On the Derivation of Quasi-Newton Formulas for Optimization in Function Spaces

DOI10.1080/01630563.2020.1785496zbMath1441.90181OpenAlexW3043136278MaRDI QIDQ5118183

Radoslav G. Vuchkov, Cosmin G. Petra, Noemi Petra

Publication date: 7 September 2020

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

Full work available at URL: https://www.osti.gov/biblio/1804288

zbMATH Keywords

variational problemsquasi-NewtonPDE-constrained optimizationBFGSDFPPSBoptimization in infinite dimensionsSR1

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Methods of quasi-Newton type (90C53) Inverse problems for PDEs (35R30) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) PDEs in connection with control and optimization (35Q93)

Related Items

On the implementation of a quasi-Newton interior-point method for PDE-constrained optimization using finite element discretizations, A parallel-in-time multiple shooting algorithm for large-scale PDE-constrained optimal control problems

Uses Software

• hIPPYlib

Cites Work

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