Taxonomy of polar decompositions for singular second-order tensors in R3

I. Romero; J.J. Arribas

Authors

I. Romero E.T.S. Ingenieros Industriales, Universidad Politécnica de Madrid, Spain
J.J. Arribas E.T.S. Ingenieros de Caminos, Universidad Politécnica de Madrid, Spain

Abstract

The well-known polar decomposition theorem is analyzed for the case of second-order, singular tensors on â„³. A precise analytical and geometric characterization of the split is provided for tensors of rank two and one.

Keywords:

polar decomposition, singular tensor

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Taxonomy of polar decompositions for singular second-order tensors in R³

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