广义行（列）对称矩阵的Moore-Penrose逆

摘要

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.%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.