利用共轭次转置阵和可逆Hermite矩阵给出了拟次Hermite矩阵和反拟次Hermite矩阵的概念,从而推广了准对称矩阵和准反对称矩阵,并研究了拟次Hermite矩阵和反拟次Hermite矩阵的若干性质。
With the need of the applications in many aspects and deep research, people did a lot of work on the expansion of symmetric and orthogonal matrices. Most of the work is done on principal diagonal line, but the minor diagonal line is usually ignored. In this paper, the author extends the almost - symmetric matrix to complex and obtained a new kind of matrix , quasi - sub - Hermite matrix. And some new results have been obtained.