Weighted Karcher means on unipotent Lie groups

DOI10.1007/S43036-024-00326-9MaRDI QIDQ6611858

Jimmie Lawson

Publication date: 27 September 2024

Published in: Advances in Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Lie groupKarcher meanunipotent matrices

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Matrix exponential and similar functions of matrices (15A16)

Cites Work

• Monotonic properties of the least squares mean
• Noncommutative geometric means
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Functional calculus for sesquilinear forms and the purification map
• Geometric means
• Riemannian center of mass and mollifier smoothing
• A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
• A binomial expansion formula for weighted geometric means of unipotent matrices

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