摘要
在文献〔1—2〕基础上,本文考察了半正定自共轭四元数矩阵A的半正定(i,…,j)—逆A{i,…,j;≥}中的半正定偏序解问题,证明了各广义逆的半正定偏序解的显公式。
In this paper the problems of the positive semidefinite partial order in the positive semidefinite generalized inverses A { i, …, j; ≥} of a positive semidefinite self-conjugate matrix A of quaternions are discussed, and their corresponding explicit solutions are proved.
出处
《福建林学院学报》
CSCD
1990年第2期112-121,共10页
Journal of Fujian College of Forestry
基金
福建省自然科学基金资助课题
关键词
矩阵论
半正定偏序
广义逆
四元数
quaternion field, positive semidefinite self-con-jugate matrix, gen-eralized inverse, positive semidefinite partial order