Extremal rays and duals for cones of positive definite matrices with prescribed zeros

DOI10.1016/j.laa.2006.03.017zbMath1106.05063OpenAlexW2020871539MaRDI QIDQ855565

Gérard Letac, Hélène Massam

Publication date: 7 December 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.03.017

zbMATH Keywords

convex conemaximal cliqueschordal graphsgraphical modelspositive definite completion problemcovariance selection modelsdecomposable graphsfour cycle graphs

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (2)

Wishart distributions for decomposable graphs ⋮ Operator systems for tolerance relations on finite sets

Cites Work

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• Positive definite completions of partial Hermitian matrices
• The real positive definite completion problem for a simple cycle
• Estimation and testing for lattice conditional independence models on Euclidean Jordan algebras
• The real positive definite completion problem: cycle completability
• Matrix inequalities

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