一类广义中心(反)对称矩阵奇异值分解及其算法

Singular value decomposition and its algorithm of one kind of generalized(Anti) centro-symmetric matrix

研究了具有中心对称结构矩阵的奇异值分解,矩阵的奇异值分解公式及Moore-Penrose逆的快速算法,能极大地节省求该类矩阵奇异值分解和Moore-Penrose逆时的计算量和存储量。

This paper studies singular value decomposition of generalized centro-symmetric matrix,the formula of singular value decomposition and the algorithm of the Moore-Penrose inverses are given,which saves dramatically the CPU time and memory when calculate the singular value decomposition and Moore-Penrose inverses for generalized centro-symmetric matrix matrix.