Hamiltonian actions on the cone of positive definite matrices

DOI10.1016/j.laa.2014.07.005zbMath1305.22006OpenAlexW2041298471MaRDI QIDQ405922

Yongdo Lim

Publication date: 8 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.07.005

zbMATH Keywords

Hamiltonianpositive definite matrixpositive linear mapThompson metricLie-Trotter formulaLyapunov and Stein operator

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) General properties and structure of real Lie groups (22E15)

Related Items (1)

Smooth dependence of fixed points of Hamiltonians

Cites Work

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• Extensions of Jentzsch's Theorem
• A Birkhoff Contraction Formula with Applications to Riccati Equations
• Hilbert’s projective metric and iterated nonlinear maps
• Birkhoff formula for conformal compressions of symmetric cones
• On Certain Contraction Mappings in a Partially Ordered Vector Space

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