An SQP Method for Equality Constrained Optimization on Hilbert Manifolds
From MaRDI portal
Publication:5152479
DOI10.1137/20M1341325zbMath1477.90122arXiv2005.06844OpenAlexW3200999775MaRDI QIDQ5152479
Anton Schiela, Julián M. Ortiz
Publication date: 24 September 2021
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.06844
Related Items
A Scalable Algorithm for Shape Optimization with Geometric Constraints in Banach Spaces ⋮ Riemannian Conjugate Gradient Methods: General Framework and Specific Algorithms with Convergence Analyses ⋮ Sequential Quadratic Optimization for Nonlinear Optimization Problems on Riemannian Manifolds ⋮ A symmetric splitting sequential quadratic optimization algorithm for two-block nonlinearly constrained nonconvex optimization ⋮ First- and second-order analysis for optimization problems with manifold-valued constraints
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical treatment of a geometrically nonlinear planar Cosserat shell model
- A Riemannian view on shape optimization
- Sobolev metrics on shape space of surfaces
- Adaptive cubic regularisation methods for unconstrained optimization. I: Motivation, convergence and numerical results
- The approximation problem for Sobolev maps between two manifolds
- The exponential map of a weak Riemannian Hilbert manifold
- Simple algorithms for optimization on Riemannian manifolds with constraints
- Vanishing distance phenomena and the geometric approach to SQG
- Groups of diffeomorphisms and the motion of an incompressible fluid
- A simple scheme for the approximation of the elastic flow of inextensible curves
- Optimization Methods on Riemannian Manifolds and Their Application to Shape Space
- A Matrix-Free Trust-Region SQP Method for Equality Constrained Optimization
- Newton Methods for Nonlinear Problems
- Some Open Problems in Elasticity
- Finite Elastoplasticity Lie Groups and Geodesics on SL(d)
- Towards a Lagrange–Newton Approach for PDE Constrained Shape Optimization
- Constraint preserving implicit finite element discretization of harmonic map flow into spheres
- A Trust Region Algorithm for Equality Constrained Minimization: Convergence Properties and Implementation
- A New Algorithm For Computing Liquid Crystal Stable Configurations: The Harmonic Mapping Case
- Trust Region Methods
- An affine covariant composite step method for optimization with PDEs as equality constraints
- Intrinsic Formulation of KKT Conditions and Constraint Qualifications on Smooth Manifolds
- The Gradient Projection Method Along Geodesics
- Harmonic Mappings of Riemannian Manifolds