FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2951444984> ?p ?o ?g. }

• W2951444984 abstract "Given a polynomial $x in {mathbb R}^n mapsto p(x)$ in $n=2$ variables, a symbolic-numerical algorithm is first described for detecting whether the connected component of the plane sublevel set ${mathcal P} = {x : p(x) geq 0}$ containing the origin is rigidly convex, or equivalently, whether it has a linear matrix inequality (LMI) representation, or equivalently, if polynomial $p(x)$ is hyperbolic with respect to the origin. The problem boils down to checking whether a univariate polynomial matrix is positive semidefinite, an optimization problem that can be solved with eigenvalue decomposition. When the variety ${mathcal C} = {x : p(x) = 0}$ is an algebraic curve of genus zero, a second algorithm based on B'ezoutians is proposed to detect whether $mathcal P$ has an LMI representation and to build such a representation from a rational parametrization of $mathcal C$. Finally, some extensions to positive genus curves and to the case $n>2$ are mentioned." @default.
• W2951444984 created "2019-06-27" @default.
• W2951444984 creator A5074893139 @default.
• W2951444984 date "2008-01-23" @default.
• W2951444984 modified "2023-09-30" @default.
• W2951444984 title "Detecting rigid convexity of bivariate polynomials" @default.
• W2951444984 cites W141170012 @default.
• W2951444984 cites W1503221585 @default.
• W2951444984 cites W1509911154 @default.
• W2951444984 cites W1574151794 @default.
• W2951444984 cites W1632601927 @default.
• W2951444984 cites W1973507931 @default.
• W2951444984 cites W1983029299 @default.
• W2951444984 cites W1994420090 @default.
• W2951444984 cites W1997454240 @default.
• W2951444984 cites W2001371760 @default.
• W2951444984 cites W2002357820 @default.
• W2951444984 cites W2005229894 @default.
• W2951444984 cites W2006791953 @default.
• W2951444984 cites W2017794685 @default.
• W2951444984 cites W2023723226 @default.
• W2951444984 cites W2024340911 @default.
• W2951444984 cites W2025202934 @default.
• W2951444984 cites W2026893809 @default.
• W2951444984 cites W2027569915 @default.
• W2951444984 cites W2048590331 @default.
• W2951444984 cites W2055481061 @default.
• W2951444984 cites W2055981241 @default.
• W2951444984 cites W2058299352 @default.
• W2951444984 cites W2063191289 @default.
• W2951444984 cites W2068811598 @default.
• W2951444984 cites W2149814879 @default.
• W2951444984 cites W2796936718 @default.
• W2951444984 cites W3037696396 @default.
• W2951444984 cites W622930292 @default.
• W2951444984 hasPublicationYear "2008" @default.
• W2951444984 type Work @default.
• W2951444984 sameAs 2951444984 @default.
• W2951444984 citedByCount "0" @default.
• W2951444984 crossrefType "posted-content" @default.
• W2951444984 hasAuthorship W2951444984A5074893139 @default.
• W2951444984 hasConcept C101044782 @default.
• W2951444984 hasConcept C101901036 @default.
• W2951444984 hasConcept C106159729 @default.
• W2951444984 hasConcept C106487976 @default.
• W2951444984 hasConcept C114614502 @default.
• W2951444984 hasConcept C118615104 @default.
• W2951444984 hasConcept C121332964 @default.
• W2951444984 hasConcept C126255220 @default.
• W2951444984 hasConcept C126352355 @default.
• W2951444984 hasConcept C134306372 @default.
• W2951444984 hasConcept C157369684 @default.
• W2951444984 hasConcept C158693339 @default.
• W2951444984 hasConcept C159985019 @default.
• W2951444984 hasConcept C162324750 @default.
• W2951444984 hasConcept C17744445 @default.
• W2951444984 hasConcept C192562407 @default.
• W2951444984 hasConcept C199539241 @default.
• W2951444984 hasConcept C202444582 @default.
• W2951444984 hasConcept C207043602 @default.
• W2951444984 hasConcept C2776359362 @default.
• W2951444984 hasConcept C33923547 @default.
• W2951444984 hasConcept C59822182 @default.
• W2951444984 hasConcept C62520636 @default.
• W2951444984 hasConcept C72134830 @default.
• W2951444984 hasConcept C86803240 @default.
• W2951444984 hasConcept C90119067 @default.
• W2951444984 hasConcept C9376300 @default.
• W2951444984 hasConcept C94625758 @default.
• W2951444984 hasConceptScore W2951444984C101044782 @default.
• W2951444984 hasConceptScore W2951444984C101901036 @default.
• W2951444984 hasConceptScore W2951444984C106159729 @default.
• W2951444984 hasConceptScore W2951444984C106487976 @default.
• W2951444984 hasConceptScore W2951444984C114614502 @default.
• W2951444984 hasConceptScore W2951444984C118615104 @default.
• W2951444984 hasConceptScore W2951444984C121332964 @default.
• W2951444984 hasConceptScore W2951444984C126255220 @default.
• W2951444984 hasConceptScore W2951444984C126352355 @default.
• W2951444984 hasConceptScore W2951444984C134306372 @default.
• W2951444984 hasConceptScore W2951444984C157369684 @default.
• W2951444984 hasConceptScore W2951444984C158693339 @default.
• W2951444984 hasConceptScore W2951444984C159985019 @default.
• W2951444984 hasConceptScore W2951444984C162324750 @default.
• W2951444984 hasConceptScore W2951444984C17744445 @default.
• W2951444984 hasConceptScore W2951444984C192562407 @default.
• W2951444984 hasConceptScore W2951444984C199539241 @default.
• W2951444984 hasConceptScore W2951444984C202444582 @default.
• W2951444984 hasConceptScore W2951444984C207043602 @default.
• W2951444984 hasConceptScore W2951444984C2776359362 @default.
• W2951444984 hasConceptScore W2951444984C33923547 @default.
• W2951444984 hasConceptScore W2951444984C59822182 @default.
• W2951444984 hasConceptScore W2951444984C62520636 @default.
• W2951444984 hasConceptScore W2951444984C72134830 @default.
• W2951444984 hasConceptScore W2951444984C86803240 @default.
• W2951444984 hasConceptScore W2951444984C90119067 @default.
• W2951444984 hasConceptScore W2951444984C9376300 @default.
• W2951444984 hasConceptScore W2951444984C94625758 @default.
• W2951444984 hasLocation W29514449841 @default.
• W2951444984 hasOpenAccess W2951444984 @default.
• W2951444984 hasPrimaryLocation W29514449841 @default.

• next