Matches in SemOpenAlex for { <https://semopenalex.org/work/W2077953824> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2077953824 endingPage "345" @default.
- W2077953824 startingPage "339" @default.
- W2077953824 abstract "For a constrained minimization problem, the restriction of a Hessian of Lagrangian to a tangent space of the feasible set can be used to detect whether a Karush–Kuhn–Tucker point is a local minimum, maximum or saddle point of the problem. It is shown in this paper that the restriction of the Hessian to a normal space with respect to the indefinite inner product induced by the Hessian can be used to characterize a Karush–Kuhn–Tucker point for the Wolfe dual. From this result and by an inertia theorem in [S.-P. Han and O. Fujiwara, An inertia theorem and its application to nonlinear programs, manuscript March 1984], we deduce that, under a regularity condition, the Hessian is positive semidefinite if and only if the considered Karush–Kuhn–Tucker point satisfies the second order necessary condition for a local minimum point of the primal problem and, at the same time, satisfies the second order necessary condition for a local maximum point of thee dual. Similar results on the positive definiteness of the Hessian are also discussed, which strengthen some results given in [O. Fujiwara, S.-P. Han and O. L. Mangasarian, Local duality of nonlinear programs, SIAM J. Control Optim., 22 (1984) pp. 162–169], [S.-P. Han and O. L. Mangasarian, Characterization of positive definite and semidefinite matrices via quadratic programming duality, SIAM J. Alg. Disc. Meth., 5 (1984) pp. 26–32]." @default.
- W2077953824 created "2016-06-24" @default.
- W2077953824 creator A5070383146 @default.
- W2077953824 date "1986-05-01" @default.
- W2077953824 modified "2023-10-17" @default.
- W2077953824 title "On the Hessian of Lagrangian and Second Order Optimality Conditions" @default.
- W2077953824 doi "https://doi.org/10.1137/0324019" @default.
- W2077953824 hasPublicationYear "1986" @default.
- W2077953824 type Work @default.
- W2077953824 sameAs 2077953824 @default.
- W2077953824 citedByCount "6" @default.
- W2077953824 crossrefType "journal-article" @default.
- W2077953824 hasAuthorship W2077953824A5070383146 @default.
- W2077953824 hasConcept C10138342 @default.
- W2077953824 hasConcept C114614502 @default.
- W2077953824 hasConcept C121332964 @default.
- W2077953824 hasConcept C126255220 @default.
- W2077953824 hasConcept C130787639 @default.
- W2077953824 hasConcept C134306372 @default.
- W2077953824 hasConcept C158693339 @default.
- W2077953824 hasConcept C162324750 @default.
- W2077953824 hasConcept C182306322 @default.
- W2077953824 hasConcept C203616005 @default.
- W2077953824 hasConcept C2524010 @default.
- W2077953824 hasConcept C2681867 @default.
- W2077953824 hasConcept C2778023678 @default.
- W2077953824 hasConcept C28826006 @default.
- W2077953824 hasConcept C33923547 @default.
- W2077953824 hasConcept C49712288 @default.
- W2077953824 hasConcept C50454189 @default.
- W2077953824 hasConcept C62520636 @default.
- W2077953824 hasConcept C64057670 @default.
- W2077953824 hasConcept C73729460 @default.
- W2077953824 hasConcept C93779851 @default.
- W2077953824 hasConceptScore W2077953824C10138342 @default.
- W2077953824 hasConceptScore W2077953824C114614502 @default.
- W2077953824 hasConceptScore W2077953824C121332964 @default.
- W2077953824 hasConceptScore W2077953824C126255220 @default.
- W2077953824 hasConceptScore W2077953824C130787639 @default.
- W2077953824 hasConceptScore W2077953824C134306372 @default.
- W2077953824 hasConceptScore W2077953824C158693339 @default.
- W2077953824 hasConceptScore W2077953824C162324750 @default.
- W2077953824 hasConceptScore W2077953824C182306322 @default.
- W2077953824 hasConceptScore W2077953824C203616005 @default.
- W2077953824 hasConceptScore W2077953824C2524010 @default.
- W2077953824 hasConceptScore W2077953824C2681867 @default.
- W2077953824 hasConceptScore W2077953824C2778023678 @default.
- W2077953824 hasConceptScore W2077953824C28826006 @default.
- W2077953824 hasConceptScore W2077953824C33923547 @default.
- W2077953824 hasConceptScore W2077953824C49712288 @default.
- W2077953824 hasConceptScore W2077953824C50454189 @default.
- W2077953824 hasConceptScore W2077953824C62520636 @default.
- W2077953824 hasConceptScore W2077953824C64057670 @default.
- W2077953824 hasConceptScore W2077953824C73729460 @default.
- W2077953824 hasConceptScore W2077953824C93779851 @default.
- W2077953824 hasIssue "3" @default.
- W2077953824 hasLocation W20779538241 @default.
- W2077953824 hasOpenAccess W2077953824 @default.
- W2077953824 hasPrimaryLocation W20779538241 @default.
- W2077953824 hasRelatedWork W1580352598 @default.
- W2077953824 hasRelatedWork W1965731860 @default.
- W2077953824 hasRelatedWork W1980918702 @default.
- W2077953824 hasRelatedWork W2036698238 @default.
- W2077953824 hasRelatedWork W2054913407 @default.
- W2077953824 hasRelatedWork W2077953824 @default.
- W2077953824 hasRelatedWork W2095374904 @default.
- W2077953824 hasRelatedWork W2333431385 @default.
- W2077953824 hasRelatedWork W4224760696 @default.
- W2077953824 hasRelatedWork W4241063568 @default.
- W2077953824 hasVolume "24" @default.
- W2077953824 isParatext "false" @default.
- W2077953824 isRetracted "false" @default.
- W2077953824 magId "2077953824" @default.
- W2077953824 workType "article" @default.