Matches in SemOpenAlex for { <https://semopenalex.org/work/W4376159478> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4376159478 abstract "We study the tropical analogue of the notion of polar of a cone, working over the semiring of tropical numbers with signs. We characterize the cones which arise as polars of sets of tropically nonnegative vectors by an invariance property with respect to a tropical analogue of Fourier-Motzkin elimination. We also relate tropical polars with images by the nonarchimedean valuation of classical polars over real closed nonarchimedean fields and show, in particular, that for semi-algebraic sets over such fields, the operation of taking the polar commutes with the operation of signed valuation (keeping track both of the nonarchimedean valuation and sign). We apply these results to characterize images by the signed valuation of classical cones of matrices, including the cones of positive semidefinite matrices, completely positive matrices, completely positive semidefinite matrices, and their polars, including the cone of co-positive matrices, showing that hierarchies of classical cones collapse under tropicalization. We finally discuss an application of these ideas to optimization with signed tropical numbers." @default.
- W4376159478 created "2023-05-12" @default.
- W4376159478 creator A5043349960 @default.
- W4376159478 creator A5078804236 @default.
- W4376159478 creator A5082671255 @default.
- W4376159478 creator A5089577044 @default.
- W4376159478 date "2023-05-09" @default.
- W4376159478 modified "2023-10-18" @default.
- W4376159478 title "Signed tropicalization of polar cones" @default.
- W4376159478 doi "https://doi.org/10.48550/arxiv.2305.05637" @default.
- W4376159478 hasPublicationYear "2023" @default.
- W4376159478 type Work @default.
- W4376159478 citedByCount "0" @default.
- W4376159478 crossrefType "posted-content" @default.
- W4376159478 hasAuthorship W4376159478A5043349960 @default.
- W4376159478 hasAuthorship W4376159478A5078804236 @default.
- W4376159478 hasAuthorship W4376159478A5082671255 @default.
- W4376159478 hasAuthorship W4376159478A5089577044 @default.
- W4376159478 hasBestOaLocation W43761594781 @default.
- W4376159478 hasConcept C10138342 @default.
- W4376159478 hasConcept C11413529 @default.
- W4376159478 hasConcept C121332964 @default.
- W4376159478 hasConcept C1276947 @default.
- W4376159478 hasConcept C134306372 @default.
- W4376159478 hasConcept C158693339 @default.
- W4376159478 hasConcept C162324750 @default.
- W4376159478 hasConcept C186027771 @default.
- W4376159478 hasConcept C202444582 @default.
- W4376159478 hasConcept C2524010 @default.
- W4376159478 hasConcept C28826006 @default.
- W4376159478 hasConcept C29705727 @default.
- W4376159478 hasConcept C30014739 @default.
- W4376159478 hasConcept C33923547 @default.
- W4376159478 hasConcept C40069579 @default.
- W4376159478 hasConcept C49712288 @default.
- W4376159478 hasConcept C62520636 @default.
- W4376159478 hasConcept C9376300 @default.
- W4376159478 hasConceptScore W4376159478C10138342 @default.
- W4376159478 hasConceptScore W4376159478C11413529 @default.
- W4376159478 hasConceptScore W4376159478C121332964 @default.
- W4376159478 hasConceptScore W4376159478C1276947 @default.
- W4376159478 hasConceptScore W4376159478C134306372 @default.
- W4376159478 hasConceptScore W4376159478C158693339 @default.
- W4376159478 hasConceptScore W4376159478C162324750 @default.
- W4376159478 hasConceptScore W4376159478C186027771 @default.
- W4376159478 hasConceptScore W4376159478C202444582 @default.
- W4376159478 hasConceptScore W4376159478C2524010 @default.
- W4376159478 hasConceptScore W4376159478C28826006 @default.
- W4376159478 hasConceptScore W4376159478C29705727 @default.
- W4376159478 hasConceptScore W4376159478C30014739 @default.
- W4376159478 hasConceptScore W4376159478C33923547 @default.
- W4376159478 hasConceptScore W4376159478C40069579 @default.
- W4376159478 hasConceptScore W4376159478C49712288 @default.
- W4376159478 hasConceptScore W4376159478C62520636 @default.
- W4376159478 hasConceptScore W4376159478C9376300 @default.
- W4376159478 hasLocation W43761594781 @default.
- W4376159478 hasOpenAccess W4376159478 @default.
- W4376159478 hasPrimaryLocation W43761594781 @default.
- W4376159478 hasRelatedWork W1503871956 @default.
- W4376159478 hasRelatedWork W1964732407 @default.
- W4376159478 hasRelatedWork W2058040513 @default.
- W4376159478 hasRelatedWork W2071210172 @default.
- W4376159478 hasRelatedWork W2092011617 @default.
- W4376159478 hasRelatedWork W2122837848 @default.
- W4376159478 hasRelatedWork W2392528285 @default.
- W4376159478 hasRelatedWork W4223579399 @default.
- W4376159478 hasRelatedWork W4244463837 @default.
- W4376159478 hasRelatedWork W2526111109 @default.
- W4376159478 isParatext "false" @default.
- W4376159478 isRetracted "false" @default.
- W4376159478 workType "article" @default.