摘要
引入了欧氏空间上的正定变换和半正定变换的概念,建立了与正定矩阵和半正定矩阵紧密联系的两类线性变换.说明了在标准正交基下正定变换(半正定变换)与正定矩阵(半正定矩阵)的关系,给出了它们的等价刻画,并得到了它们的其他性质.
To further study the relationship between linear transformations and matrices,the positive definite transformation and positive semi-definite transformation are introduced.The relation between the positive（semi-） definite transformation and the positive（semi-） definite matrix are given.The equivalence conditions and some properties of the positive definite transformation and positive semi-definite transformation are discussed.
出处
《西安工程大学学报》
CAS
2012年第2期251-253,共3页
Journal of Xi’an Polytechnic University
关键词
对称变换
对称矩阵
正定变换
正定矩阵
symmetric matrix
symmetric transformation
positive definite transformation
positive definite matrix
