDQ2093286

Julián Ortiz López, Ronny Bergmann, Anton Schiela, Roland Griesse

Publication date: 7 November 2022

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.04882

zbMATH Keywords

manifold with cornersLagrangian functionfirst- and second-order optimality conditionsoptimization on manifoldsmanifold-valued constraints

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Manifolds and measure-geometric topics (49Q99)

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Constraint qualifications and optimality criteria for nonsmooth multiobjective programming problems on Hadamard manifolds

Cites Work

• Regularity and stability for the mathematical programming problem in Banach spaces
• Simple algorithms for optimization on Riemannian manifolds with constraints
• New constraint qualifications with second-order properties in nonlinear optimization
• Introduction to Smooth Manifolds
• Introduction to the Theory of Nonlinear Optimization
• Sequential Quadratic Optimization for Nonlinear Optimization Problems on Riemannian Manifolds
• An SQP Method for Equality Constrained Optimization on Hilbert Manifolds
• Intrinsic Formulation of KKT Conditions and Constraint Qualifications on Smooth Manifolds
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