Hamiltonian actions on the cone of positive definite matrices
type: Item
instance of: scholarly article
title: Hamiltonian actions on the cone of positive definite matrices
zbMATH Open document ID: 1305.22006
author: Yongdo Lim
published in: Linear Algebra and its Applications
publication date: 2014-09-08T00:00:00Z
Mathematics Subject Classification ID: 22E15
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 6340923
zbMATH Keywords: positive definite matrix
zbMATH Keywords: Hamiltonian
zbMATH Keywords: Lie-Trotter formula
zbMATH Keywords: Lyapunov and Stein operator
zbMATH Keywords: positive linear map
zbMATH Keywords: Thompson metric
MaRDI profile type: Publication
full work available at URL: j.laa.2014.07.005
OpenAlex ID: W2041298471
cites work: A note on the Lyapunov equation
cites work: Q3425149
cites work: Q4801276
cites work: Extensions of Jentzsch's Theorem
cites work: The contraction rate in Thompson's part metric of order-preserving flows on a cone -- application to generalized Riccati equations
cites work: Lie semigroups with triple decompositions
cites work: A Birkhoff Contraction Formula with Applications to Riccati Equations
cites work: A Lipschitz constant formula for vector addition in cones with applications to Stein-like equations
cites work: Nonlinear Perron-Frobenius theory
cites work: Birkhoff formula for conformal compressions of symmetric cones
cites work: Generalization of the Hilbert metric to the space of positive definite matrices
cites work: Hilbert’s projective metric and iterated nonlinear maps
cites work: Finsler structures for the part metric and Hilbert's projective metric and applications to ordinary differential equations
cites work: On Certain Contraction Mappings in a Partially Ordered Vector Space
cites work: Q4129926
DOI: 10.1016/J.LAA.2014.07.005
Recommended article: Conservative perturbations of positive definite Hamiltonian matrices
Recommended article: Q3979125
Recommended article: On deformations of Hamiltonian actions
Recommended article: Q3767470
Recommended article: Q5490237
Recommended article: Hamiltonian minimal Lagrangian cones in \(\mathbb C^m\)
Recommended article: Q4550418
Recommended article: Rigidity of Hamiltonian actions on Poisson manifolds
Recommended article: Completeness of determinantal Hamiltonian flows on the matrix affine Poisson space
Recommended article: An abstract setting for Hamiltonian actions
description: scientific article; zbMATH DE number 6340923