Tropicalizing the positive semidefinite cone

DOI10.1090/S0002-9939-2014-12428-2zbMath1316.14119arXiv1309.6011MaRDI QIDQ5179372

Josephine Yu

Publication date: 19 March 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6011

zbMATH Keywords

tropical convexitypositive semidefinite conepositive semidefinite tropical quadratic formtropical positive semidefinite matrix

Mathematics Subject Classification ID

Related Items (9)

Rank functions of tropical matrices ⋮ Characterization of tropical projective quadratic plane curves in terms of the eigenvalue problem ⋮ Solving generic nonarchimedean semidefinite programs using stochastic game algorithms ⋮ Tropicalization of graph profiles ⋮ Tropical Complementarity Problems and Nash Equilibria ⋮ Mixtures of star trees and deficiency graphs ⋮ Tropical spectrahedra ⋮ Tropical totally positive matrices ⋮ Tropical planar networks

Cites Work

• Three notions of tropical rank for symmetric matrices
• Tropical secant varieties of linear spaces
• Tropical discriminants
• Tropical Polytopes and Cellular Resolutions
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