Deakin University
Browse

File(s) under permanent embargo

An auxiliary function method for constrained systems of nonlinear equations

conference contribution
posted on 2008-01-01, 00:00 authored by Z Wu, F Bai, Musa MammadovMusa Mammadov
In this paper, we propose an auxiliary function method to solve constrained systems of nonlinear equations. By introducing an auxiliary function, an unconstrained (box-constrained) optimization problem is constructed for a given constrained system of nonlinear equations. It is shown that any local minimizer of the constructed unconstrained optimization problem is an approximate solution to the given constrained system when parameters are appropriately chosen, and the precision for approximation can be preset. It is also shown that any accumulation point of the local minimizers of the constructed unconstrained optimization problems with a sequence of parameters tending to zero is a solution to the given constrained system of nonlinear equations.

History

Pagination

259-265

Location

Neringa, Lithuania

Start date

2008-05-20

End date

2008-05-23

ISBN-13

9789955282839

Language

eng

Publication classification

E1.1 Full written paper - refereed

Editor/Contributor(s)

Sakalauskas L, Weber GW

Title of proceedings

EUROPT 2008 : Continuous optimization and knowledge based technologies : Proceedings of the 20th International Conference and EURO Mini Conference

Event

European Association of Operational Research Societies. Conference (20th : 2008 : Neringa, Lithuania)

Publisher

[Vilnius Gediminas Technical University]

Place of publication

[Vilnius, Lithuania]

Series

European Association of Operational Research Societies Conference

Usage metrics

    Research Publications

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC