Revisit on spectral geometric mean

DOI10.1080/03081087.2023.2171353arXiv2208.12407MaRDI QIDQ6201014

Sejong Kim, Luyining Gan

Publication date: 25 March 2024

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

Full work available at URL: https://arxiv.org/abs/2208.12407

zbMATH Keywords

positive definite matrixspectral geometric meaninvariant tolerance relationmetric geometric mean

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Global Riemannian geometry, including pinching (53C20) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

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• Inequalities: theory of majorization and its applications
• A new positive definite geometric mean of two positive definite matrices

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