The lagrange-newton method for infinite-dimensional optimization problems

DOI10.1080/01630569008816371zbMath0694.49022OpenAlexW2060547843MaRDI QIDQ3469814

Walter Alt

Publication date: 1990

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569008816371

zbMATH Keywords

sequential quadratic programmingLagrange-Newton methodinfinite-dimensional optimization

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical methods based on necessary conditions (49M05) Newton-type methods (49M15)

Related Items

Parametric Sensitivity Analysis in Optimal Control of a Reaction Diffusion System. I. Solution Differentiability, A Survey on Optimal Control Problems with Differential-Algebraic Equations, The Lagrange-Newton method for state constrained optimal control problems, Stability and sensitivity of solutions to nonlinear optimal control problems, An optimal control problem for flows with discontinuities, An SQP method for optimal control of weakly singular Hammerstein integral equations, Lipschitz stability of solutions to some state-constrained elliptic optimal control problems, Adjoint concepts for the optimal control of Burgers equation, Optimal control of the stationary Kirchhoff equation, The SQP method for control constrained optimal control of the Burgers equation, Robinson's implicit function theorem and its extensions, On a lagrange — Newton method for a nonlinear parabolic boundary control problem^∗, Unnamed Item, A Sequential Method for a Class of Stable Mathematical Programming Problems, Differential Stability of Control-Constrained Optimal Control Problems for the Navier-Stokes Equations, The Lagrange-Newton method for nonlinear optimal control problems, Convergence of the SQP method for quasilinear parabolic optimal control problems, Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Introduction to sensitivity and stability analysis in nonlinear programming
• Stability and sensitivity of solutions to optimal control problems for systems with control appearing linearly
• Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation
• Functional analysis and time optimal control
• Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity
• Regularity and Stability for Convex Multivalued Functions
• Strongly Regular Generalized Equations
• First and second order sufficient optimality conditions in mathematical programming and optimal control
• Perturbed Kuhn-Tucker points and rates of convergence for a class of nonlinear-programming algorithms
• Stability of solutions for a class of nonlinear cone constrained optimization problems, part 1: Basic theory
• Stability of solutions for a class of nonlinear cone constrained optimization problems, part 2: Application to parameter estimation