Extreme points of a convex subset of the cone of positive semidefinite matrices

DOI10.1007/BF03220000zbMath0426.46008MaRDI QIDQ1136038

Raphael Loewy

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163478

zbMATH Keywords

Hermitian matricesextreme pointscone of positive semidefinite matricesconvex subset

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30) Convex sets in topological linear spaces; Choquet theory (46A55) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items

On a positive semidefinite relaxation of the cut polytope, A connection between positive semidefinite and Euclidean distance matrix completion problems, Null spaces of correlation matrices, An analytic approach to a permanent conjecture, Extremal correlation matrices, A note on infinite extreme correlation matrices, The real positive semidefinite completion problem for series-parallel graphs, Special classes of positive and completely positive maps, Self-dual maps and symmetric bistochastic matrices, Positive semidefinite quadratic forms on unitary matrices, On extremal correlations

Cites Work

• The lattice of faces of a finite dimensional cone
• Convex Analysis