On the explicit determination of the polar decomposition in n-dimensional vector spaces

Jog, CS (2002) On the explicit determination of the polar decomposition in n-dimensional vector spaces. In: Journal of Elasticity, 66 (2). 159-169 .

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Abstract

A method for the explicit determination of the polar decomposition (and the related problem of finding tensor square roots) when the underlying vector space dimension n is arbitrary (but finite), is proposed. The method uses the spectral resolution, and avoids the determination of eigenvectors when the tensor is invertible. For any given dimension n, an appropriately constructed van der Monde matrix is shown to play a key role in the construction of each of the component matrices (and their inverses) in the polar decomposition.

Item Type:	Journal Article
Publication:	Journal of Elasticity
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Keywords:	polar decomposition;square roots of tensors;explicit determination.
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	21 Jul 2011 06:22
Last Modified:	21 Jul 2011 06:22
URI:	http://eprints.iisc.ac.in/id/eprint/39315

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