Factorizations and geometric means of positive definite matrices

DOI10.1016/j.laa.2012.05.039zbMath1251.15019OpenAlexW1987381557WikidataQ114152382 ScholiaQ114152382MaRDI QIDQ448363

Yongdo Lim

Publication date: 6 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.05.039

zbMATH Keywords

conegeometric meanHadamard spacepositive definite matrixFactorizationHermitian unitary matrixspectral geometric mean

Mathematics Subject Classification ID

Factorization of matrices (15A23) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Non-Archimedean analysis (26E30) Orthogonal matrices (15B10)

Related Items (7)

Optimization of quantum divergences between unitary orbits ⋮ Inequalities and limits of weighted spectral geometric mean ⋮ Revisit on spectral geometric mean ⋮ On two geometric means and sum of adjoint orbits ⋮ Characterization of solution sets of convex optimization problems in Riemannian manifolds ⋮ Factorizations of invertible density matrices ⋮ Weighted inductive means

Uses Software

• Matrix Means Toolbox

Cites Work

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