Matches in SemOpenAlex for { <https://semopenalex.org/work/W4311454448> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W4311454448 abstract "We present a generalization of the notion of neighborliness to non-polyhedral convex cones. Although a definition of neighborliness is available in the non-polyhedral case in the literature, it is fairly restrictive as it requires all the low-dimensional faces to be polyhedral. Our approach is more flexible and includes, for example, the cone of positive-semidefinite matrices as a special case (this cone is not neighborly in general). We term our generalization Terracini convexity due to its conceptual similarity with the conclusion of Terracini's lemma from algebraic geometry. Polyhedral cones are Terracini convex if and only if they are neighborly. More broadly, we derive many families of non-polyhedral Terracini convex cones based on neighborly cones, linear images of cones of positive semidefinite matrices, and derivative relaxations of Terracini convex hyperbolicity cones. As a demonstration of the utility of our framework in the non-polyhedral case, we give a characterization based on Terracini convexity of the tightness of semidefinite relaxations for certain inverse problems." @default.
- W4311454448 created "2022-12-26" @default.
- W4311454448 creator A5037774037 @default.
- W4311454448 creator A5056040198 @default.
- W4311454448 date "2020-10-02" @default.
- W4311454448 modified "2023-09-30" @default.
- W4311454448 title "Terracini Convexity" @default.
- W4311454448 doi "https://doi.org/10.48550/arxiv.2010.00805" @default.
- W4311454448 hasPublicationYear "2020" @default.
- W4311454448 type Work @default.
- W4311454448 citedByCount "0" @default.
- W4311454448 crossrefType "posted-content" @default.
- W4311454448 hasAuthorship W4311454448A5037774037 @default.
- W4311454448 hasAuthorship W4311454448A5056040198 @default.
- W4311454448 hasBestOaLocation W43114544481 @default.
- W4311454448 hasConcept C106159729 @default.
- W4311454448 hasConcept C112680207 @default.
- W4311454448 hasConcept C11413529 @default.
- W4311454448 hasConcept C114614502 @default.
- W4311454448 hasConcept C121332964 @default.
- W4311454448 hasConcept C134306372 @default.
- W4311454448 hasConcept C157972887 @default.
- W4311454448 hasConcept C158693339 @default.
- W4311454448 hasConcept C162324750 @default.
- W4311454448 hasConcept C177148314 @default.
- W4311454448 hasConcept C18903297 @default.
- W4311454448 hasConcept C202444582 @default.
- W4311454448 hasConcept C2524010 @default.
- W4311454448 hasConcept C2777759810 @default.
- W4311454448 hasConcept C28340159 @default.
- W4311454448 hasConcept C30014739 @default.
- W4311454448 hasConcept C33923547 @default.
- W4311454448 hasConcept C46757340 @default.
- W4311454448 hasConcept C49712288 @default.
- W4311454448 hasConcept C49870271 @default.
- W4311454448 hasConcept C62520636 @default.
- W4311454448 hasConcept C72134830 @default.
- W4311454448 hasConcept C86803240 @default.
- W4311454448 hasConceptScore W4311454448C106159729 @default.
- W4311454448 hasConceptScore W4311454448C112680207 @default.
- W4311454448 hasConceptScore W4311454448C11413529 @default.
- W4311454448 hasConceptScore W4311454448C114614502 @default.
- W4311454448 hasConceptScore W4311454448C121332964 @default.
- W4311454448 hasConceptScore W4311454448C134306372 @default.
- W4311454448 hasConceptScore W4311454448C157972887 @default.
- W4311454448 hasConceptScore W4311454448C158693339 @default.
- W4311454448 hasConceptScore W4311454448C162324750 @default.
- W4311454448 hasConceptScore W4311454448C177148314 @default.
- W4311454448 hasConceptScore W4311454448C18903297 @default.
- W4311454448 hasConceptScore W4311454448C202444582 @default.
- W4311454448 hasConceptScore W4311454448C2524010 @default.
- W4311454448 hasConceptScore W4311454448C2777759810 @default.
- W4311454448 hasConceptScore W4311454448C28340159 @default.
- W4311454448 hasConceptScore W4311454448C30014739 @default.
- W4311454448 hasConceptScore W4311454448C33923547 @default.
- W4311454448 hasConceptScore W4311454448C46757340 @default.
- W4311454448 hasConceptScore W4311454448C49712288 @default.
- W4311454448 hasConceptScore W4311454448C49870271 @default.
- W4311454448 hasConceptScore W4311454448C62520636 @default.
- W4311454448 hasConceptScore W4311454448C72134830 @default.
- W4311454448 hasConceptScore W4311454448C86803240 @default.
- W4311454448 hasLocation W43114544481 @default.
- W4311454448 hasOpenAccess W4311454448 @default.
- W4311454448 hasPrimaryLocation W43114544481 @default.
- W4311454448 hasRelatedWork W1974329054 @default.
- W4311454448 hasRelatedWork W2030128128 @default.
- W4311454448 hasRelatedWork W2047757139 @default.
- W4311454448 hasRelatedWork W2080359169 @default.
- W4311454448 hasRelatedWork W2120492678 @default.
- W4311454448 hasRelatedWork W2356956984 @default.
- W4311454448 hasRelatedWork W2949121814 @default.
- W4311454448 hasRelatedWork W3089409253 @default.
- W4311454448 hasRelatedWork W3125936009 @default.
- W4311454448 hasRelatedWork W4287647582 @default.
- W4311454448 isParatext "false" @default.
- W4311454448 isRetracted "false" @default.
- W4311454448 workType "article" @default.