Procrustes problems in Riemannian manifolds of positive definite matrices

DOI10.1016/j.laa.2018.11.009zbMath1404.15025OpenAlexW2901883004WikidataQ115344323 ScholiaQ115344323MaRDI QIDQ1713327

Rajendra Bhatia, Marco Congedo

Publication date: 24 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.11.009

zbMATH Keywords

positive definite matricesRiemannian manifoldmatrix approximationProcrustes problem

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Positive matrices and their generalizations; cones of matrices (15B48) Linear operator approximation theory (47A58)

Related Items (2)

Local extrema for procrustes problems in the set of positive definite matrices ⋮ Optimization of quantum divergences between unitary orbits

Uses Software

• mftoolbox

Cites Work

• Unnamed Item
• On the exponential metric increasing property.
• Means of Hermitian positive-definite matrices based on the log-determinant \(\alpha\)-divergence function
• Positive definite matrices and the S-divergence
• Quantum fidelity and relative entropy between unitary orbits
• Functions of Matrices

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