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- W2682995091 abstract "We analyze the so-called generalized polar decomposition determined by an involutiveautomorphism in a Lie group. This concept generalizes the well known factorization of a matrix as the product of a positive semidefinite matrix and an orthogonal matrix in linear algebra. We provide a different constructive proof of the existence of such a decomposition in a neighborhood of the identity and obtain several explicit bounds on the convergence domain of the series defined each factor." @default.
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- W2682995091 date "2010-01-01" @default.
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- W2682995091 title "On the convergence of generalized polar decompositions in Lie groups" @default.
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