Extreme Points in Convex Sets of Symmetric Matrices

DOI10.2307/2045852zbMath0596.52008OpenAlexW4232452965MaRDI QIDQ3729582

Bernard Ycart

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045852

zbMATH Keywords

extreme pointssymmetric matricescorrelation matrices

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Positive matrices and their generalizations; cones of matrices (15B48) Random matrices (algebraic aspects) (15B52) Algebraic systems of matrices (15A30) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

A closed-form universal trivariate pair-copula ⋮ Copulas with Prescribed Correlation Matrix ⋮ Optimal ℓ 1 Rank One Matrix Decomposition ⋮ Determinantal sampling designs ⋮ Compatible matrices of Spearman's rank correlation ⋮ Admissible Bernoulli correlations

Cites Work

• Extrémales du cône des matrices de type non négatif, à coefficients positifs ou nuls
• Cones of diagonally dominant matrices
• Extreme copositive quadratic forms
• Extreme copositive quadratic forms. II
• Cones, matrices and mathematical programming
• Extreme copositive quadratic forms
• Convex Analysis
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