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QPDAS: Dual Active Set Solver for Mixed Constraint Quadratic Programming

Fält, Mattias LU and Giselsson, Pontus LU orcid (2019) 58th IEEE Conference on Decision and Control, CDC 2019 p.4891-4897
Abstract
We present a method for solving the general mixed constrained convex quadratic programming problem using an active set method on the dual problem. The approach is similar to existing active set methods, but we present a new way of solving the linear systems arising in the algorithm. There are two main contributions; we present a new way of factorizing the linear systems, and show how iterative refinement can be used to achieve good accuracy and to solve both types of sub-problems that arise from semi-definite problems.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2019 IEEE Conference on Decision and Control (CDC)
pages
7 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
58th IEEE Conference on Decision and Control, CDC 2019
conference location
Nice, France
conference dates
2019-12-11 - 2019-12-13
external identifiers
  • scopus:85082491507
ISBN
978-1-7281-1398-2
978-1-7281-1399-9
DOI
10.1109/CDC40024.2019.9029900
project
Large-Scale Optimization
language
English
LU publication?
yes
id
6d90c77a-ba36-40be-bd37-6a0d16832a23
alternative location
https://arxiv.org/abs/1911.12662
date added to LUP
2020-03-09 14:53:06
date last changed
2024-05-01 07:42:33
@inproceedings{6d90c77a-ba36-40be-bd37-6a0d16832a23,
  abstract     = {{We present a method for solving the general mixed constrained convex quadratic programming problem using an active set method on the dual problem. The approach is similar to existing active set methods, but we present a new way of solving the linear systems arising in the algorithm. There are two main contributions; we present a new way of factorizing the linear systems, and show how iterative refinement can be used to achieve good accuracy and to solve both types of sub-problems that arise from semi-definite problems.}},
  author       = {{Fält, Mattias and Giselsson, Pontus}},
  booktitle    = {{2019 IEEE Conference on Decision and Control (CDC)}},
  isbn         = {{978-1-7281-1398-2}},
  language     = {{eng}},
  month        = {{12}},
  pages        = {{4891--4897}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{QPDAS: Dual Active Set Solver for Mixed Constraint Quadratic Programming}},
  url          = {{http://dx.doi.org/10.1109/CDC40024.2019.9029900}},
  doi          = {{10.1109/CDC40024.2019.9029900}},
  year         = {{2019}},
}