Means for fixed rank PSD matrices
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Publication:782525
DOI10.1007/s43036-020-00063-9zbMath1440.15031OpenAlexW3027675275MaRDI QIDQ782525
Publication date: 27 July 2020
Published in: Advances in Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s43036-020-00063-9
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35) Operator means involving linear operators, shorted linear operators, etc. (47A64) Matrix exponential and similar functions of matrices (15A16)
Cites Work
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- Geometric mean and geodesic regression on Grassmannians
- Path of quasi-means as a geodesic
- Riemannian geometry and matrix geometric means
- Structure of Hiai-Petz parametrized geometry for positive definite matrices
- Means of positive linear operators
- Riemannian geometry of Grassmann manifolds with a view on algorithmic computation
- Differential and metrical structure of positive operators
- The relative operator entropy and the Karcher mean
- Riemannian Metric and Geometric Mean for Positive Semidefinite Matrices of Fixed Rank
- Minimality of Geodesics in Grassmann Manifolds
- The Geometry of Algorithms with Orthogonality Constraints
- A Riemannian geometry with complete geodesics for the set of positive semidefinite matrices of fixed rank
- Covariance, subspace, and intrinsic Crame/spl acute/r-Rao bounds
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space