Extreme rays for cones of Hermitian matrix functions that are non-negative on the positive semi-definite matrices

DOI10.1016/S0024-3795(98)10240-9zbMath0974.15018MaRDI QIDQ1300856

Thomas H. Pate

Publication date: 12 December 2001

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

zbMATH Keywords

conegroup algebradeterminantpermanentextremal rayspositive semidefinite matricesgeneralized matrix functionimmanentclass-functionscomplex-valued Hermitian functions

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Matrices over function rings in one or more variables (15A54)

Related Items

Extreme rays and faces for the cone of class functions non-negative on the set of Gram matrices

Cites Work

• Cones in the group algebra related to Schur's determinantal inequality
• An approach to the permanental-dominance conjecture
• Inequalities involving immanants
• A partial ordering of \({\mathbf C}S_ m\) defined by the generalized matrix functions
• Partitions, Irreducible Characters, and Inequalities for Generalized Matrix Functions
• Constructing symmetric nonnegative matrices
• Immanant Inequalities and Partition Node Diagrams
• Immanant Inequalities, Induced Characters, and Rank Two Partitions
• Row Appending Maps, Ψ-Functions, and Immanant Inequalities for Hermitian Positive Semi-Definite Matrices
• The Cone of Class Function Inequalities for the 4-By-4 Positive Semidefinite Matrices
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