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.
Real square roots of matrices: differential properties in semi-simple, symmetric and orthogonal cases / Alberto, Dolcetti; Donato, Pertici. - In: RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA. - ISSN 0035-6298. - STAMPA. - 11:(2020), pp. 315-333.
Real square roots of matrices: differential properties in semi-simple, symmetric and orthogonal cases
Alberto, Dolcetti;Donato, Pertici
2020
Abstract
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.
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