Anderson Acceleration for Linearly Converging SQP-Type Methods

Fuente: arXiv
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Main Authors: Frey, Jonathan, Kiessling, David, Baumgärtner, Katrin, Diehl, Moritz
Format: Preprint
Published: 2026
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author Frey, Jonathan
Kiessling, David
Baumgärtner, Katrin
Diehl, Moritz
author_facet Frey, Jonathan
Kiessling, David
Baumgärtner, Katrin
Diehl, Moritz
contents Although Anderson acceleration (AA) is known to speed up fixed-point iterations, it is rarely applied in constrained optimization, in particular sequential quadratic programming (SQP). We show that the local convergence behavior of a general family of (inexact) SQP-type methods can benefit from AA and introduce a simple heuristic to alleviate slower convergence farther from the solution. The method is implemented in the software framework acados. Numerical examples from optimal control illustrate consistent improvements in convergence of different SQP-type methods.
format Preprint
id arxiv_https___arxiv_org_abs_2604_14803
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Anderson Acceleration for Linearly Converging SQP-Type Methods
Frey, Jonathan
Kiessling, David
Baumgärtner, Katrin
Diehl, Moritz
Optimization and Control
Although Anderson acceleration (AA) is known to speed up fixed-point iterations, it is rarely applied in constrained optimization, in particular sequential quadratic programming (SQP). We show that the local convergence behavior of a general family of (inexact) SQP-type methods can benefit from AA and introduce a simple heuristic to alleviate slower convergence farther from the solution. The method is implemented in the software framework acados. Numerical examples from optimal control illustrate consistent improvements in convergence of different SQP-type methods.
title Anderson Acceleration for Linearly Converging SQP-Type Methods
topic Optimization and Control
url https://arxiv.org/abs/2604.14803