Definite determinantal representations of multivariate polynomials

DOI10.1142/S0219498820501297zbMath1454.15011arXiv1708.09557OpenAlexW2902965052WikidataQ114614627 ScholiaQ114614627MaRDI QIDQ3303794

Papri Dey

Publication date: 4 August 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09557

zbMATH Keywords

linear matrix inequalitydeterminantal representationlinear matrix pencilssemidefinite programming problemsRZ/hyperbolic polynomials

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Semidefinite programming (90C22) Determinants, permanents, traces, other special matrix functions (15A15) Linear inequalities of matrices (15A39) Semialgebraic sets and related spaces (14P10) Matrix pencils (15A22) Numerical computation of roots of polynomial equations (65H04)

Related Items (3)

Testing hyperbolicity of real polynomials ⋮ Computing symmetric determinantal representations ⋮ Definite determinantal representations via orthostochastic matrices

Uses Software

• DeterminantalRepresentations

Cites Work

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