Superlinear Convergence of Affine-Scaling Interior-Point Newton Methods for Infinite-Dimensional Nonlinear Problems with Pointwise Bounds
From MaRDI portal
Publication:4507441
DOI10.1137/S0363012997325915zbMath1010.90094MaRDI QIDQ4507441
Stefan Ulbrich, Michael Ulbrich
Publication date: 18 October 2000
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
optimal controlinterior-point algorithmsoptimality conditionsnonlinear programmingbound constraintssuperlinear convergenceinfinite-dimensional optimizationtrust-region methodsaffine scaling
Numerical mathematical programming methods (65K05) Interior-point methods (90C51) Programming in abstract spaces (90C48)
Related Items
On the implementation of a quasi-Newton interior-point method for PDE-constrained optimization using finite element discretizations, An interior point method designed for solving linear quadratic optimal control problems withhpfinite elements, Elliptic optimal control problems with \(L^1\)-control cost and applications for the placement of control devices, An interior-point affine-scaling trust-region method for semismooth equations with box constraints, On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints, Inexact-Newton method for solving operator equations in infinite-dimensional spaces, Pseudotransient continuation for solving systems of nonsmooth equations with inequality constraints, An adaptive regularization method in Banach spaces, trlib: a vector-free implementation of the GLTR method for iterative solution of the trust region problem, Superlinear convergence of the control reduced interior point method for PDE constrained optimization, Robust error estimates for regularization and discretization of bang-bang control problems, Elliptic Control by Penalty Techniques with Control Reduction, A trust region interior point algorithm for infinite dimensional nonlinear programming, On the interplay between interior point approximation and parametric sensitivities in optimal control, Primal-dual interior-point methods for PDE-constrained optimization, The convergence of an interior point method for an elliptic control problem with mixed control-state constraints, Properties and construction of NCP functions, On two numerical methods for state-constrained elliptic control problems, Local convergence of the interior-point Newton method for general nonlinear programming, Computing Multiple Solutions of Topology Optimization Problems
Uses Software