The Karcher mean of three variables and quadric surfaces

DOI10.1016/j.jmaa.2020.124321OpenAlexW3037269677MaRDI QIDQ776929

Yongdo Lim, Hayoung Choi, Eduardo Ghiglioni

Publication date: 13 July 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124321

zbMATH Keywords

positive definite matrixRiemannian trace metricquadric surfaceKarcher symmetric matrixNussbaum's minimal geodesicRiemannian and Karcher mean

Mathematics Subject Classification ID

Operator means involving linear operators, shorted linear operators, etc. (47A64) Partial differential equations (35-XX) Linear and multilinear algebra; matrix theory (15-XX)

Related Items (10)

Hyperbolicity of the Karcher mean ⋮ Two-variable Wasserstein means of positive definite operators ⋮ The Ando-Li-Mathias geometric mean and infinite product of hollow matrices ⋮ Revisit on spectral geometric mean ⋮ The Karcher mean of linearly independent triples ⋮ Invariant tolerance relations on positive definite matrices ⋮ Analyticity of the Karcher mean coefficient maps ⋮ From hyperbolic geometry to \(2\times 2\) Hermitian matrices and back ⋮ Symmetric matrix means ⋮ The Karcher mean of equilateral triangles

Uses Software

• Matrix Means Toolbox

Cites Work

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