摘要
研究半正定张量半正定方根的唯一性问题.避开了二阶张量特征值的概念和对称二阶张量谱分解定理,运用简单的预备知识,直接证明了二阶半正定张量半正定方根的唯一性.
Understanding the basic properties of the positive semi-definite tensor is prerequisite for its wide application in theoretical and practical field, especially for its square-root. The uniqueness of the square-root of a positive semi-definite tensor was proven without resorting to the notion of eigenvalues, eigenvectors and the spectral decomposition of the second-order symmetric tensor.
出处
《应用数学和力学》
CSCD
北大核心
2009年第6期663-666,共4页
Applied Mathematics and Mechanics
关键词
半正定
二阶张量
唯一性
分解
positive semi-definite tensor
second-order tensor
uniqueness
decomposition
