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

被引：13
|
作者：
Jog, CS [1 ]
机构：
[1] Indian Inst Sci, Dept Mech Engn, Bangalore 560012, Karnataka, India
来源：
JOURNAL OF ELASTICITY | 2002年 / 66卷 / 02期
关键词：
polar decomposition; square roots of tensors; explicit determination;
D O I：
10.1023/A:1021253906202
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
引用
收藏
页码：159 / 169
页数：11
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