On Tikhonov's Reciprocity Principle and Optimality Conditions in d.c. Optimization
Identifieur interne : 002288 ( Main/Exploration ); précédent : 002287; suivant : 002289On Tikhonov's Reciprocity Principle and Optimality Conditions in d.c. Optimization
Auteurs : Nguyen V. Thoai [Allemagne]Source :
- Journal of Mathematical Analysis and Applications [ 0022-247X ] ; 1998.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
Abstract
The basic idea of the reciprocity principle of Tikhonov is to construct, from a given problem, a reciprocal problem that has the same solution set as the original problem and some special structure one can employ to investigate theoretical properties as well as to develop solution methods. In this note, we prove the reciprocity principle for a pair of nonconvex optimization problems, from which some optimality conditions for d.c. optimization can be derived immediately.
Url:
DOI: 10.1006/jmaa.1998.6040
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 000769
- to stream Istex, to step Curation: 000721
- to stream Istex, to step Checkpoint: 000E59
- to stream Main, to step Merge: 002677
- to stream PascalFrancis, to step Corpus: 001098
- to stream PascalFrancis, to step Curation: 001727
- to stream PascalFrancis, to step Checkpoint: 000E82
- to stream Main, to step Merge: 002753
- to stream Main, to step Curation: 002288
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">On Tikhonov's Reciprocity Principle and Optimality Conditions in d.c. Optimization</title><author><name sortKey="Thoai, Nguyen V" sort="Thoai, Nguyen V" uniqKey="Thoai N" first="Nguyen V" last="Thoai">Nguyen V. Thoai</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:52A4B97C2243E595217D4891040A8784188CA227</idno><date when="1998" year="1998">1998</date><idno type="doi">10.1006/jmaa.1998.6040</idno><idno type="url">https://api.istex.fr/document/52A4B97C2243E595217D4891040A8784188CA227/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">000769</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000769</idno><idno type="wicri:Area/Istex/Curation">000721</idno><idno type="wicri:Area/Istex/Checkpoint">000E59</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000E59</idno><idno type="wicri:doubleKey">0022-247X:1998:Thoai N:on:tikhonov:s</idno><idno type="wicri:Area/Main/Merge">002677</idno><idno type="wicri:source">INIST</idno><idno type="RBID">Pascal:98-0512945</idno><idno type="wicri:Area/PascalFrancis/Corpus">001098</idno><idno type="wicri:Area/PascalFrancis/Curation">001727</idno><idno type="wicri:Area/PascalFrancis/Checkpoint">000E82</idno><idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">000E82</idno><idno type="wicri:doubleKey">0022-247X:1998:Thoai N:on:tikhonov:s</idno><idno type="wicri:Area/Main/Merge">002753</idno><idno type="wicri:Area/Main/Curation">002288</idno><idno type="wicri:Area/Main/Exploration">002288</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">On Tikhonov's Reciprocity Principle and Optimality Conditions in d.c. Optimization</title><author><name sortKey="Thoai, Nguyen V" sort="Thoai, Nguyen V" uniqKey="Thoai N" first="Nguyen V" last="Thoai">Nguyen V. Thoai</name><affiliation wicri:level="4"><country xml:lang="fr">Allemagne</country><wicri:regionArea>Department of Mathematics, University of Trier, D-54286, Trier</wicri:regionArea><orgName type="university">Université de Trèves</orgName><placeName><settlement type="city">Trèves (Allemagne)</settlement><region type="land" nuts="1">Rhénanie-Palatinat</region></placeName></affiliation></author></analytic><monogr></monogr><series><title level="j">Journal of Mathematical Analysis and Applications</title><title level="j" type="abbrev">YJMAA</title><idno type="ISSN">0022-247X</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="1998">1998</date><biblScope unit="volume">225</biblScope><biblScope unit="issue">2</biblScope><biblScope unit="page" from="673">673</biblScope><biblScope unit="page" to="678">678</biblScope></imprint><idno type="ISSN">0022-247X</idno></series><idno type="istex">52A4B97C2243E595217D4891040A8784188CA227</idno><idno type="DOI">10.1006/jmaa.1998.6040</idno><idno type="PII">S0022-247X(98)96040-1</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0022-247X</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Non convex programming</term><term>Optimality condition</term><term>Optimization method</term><term>Reciprocity principle</term><term>d.c. optimization</term><term>nonlinear optimization</term><term>optimality conditions</term><term>reciprocity principle</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Condition optimalité</term><term>Méthode optimisation</term><term>Principe réciprocité</term><term>Programmation non convexe</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The basic idea of the reciprocity principle of Tikhonov is to construct, from a given problem, a reciprocal problem that has the same solution set as the original problem and some special structure one can employ to investigate theoretical properties as well as to develop solution methods. In this note, we prove the reciprocity principle for a pair of nonconvex optimization problems, from which some optimality conditions for d.c. optimization can be derived immediately.</div></front></TEI><affiliations><list><country><li>Allemagne</li></country><region><li>Rhénanie-Palatinat</li></region><settlement><li>Trèves (Allemagne)</li></settlement><orgName><li>Université de Trèves</li></orgName></list><tree><country name="Allemagne"><region name="Rhénanie-Palatinat"><name sortKey="Thoai, Nguyen V" sort="Thoai, Nguyen V" uniqKey="Thoai N" first="Nguyen V" last="Thoai">Nguyen V. Thoai</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Rhénanie/explor/UnivTrevesV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 002288 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 002288 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Rhénanie
|area= UnivTrevesV1
|flux= Main
|étape= Exploration
|type= RBID
|clé= ISTEX:52A4B97C2243E595217D4891040A8784188CA227
|texte= On Tikhonov's Reciprocity Principle and Optimality Conditions in d.c. Optimization
}}
| This area was generated with Dilib version V0.6.31. |  |