Lie-Trotter means of positive definite operators
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Publication:2402452
DOI10.1016/j.laa.2017.06.009zbMath1492.47027OpenAlexW2623796484WikidataQ115344385 ScholiaQ115344385MaRDI QIDQ2402452
Publication date: 7 September 2017
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2017.06.009
geometric meaninductive meanLie-Trotter formulaspectral geometric meanarithmetic-geometric-harmonic mean inequalities
Related Items (6)
Bounds for the Wasserstein mean with applications to the Lie-Trotter mean ⋮ Mixture and interpolation of the parameterized ordered means ⋮ Logarithmic mean of positive invertible operators ⋮ Weak log-majorization and inequalities of power means ⋮ Parameterized Wasserstein means ⋮ VARIANTS OF ANDO–HIAI TYPE INEQUALITIES FOR DEFORMED MEANS AND APPLICATIONS
Cites Work
- Unnamed Item
- Regular operator mappings and multivariate geometric means
- An approach to the log-Euclidean mean via the Karcher mean on symmetric cones
- The matrix geometric mean of parameterized, weighted arithmetic and harmonic means
- The Golden-Thompson trace inequality is complemented
- Convergence of logarithmic trace inequalities via generalized Lie--Trotter formulae
- Geometric means
- An extended Lie--Trotter formula and its applications
- Karcher means and Karcher equations of positive definite operators
- Very Basic Lie Theory
- An effective matrix geometric mean satisfying the Ando–Li–Mathias properties
- Geometric Means in a Novel Vector Space Structure on Symmetric Positive‐Definite Matrices
- A new positive definite geometric mean of two positive definite matrices
- A fixed point mean approximation to the Cartan barycenter of positive definite matrices
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