行(列)反对称矩阵的奇异值分解

Singular value factorization of row (column) antisymmetric matrix

摘要: 提出了行(列)转置矩阵与行(列)反对称矩阵的概念,研究了它们的性质,获得了一些新的结果,给出了行(列)反对称矩阵的奇异值分解的公式,它们可极大地减少行(列)反对称矩阵的奇异值分解的计算量与存储量,并且不会丧失数值精度.

Abstract: The concept of row(column) transposed matrix and row(column) antisymmetric matrix are introduced and analyzed,which leads to some new results.In addition,the formula of the singular value factorization of row(column) antisymmetric matrix is given,which makes calculation easier and accurate.