中文摘要：

运用特殊矩阵理论,推广了全酉矩阵和（反）全Hermite矩阵概念,给出了广义全酉矩阵和广义（反）全Hermite矩阵的定义,研究了广义全酉矩阵和广义（反）全Hermite矩阵的基本性质,得到了一些相关推论,并揭示了广义全酉矩阵和广义（反）全Hermite矩阵的内在联系

英文摘要：

By using special matrix theory,we generalize the conceptions of full-unitary matrix and（skew） full-Hermite matrix,give the definitions of generalized full-unitary matrix and generalized（skew） full-Hermite matrix,present the basic properties of generalized full-unitary matrix full-unitary matrix and generalized（skew） full-Hermite matrix,derive some related corollaries and reveal the internal relations of generalized full-unitary matrix and generalized（skew） full-Hermite matrix