\(\varGamma \)-commuting triples of positive definite matrices and midpoint equations on unitary matrices

DOI10.1016/j.laa.2007.11.005zbMath1140.15011OpenAlexW2058980128MaRDI QIDQ2479516

Yongdo Lim, Jimmie D. Lawson

Publication date: 26 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.11.005

zbMATH Keywords

unitary groupgeometric meanpositive definite matrixgeodesic submanifoldunitary matrixspectral mean\(\Gamma\)-commuting triplemidpoint equation

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30)

Related Items

Geometric mean block matrices, Factorizations and geometric means of positive definite matrices, Symmetric \(\Gamma \)-submanifolds of positive definite matrices and the Sylvester equation \(XM=NX\)

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