On Grioli’s minimum property and its relation to Cauchy’s polar decomposition

On Grioli’s minimum property and its relation to Cauchy’s polar decomposition
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论Grioli最小性质及其与柯西极分解的关系

DOI:
10.1016/j.ijengsci.2014.02.026
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发表时间:
2013
影响因子:
6.6
通讯作者:
A. Madeo
A. Madeo
中科院分区:
工程技术1区
文献类型:
--
作者:
P. Neff;J. Lankeit;A. Madeo

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在本文中,我们重新发现格里奥利的重要工作的最优正交因子的极分解在欧氏距离框架。我们还提请注意最近获得的推广,这一最优属性的测地距离框架。
In this paper we rediscover Grioli’s important work on the optimality of the orthogonal factor in the polar decomposition in an euclidean distance framework. We also draw attention to recently obtained generalizations of this optimality property in a geodesic distance framework.