Riemannian metrics on positive definite matrices related to means

Linear Algebra and Its Applications

Volumn 430, Issue 11-12, 2009, Pages 3105-3130

  Hiai, Fumio ^a   Petz, Dénes ^b  

^a TOHOKU UNIVERSITY   (Japan)

^b Institute of Mathematics   (Hungary)

Author keywords

Congruence invariant metric; Divided difference; Fr chet derivative; Geodesic curve; Geodesic distance; Geometric mean; Logarithmic mean; Positive definite matrix; Quantum Fisher information; Quantum skew information; Riemannian metric; Symmetric homogeneous mean

Indexed keywords

CONGRUENCE-INVARIANT METRIC; DIVIDED DIFFERENCE; GEODESIC CURVE; GEODESIC DISTANCE; GEOMETRIC MEAN; LOGARITHMIC MEAN; POSITIVE DEFINITE MATRIX; QUANTUM FISHER INFORMATION; QUANTUM SKEW INFORMATION; RIEMANNIAN METRIC; SYMMETRIC HOMOGENEOUS MEAN;

COMPUTATIONAL FLUID DYNAMICS; GEODESY; IMAGE SEGMENTATION;

FISHER INFORMATION MATRIX;

EID: 64649091240     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2009.01.025     Document Type: Article

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