Quotient Geometry with Simple Geodesics for the Manifold of Fixed-Rank Positive-Semidefinite Matrices

DOI10.1137/18M1231389zbMath1433.53064OpenAlexW2904850325WikidataQ126317278 ScholiaQ126317278MaRDI QIDQ5217101

Estelle M. Massart, Pierre-Antoine Absil

Publication date: 21 February 2020

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1231389

zbMATH Keywords

geodesicsdata fittinglow-rankpositive-semidefinite matricesRiemannian quotient manifoldRiemannian logarithm

Mathematics Subject Classification ID

Factorization of matrices (15A23) Group actions and symmetry properties (58D19) Geodesics in global differential geometry (53C22)

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Uses Software

• Manopt

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