About: Solving Polynomial Systems Using a Modified Line Search Approach

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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 to re-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 problem into a multi-objective optimization problem. Empirical results reveal that the proposed approach is able to deal with high dimensional equations systems very effectively. 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 to re-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 problem into a multi-objective optimization problem. Empirical results reveal that the proposed approach is able to deal with high dimensional equations systems very effectively. (en)
Title	Solving Polynomial Systems Using a Modified Line Search Approach Solving Polynomial Systems Using a Modified Line Search Approach (en)
skos:prefLabel	Solving Polynomial Systems Using a Modified Line Search Approach Solving Polynomial Systems Using a Modified Line Search Approach (en)
skos:notation	RIV/61989100:27240/12:86084532!RIV13-MSM-27240___
http://linked.open...avai/predkladatel	Fakulta elektrotechniky a informatiky
http://linked.open...avai/riv/aktivita	S
http://linked.open...avai/riv/aktivity	S
http://linked.open...iv/cisloPeriodika	1B
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Snášel, Václav Abraham Padath, Ajith
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / Fakulta elektrotechniky a informatiky
http://linked.open...dnocenehoVysledku	169167
http://linked.open...ai/riv/idVysledku	RIV/61989100:27240/12:86084532
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	RN; OPTIMIZATION; NONLINEAR EQUATIONS; DIMENSION-REDUCING METHOD (en)
http://linked.open.../riv/klicoveSlovo	DIMENSION-REDUCING METHOD NONLINEAR EQUATIONS RN OPTIMIZATION
http://linked.open...odStatuVydavatele	JP - Japonsko
http://linked.open...ontrolniKodProRIV	[E43921B8482B]
http://linked.open...i/riv/nazevZdroje	International journal of innovative computing, information and control
http://linked.open...in/vavai/riv/obor	IN
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	8
http://linked.open...iv/tvurceVysledku	Abraham Padath, Ajith Snášel, Václav Grosan, Crina
http://linked.open...ain/vavai/riv/wos	000299648400001
issn	1349-4198
number of pages	27 (xsd:int)
http://localhost/t...ganizacniJednotka	27240
is http://linked.open...avai/riv/vysledek of	Solving Polynomial Systems Using a Modified Line Search Approach

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