南通大学学报（自然科学版）

仿照次正交矩的定义方法,给出了K-次正交矩阵的概念,讨论了K-次正交矩阵的基本性质,研究了K-次正交矩阵的伴随矩阵、转置矩阵、次转置矩阵、全转置矩阵以及其它分块矩阵的相关性质,得出了一些新的结果.

Referring to the methods of defining sub-orthogonal matrix,we give the concept of K-quasi-sub-orthogonal matrix and obtain the properties of its generalized matrices.Moreover,we examine respectively the properties of the K-anti-sub-orthogonal matrices which are the special cases of K-sub-orthogonal matrix and present the relations among these generalized matrices.