FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100894617> ?p ?o ?g. }

• W3100894617 endingPage "106610" @default.
• W3100894617 startingPage "106610" @default.
• W3100894617 abstract "Given a proper cone K⊆Rn, a multivariate polynomial f∈C[z]=C[z1,…,zn] is called K-stable if it does not have a root whose vector of the imaginary parts is contained in the interior of K. If K is the non-negative orthant, then K-stability specializes to the usual notion of stability of polynomials. We study conditions and certificates for the K-stability of a given polynomial f, especially for the case of determinantal polynomials as well as for quadratic polynomials. A particular focus is on psd-stability. For cones K with a spectrahedral representation, we construct a semidefinite feasibility problem, which, in the case of feasibility, certifies K-stability of f. This reduction to a semidefinite problem builds upon techniques from the connection of containment of spectrahedra and positive maps. In the case of psd-stability, if the criterion is satisfied, we can explicitly construct a determinantal representation of the given polynomial. We also show that under certain conditions, for a K-stable polynomial f, the criterion is at least fulfilled for some scaled version of K." @default.
• W3100894617 created "2020-11-23" @default.
• W3100894617 creator A5028720104 @default.
• W3100894617 creator A5068105586 @default.
• W3100894617 creator A5070609801 @default.
• W3100894617 date "2021-07-01" @default.
• W3100894617 modified "2023-10-17" @default.
• W3100894617 title "Conic stability of polynomials and positive maps" @default.
• W3100894617 cites W1596891174 @default.
• W3100894617 cites W1602682960 @default.
• W3100894617 cites W1987626366 @default.
• W3100894617 cites W1989462249 @default.
• W3100894617 cites W2008095352 @default.
• W3100894617 cites W2015734571 @default.
• W3100894617 cites W2025121098 @default.
• W3100894617 cites W2025202934 @default.
• W3100894617 cites W2063191289 @default.
• W3100894617 cites W2095087473 @default.
• W3100894617 cites W2148195034 @default.
• W3100894617 cites W2160923591 @default.
• W3100894617 cites W2912522929 @default.
• W3100894617 cites W2962695108 @default.
• W3100894617 cites W2962698759 @default.
• W3100894617 cites W2962993525 @default.
• W3100894617 cites W2963034993 @default.
• W3100894617 cites W2963247251 @default.
• W3100894617 cites W2963622396 @default.
• W3100894617 cites W2963628544 @default.
• W3100894617 cites W3036257878 @default.
• W3100894617 cites W3101284536 @default.
• W3100894617 cites W3102549332 @default.
• W3100894617 cites W3104489477 @default.
• W3100894617 cites W3106307051 @default.
• W3100894617 cites W3106367349 @default.
• W3100894617 cites W3106417306 @default.
• W3100894617 cites W4205350838 @default.
• W3100894617 cites W4230348051 @default.
• W3100894617 cites W2962798814 @default.
• W3100894617 doi "https://doi.org/10.1016/j.jpaa.2020.106610" @default.
• W3100894617 hasPublicationYear "2021" @default.
• W3100894617 type Work @default.
• W3100894617 sameAs 3100894617 @default.
• W3100894617 citedByCount "2" @default.
• W3100894617 countsByYear W31008946172023 @default.
• W3100894617 crossrefType "journal-article" @default.
• W3100894617 hasAuthorship W3100894617A5028720104 @default.
• W3100894617 hasAuthorship W3100894617A5068105586 @default.
• W3100894617 hasAuthorship W3100894617A5070609801 @default.
• W3100894617 hasBestOaLocation W31008946172 @default.
• W3100894617 hasConcept C108598597 @default.
• W3100894617 hasConcept C112972136 @default.
• W3100894617 hasConcept C114614502 @default.
• W3100894617 hasConcept C118615104 @default.
• W3100894617 hasConcept C119857082 @default.
• W3100894617 hasConcept C121332964 @default.
• W3100894617 hasConcept C129844170 @default.
• W3100894617 hasConcept C134306372 @default.
• W3100894617 hasConcept C158693339 @default.
• W3100894617 hasConcept C17744445 @default.
• W3100894617 hasConcept C199539241 @default.
• W3100894617 hasConcept C202444582 @default.
• W3100894617 hasConcept C2524010 @default.
• W3100894617 hasConcept C2776359362 @default.
• W3100894617 hasConcept C2780016784 @default.
• W3100894617 hasConcept C33923547 @default.
• W3100894617 hasConcept C41008148 @default.
• W3100894617 hasConcept C49712288 @default.
• W3100894617 hasConcept C62520636 @default.
• W3100894617 hasConcept C90119067 @default.
• W3100894617 hasConcept C94625758 @default.
• W3100894617 hasConceptScore W3100894617C108598597 @default.
• W3100894617 hasConceptScore W3100894617C112972136 @default.
• W3100894617 hasConceptScore W3100894617C114614502 @default.
• W3100894617 hasConceptScore W3100894617C118615104 @default.
• W3100894617 hasConceptScore W3100894617C119857082 @default.
• W3100894617 hasConceptScore W3100894617C121332964 @default.
• W3100894617 hasConceptScore W3100894617C129844170 @default.
• W3100894617 hasConceptScore W3100894617C134306372 @default.
• W3100894617 hasConceptScore W3100894617C158693339 @default.
• W3100894617 hasConceptScore W3100894617C17744445 @default.
• W3100894617 hasConceptScore W3100894617C199539241 @default.
• W3100894617 hasConceptScore W3100894617C202444582 @default.
• W3100894617 hasConceptScore W3100894617C2524010 @default.
• W3100894617 hasConceptScore W3100894617C2776359362 @default.
• W3100894617 hasConceptScore W3100894617C2780016784 @default.
• W3100894617 hasConceptScore W3100894617C33923547 @default.
• W3100894617 hasConceptScore W3100894617C41008148 @default.
• W3100894617 hasConceptScore W3100894617C49712288 @default.
• W3100894617 hasConceptScore W3100894617C62520636 @default.
• W3100894617 hasConceptScore W3100894617C90119067 @default.
• W3100894617 hasConceptScore W3100894617C94625758 @default.
• W3100894617 hasFunder F4320320879 @default.
• W3100894617 hasIssue "7" @default.
• W3100894617 hasLocation W31008946171 @default.
• W3100894617 hasLocation W31008946172 @default.
• W3100894617 hasOpenAccess W3100894617 @default.
• W3100894617 hasPrimaryLocation W31008946171 @default.
• W3100894617 hasRelatedWork W1987762056 @default.

• next