Path of quasi-means as a geodesic

DOI10.1016/j.laa.2010.09.011zbMath1208.53026OpenAlexW2047974589WikidataQ112882176 ScholiaQ112882176MaRDI QIDQ616293

Jun Ichi Fujii

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.09.011

zbMATH Keywords

positive definite matricesgeodesicFinsler geometryunitarily invariant normoperator meanquasi-arithmetic meanquasi-geometric mean

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items

Relative Operator Entropy ⋮ Preserver problems related to quasi-arithmetic means of invertible positive operators ⋮ Some complementary inequalities to Jensen's operator inequality ⋮ Means for fixed rank PSD matrices

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