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Canonical duality for solving nonconvex and nonsmooth optimization problem

Liu, Jing / Gao, David Y. / Gao, Yan

Abstract This paper presents an application of the canonical duality theory for solving a class of nonconvex and nonsmooth optimization problems. It is shown that by use of the canonical dual transformation, these difficult optimization problems in R n can be converted into a one-dimensional canonical dual problems, which can be solved to obtain all extremal points. Both global and local extremality conditions can be identified by the triality theory. Applications are illustrated.

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Canonical duality for solving nonconvex and nonsmooth optimization problem

Liu, Jing / Gao, David Y. / Gao, Yan

Abstract This paper presents an application of the canonical duality theory for solving a class of nonconvex and nonsmooth optimization problems. It is shown that by use of the canonical dual transformation, these difficult optimization problems in R n can be converted into a one-dimensional canonical dual problems, which can be solved to obtain all extremal points. Both global and local extremality conditions can be identified by the triality theory. Applications are illustrated.

Canonical duality for solving nonconvex and nonsmooth optimization problem

Liu, Jing / Gao, David Y. / Gao, Yan

Abstract This paper presents an application of the canonical duality theory for solving a class of nonconvex and nonsmooth optimization problems. It is shown that by use of the canonical dual transformation, these difficult optimization problems in R n can be converted into a one-dimensional canonical dual problems, which can be solved to obtain all extremal points. Both global and local extremality conditions can be identified by the triality theory. Applications are illustrated.

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Titel:

Canonical duality for solving nonconvex and nonsmooth optimization problem

Beteiligte:

Liu, Jing (Autor:in) / Gao, David Y. (Autor:in) / Gao, Yan (Autor:in)

Erschienen in:

Optimization and Engineering ; 10 ; 153-165

Erscheinungsdatum:

06.11.2008

Format / Umfang:

13 pages

ISSN:

1573-2924 , 1389-4420

DOI:

https://doi.org/10.1007/s11081-008-9061-3

Medientyp:

Aufsatz (Zeitschrift)

Format:

Elektronische Ressource

Sprache:

Englisch

Schlagwörter:

Canonical duality theory , Nonsmooth optimization , Global optimization Mathematics , Optimization , Engineering, general , Systems Theory, Control , Environmental Management , Operation Research/Decision Theory , Financial Engineering

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