摘要
对正定、半正定矩阵在欧氏空间和酉空间里进行对比,目的是为了更好地了解正定、半正定矩阵在不同数域的性质,并且给出在复数域上的严格证明.
The comparison of positive definite matrix and positive semi-definite matrix respectively in Euclidean space and the unitary space is given to understand the characters of them in above spaces.The strict proofs in the complex field are given.
基金
辽宁省自然科学基金资助项目(20060815)
关键词
正定矩阵
半正定矩阵
欧氏空间
酉空间
可逆矩阵
positive definite matrix
positive semi-definite matrix
Euclidean space
unitary space
invertible matrix
