摘要
本文指出了正定矩阵的方幂一般不是正定矩阵,并且给出了正定矩阵2~k次方幂为正定矩阵的一个充要条件。
This paper point out the Matrix Power of Positive Definite Matrix generally isnt. Positive Definite Matrix and it also provide us the full and essential condition when 2k times Matrix Power of Positive Definite Matrix will be Positive Definite Matrix.
关键词
正定矩阵
矩阵方幂
实对称矩阵
实反对称矩阵
Positive Definite Matrix
Matrix Power
Real Symmetric Matrix
Real skew symmetric Matrix