摘要
定 义 复 广 义 规 范 矩 阵 , 拓 广 了 复 规 范 矩 阵 和 复 正 定 矩 阵(未 必 对 称)的 概 念 . 研究 复 广 义 规 范 矩 阵 的 一 些 等 价 条 件 , 解 决 了 A 与 A 2/n的 上 界 、 下 界 问 题 , 其 中A =H(A) + K(A),H(A) = frac12(A + A?),K(A) = frac12(A ? A?).由于引入广义规范矩阵的概念,得到了复规范矩阵与复正定矩阵的统一的研究方法.
The complex generalized normal matrix is de?nited and the conceptions of complex normal matrix and com- plex positive de?nite matrix (possibly nonsymmetric) are generalized. Some equivalent conditions of complex generalized normal matrix are discussed. The boundary problems of A and A 2/n are given. Because of the use of the conception of complex generalized normal matrix, the uni?ed research method of the complex normal matrix and the complex positive de?nite matrix (possibly nonsymmetric) is o?ered.
出处
《黑龙江大学自然科学学报》
CAS
2004年第4期115-117,共3页
Journal of Natural Science of Heilongjiang University
基金
Supported by the Natural Science Foundation of Education Commission of Guangdong Province(Z03095)
关键词
复广义规范矩阵
复规范矩阵
复正定矩阵
generalized normal matrix
normal matrix
positive definite matrix
