节点文献
复正定矩阵的一个判别法及若干性质
A Method of Judging Complex Positive Definite Matrix and Its Several Properties
【摘要】 复矩阵 A∈Cn×n称为复正定矩阵;如果对任意非零复向量 Z∈Cn,有 Re(Z*AZ)>0。本文给出复正定矩阵的一个判别法和若干性质。
【Abstract】 A complex matrix A∈Cn×nis called a complex positive definite matrix;if Z∈Cn for everynonzero complex vector,Re (Z*AZ)>0.This paper presents a method judging complex posi-tive definite matrix and its several properties.
【关键词】 实正定对称矩阵;
实正定矩阵;
Hermite正定矩阵;
复正定矩阵;
【Key words】 real positive definite symmetric matrix; real positive definite matrix; Hermite positive definite matrix; complex positive definite matrix;
【Key words】 real positive definite symmetric matrix; real positive definite matrix; Hermite positive definite matrix; complex positive definite matrix;
【基金】 内蒙古农牧学院年科学基金资助课题
- 【文献出处】 内蒙古农牧学院学报 ,Journal of Inner Mongolia Institute of Agriculture and Animal Husbandry , 编辑部邮箱 ,1993年02期
- 【分类号】O151.21
- 【被引频次】2
- 【下载频次】113