FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2059991805> ?p ?o ?g. }

• W2059991805 endingPage "493" @default.
• W2059991805 startingPage "467" @default.
• W2059991805 abstract "This article presents a complete set of solutions for a class of global optimization problems. These problems are directly related to numericalization of a large class of semilinear nonconvex partial differential equations in nonconvex mechanics including phase transitions, chaotic dynamics, nonlinear field theory, and superconductivity. The method used is the so-called canonical dual transformation developed recently. It is shown that, by this method, these difficult nonconvex constrained primal problems in can be converted into a one-dimensional canonical dual problem, i.e. the perfect dual formulation with zero duality gap and without any perturbation. This dual criticality condition leads to an algebraic equation which can be solved completely. Therefore, a complete set of solutions to the primal problems is obtained. The extremality of these solutions are controlled by the triality theory discovered recently [D.Y. Gao (2000). Duality Principles in Nonconvex Systems: Theory, Methods and Applications, Vol. xviii, p. 454. Kluwer Academic Publishers, Dordrecht/Boston/London.]. Several examples are illustrated including the nonconvex constrained quadratic programming. Results show that these problems can be solved completely to obtain all KKT points and global minimizers." @default.
• W2059991805 created "2016-06-24" @default.
• W2059991805 creator A5048360771 @default.
• W2059991805 date "2003-08-01" @default.
• W2059991805 modified "2023-10-15" @default.
• W2059991805 title "Perfect duality theory and complete solutions to a class of global optimization problems*" @default.
• W2059991805 cites W1508674681 @default.
• W2059991805 cites W1514382660 @default.
• W2059991805 cites W1527576767 @default.
• W2059991805 cites W1531386198 @default.
• W2059991805 cites W1578138035 @default.
• W2059991805 cites W1597673663 @default.
• W2059991805 cites W194952955 @default.
• W2059991805 cites W1981355037 @default.
• W2059991805 cites W1983775864 @default.
• W2059991805 cites W1984975542 @default.
• W2059991805 cites W1989313814 @default.
• W2059991805 cites W1996393938 @default.
• W2059991805 cites W2005343423 @default.
• W2059991805 cites W2005761373 @default.
• W2059991805 cites W2007717983 @default.
• W2059991805 cites W2057330580 @default.
• W2059991805 cites W2064646007 @default.
• W2059991805 cites W2094614658 @default.
• W2059991805 cites W2097950361 @default.
• W2059991805 cites W2146294081 @default.
• W2059991805 cites W2163913714 @default.
• W2059991805 cites W2301746362 @default.
• W2059991805 cites W2480275483 @default.
• W2059991805 cites W2519665767 @default.
• W2059991805 cites W4293820388 @default.
• W2059991805 cites W4294678829 @default.
• W2059991805 cites W93792870 @default.
• W2059991805 doi "https://doi.org/10.1080/02331930310001611501" @default.
• W2059991805 hasPublicationYear "2003" @default.
• W2059991805 type Work @default.
• W2059991805 sameAs 2059991805 @default.
• W2059991805 citedByCount "76" @default.
• W2059991805 countsByYear W20599918052012 @default.
• W2059991805 countsByYear W20599918052013 @default.
• W2059991805 countsByYear W20599918052014 @default.
• W2059991805 countsByYear W20599918052015 @default.
• W2059991805 countsByYear W20599918052016 @default.
• W2059991805 countsByYear W20599918052017 @default.
• W2059991805 countsByYear W20599918052018 @default.
• W2059991805 countsByYear W20599918052019 @default.
• W2059991805 crossrefType "journal-article" @default.
• W2059991805 hasAuthorship W2059991805A5048360771 @default.
• W2059991805 hasConcept C102144036 @default.
• W2059991805 hasConcept C112680207 @default.
• W2059991805 hasConcept C12108790 @default.
• W2059991805 hasConcept C121332964 @default.
• W2059991805 hasConcept C126255220 @default.
• W2059991805 hasConcept C137836250 @default.
• W2059991805 hasConcept C154945302 @default.
• W2059991805 hasConcept C157972887 @default.
• W2059991805 hasConcept C161520196 @default.
• W2059991805 hasConcept C202444582 @default.
• W2059991805 hasConcept C2524010 @default.
• W2059991805 hasConcept C2777212361 @default.
• W2059991805 hasConcept C2778023678 @default.
• W2059991805 hasConcept C28826006 @default.
• W2059991805 hasConcept C33923547 @default.
• W2059991805 hasConcept C41008148 @default.
• W2059991805 hasConcept C50454189 @default.
• W2059991805 hasConcept C5274546 @default.
• W2059991805 hasConcept C62520636 @default.
• W2059991805 hasConcept C83716740 @default.
• W2059991805 hasConcept C84114770 @default.
• W2059991805 hasConceptScore W2059991805C102144036 @default.
• W2059991805 hasConceptScore W2059991805C112680207 @default.
• W2059991805 hasConceptScore W2059991805C12108790 @default.
• W2059991805 hasConceptScore W2059991805C121332964 @default.
• W2059991805 hasConceptScore W2059991805C126255220 @default.
• W2059991805 hasConceptScore W2059991805C137836250 @default.
• W2059991805 hasConceptScore W2059991805C154945302 @default.
• W2059991805 hasConceptScore W2059991805C157972887 @default.
• W2059991805 hasConceptScore W2059991805C161520196 @default.
• W2059991805 hasConceptScore W2059991805C202444582 @default.
• W2059991805 hasConceptScore W2059991805C2524010 @default.
• W2059991805 hasConceptScore W2059991805C2777212361 @default.
• W2059991805 hasConceptScore W2059991805C2778023678 @default.
• W2059991805 hasConceptScore W2059991805C28826006 @default.
• W2059991805 hasConceptScore W2059991805C33923547 @default.
• W2059991805 hasConceptScore W2059991805C41008148 @default.
• W2059991805 hasConceptScore W2059991805C50454189 @default.
• W2059991805 hasConceptScore W2059991805C5274546 @default.
• W2059991805 hasConceptScore W2059991805C62520636 @default.
• W2059991805 hasConceptScore W2059991805C83716740 @default.
• W2059991805 hasConceptScore W2059991805C84114770 @default.
• W2059991805 hasIssue "4-5" @default.
• W2059991805 hasLocation W20599918051 @default.
• W2059991805 hasOpenAccess W2059991805 @default.
• W2059991805 hasPrimaryLocation W20599918051 @default.
• W2059991805 hasRelatedWork W1574412102 @default.
• W2059991805 hasRelatedWork W1964780654 @default.
• W2059991805 hasRelatedWork W2279771871 @default.
• W2059991805 hasRelatedWork W2761020024 @default.

• next