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Real square roots of matrices: differential properties in semi-simple, symmetric and orthogonal cases - MaRDI portal

Real square roots of matrices: differential properties in semi-simple, symmetric and orthogonal cases

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Publication:4983712

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zbMath1464.15013arXiv2010.15609MaRDI QIDQ4983712

Donato Pertici, Alberto Dolcetti

Publication date: 26 April 2021

Full work available at URL: https://arxiv.org/abs/2010.15609

zbMATH Keywords

homogeneous space symmetric matrix orthogonal matrix trace metric square root matrix semi-simple matrix totally geodesic semi-Riemannian submanifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Matrix equations and identities (15A24) Matrix exponential and similar functions of matrices (15A16) Orthogonal matrices (15B10)

Related Items (2)

Real logarithms of semi-simple matrices ⋮ The full group of isometries of some compact Lie groups endowed with a bi-invariant metric

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