矩阵相抵分解的若干结论

A Series of Conclusions of Matrix Counterbalance Decomposition

矩阵相抵分解是一类特殊的矩阵分解问题,它在解决矩阵的秩、标准形化简等许多问题中都有重要的应用。通过对矩阵分解的深入探讨,得到一系列相关结论,对矩阵的进一步研究具有重要的理论意义。

Matrix counterbalance decomposition,one of the special matrix decomposition issues,plays a major role in solving many problems such as the rank of the matrix and standard form reduction.Based on the further discussion about matrix decomposition,the paper draws a series of relevant conclusions in hope that it lays an important theoretical significance on the matrix research.