Solving Polynomial Systems Using a Modified Line Search Approach

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F12%3A86084532" target="_blank" >RIV/61989100:27240/12:86084532 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Solving Polynomial Systems Using a Modified Line Search Approach
Original language description
This paper proposes a modified line search technique for solving systems of complex nonlinear equations. Line search is a widely used iterative global search method. Since optimization strategies have been (and continue to be) successfully used for solving systems of nonlinear equations, the system is reduced to a one-dimensional equation system for optimization purpose. The proposed line search procedure incorporates a re-start technique, which makes use of derivatives to reduce the search space and tore-generate thereafter the starting points in between the new ranges. Several well known applications such as interval arithmetic benchmark, kinematics, neuropsychology, combustion, chemical equilibrium and economics application are considered for testing the performances of the proposed approach. To validate the strength of the proposed approach, systems having between 5 and 20 equations are considered. Results are compared with an evolutionary algorithm approach, which transforms the
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
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Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
International journal of innovative computing, information and control
ISSN
1349-4198
e-ISSN
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Volume of the periodical
8
Issue of the periodical within the volume
1B
Country of publishing house
JP - JAPAN
Number of pages
27
Pages from-to
501-526
UT code for WoS article
000299648400001
EID of the result in the Scopus database
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