Superlinear convergence of affine-scaling interior-point Newton methods for infinite-dimensional nonlinear problems with pointwise bounds

Keyphrases

• Newton's Method 100%
• Infinite Dimension 100%
• Nonlinear Problems 100%
• Interior Point 100%
• Superlinear Convergence 100%
• Affine Scaling 100%
• Pointwise Bounds 100%
• Strict Complementarity 66%
• Numerical Results 33%
• Problem Formulation 33%
• Heating Process 33%
• Main Building 33%
• Local Convergence 33%
• Control Control 33%
• Optimal Control Problem 33%
• Trust Region 33%
• Finite-dimensional 33%
• Convergence Theory 33%
• Active Constraints 33%
• Interior Point Method 33%
• Globally Convergent 33%
• Norm Equivalence 33%
• Lp Spaces 33%
• Complementarity Conditions 33%
• Infinite-dimensional Problems 33%
• Non-degenerate Solution 33%
• Essential Use 33%
• Exact Identifiability 33%
• KKT Conditions 33%
• Newton-like 33%
• Pointwise Control Constraints 33%

Mathematics

• Pointwise 100%
• Interior Point 100%
• Nonlinear Problem 100%
• Newton's Method 100%
• Local Convergence 25%
• Identifiability 25%
• Lp-Spaces 25%
• Trust Region 25%
• KKT Condition 25%
• Optimal Control Problem 25%
• Building Block 25%
• Dimensional Problem 25%
• Heating Process 25%
• Active Constraint 25%