Document Zbl 1464.15013

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Real square roots of matrices: differential properties in semi-simple, symmetric and orthogonal cases. (English) Zbl 1464.15013

Riv. Mat. Univ. Parma (N.S.) 11, No. 2, 315-333 (2020).

Summary: We study the differential and metric structures of the set of real square roots of a non-singular real matrix, under the assumption that the matrix and its square roots are semi-simple, or symmetric, or orthogonal.

Cited in 2 Documents

MSC:

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

Keywords:

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

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