A characterization of matrix groups that act transitively on the cone of positive definite matrices

DOI10.1016/0024-3795(94)90347-6zbMath0798.15016OpenAlexW2044312103MaRDI QIDQ1322866

Michael D. Perlman, Steen Arne Andersson

Publication date: 9 June 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90347-6

zbMATH Keywords

group algebramatrix groupcone of positive definite matrices

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30)

Related Items (1)

Conditional independence models for seemingly unrelated regressions with incomplete data

Cites Work

• Multivariate tests with incomplete data
• On the inadmissibility of step-down procedures for the Hotelling \(T^ 2\) problem
• A remark on Burnside's theorem on matrix algebras
• Admissibility of invariant tests in the general multivariate analysis of variance problem
• Invariant tests for means with covariates
• Lattice models for conditional independence in a multivariate normal distribution
• Locally and Asymptotically Minimax Tests of a Multivariate Problem
• Minimax Character of Hotelling's $T^2$ Test in the Simplest Case
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