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A robust linear program solver for projectahedra Laza, Marius

Abstract

Linear programming has a wide range of applications, optimization-related problems being one of them. Important concerns in linear programming are efficiency, robustness, and accuracy. Linear programming is used in a reachability analysis tool called Coho [GM99] for dynamical systems. Previous experience has shown that linear programs in this tool lead to highly ill-conditioned linear systems which prevented successful reachability analysis. This thesis presents a robust linear program solver with provable error bounds that exploits the special structure of the linear programs that result in the reachability tool. This contribution is of interest for the particular application for which it was developed. Furthermore, it shows how duality and combinatorial aspects of linear programming can be exploited to achieve greater efficiency, robustness, and accuracy.

Item Metadata

Title
A robust linear program solver for projectahedra
Creator
Laza, Marius
Publisher
University of British Columbia
Date Issued
2002
Description
Linear programming has a wide range of applications, optimization-related problems being one of them. Important concerns in linear programming are efficiency, robustness, and accuracy. Linear programming is used in a reachability analysis tool called Coho [GM99] for dynamical systems. Previous experience has shown that linear programs in this tool lead to highly ill-conditioned linear systems which prevented successful reachability analysis. This thesis presents a robust linear program solver with provable error bounds that exploits the special structure of the linear programs that result in the reachability tool. This contribution is of interest for the particular application for which it was developed. Furthermore, it shows how duality and combinatorial aspects of linear programming can be exploited to achieve greater efficiency, robustness, and accuracy.
Extent
3913399 bytes
Genre
Thesis/Dissertation
Type
Text
File Format
application/pdf
Language
eng
Date Available
2009-08-13
Provider
Vancouver : University of British Columbia Library
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
DOI
10.14288/1.0051539
URI
http://hdl.handle.net/2429/12127
Degree
Master of Science - MSc
Program
Computer Science
Affiliation
Science, Faculty of; Computer Science, Department of
Degree Grantor
University of British Columbia
Graduation Date
2002-05
Campus
UBCV
Scholarly Level
Graduate
Aggregated Source Repository
DSpace

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Rights

For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.