摘要
提出了广义行(列)对称矩阵概念,研究了它的满秩分解和奇异值分解,利用这两种分解以及正交相抵,得到3种广义行列对称矩阵Moore-Penrose逆的快速算法,可极大节省其计算量和存储量;推广了相关文献的结果,使其应用范围更广.
The concept of generalized row（column）symmetric matrix is given,its full rank decomposition and singular value decomposition are studied.By the two decompositions and orthogonal equivalence,three shortcut counting methods of the Moore-Penrose inverse for generalized row（column）symmetric matrix are obtained,which can dramatically reduce the amount of calculation and save the CPU time and memory,which extend the results of the related references and which spread its application scope.
出处
《重庆工商大学学报（自然科学版）》
2012年第12期8-10,共3页
Journal of Chongqing Technology and Business University:Natural Science Edition
基金
重庆市教委科技项目(KJ090729)
关键词
广义行列对称矩阵
满秩分解
奇异值分解
正交相抵
MOORE-PENROSE逆
generalized row（column）symmetric matrix
full rank decomposition
singular value decomposition
orthogonal equivalence
Moore-Penrose inverse
