A direct proof of uniqueness of square-root of a positive semi-definite tensor

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A direct proof of uniqueness of square-root of a positive semi-definite tensor

Understanding of the basic properties of the positive semi-definite tensor is a prerequisite for its extensive applications in theoretical and practical fields,especially for its square-root.Uniqueness of the square-root of a positive semi-definite tensor is proven in this paper without resorting to the notion of eigenvalues,eigenvectors and the spectral decomposition of the second-order symmetric tensor.

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作 者: Yue SHAO Cun-jing L(U)  
作者单位:Fracture Mechanics Laboratory,Department of Engineering Mechanics,School of Aerospace,Tsinghua University,Beijing 100084,P.R.China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2009 30(6) 
分类号:O34 O29 
关键词:positive semi-definite tensor   second-order tensor   uniqueness   decomposition  
机标关键词:positivespectral decompositionbasic propertiesUnderstandingespeciallypracticalpaper 
基金项目: 
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