关键字：Split quaternion matrix;Elementary transformation;Triangular decomposition;LU decomposition;Determinant.

摘要：In this paper, the elementary transformation is discussed for split quaternion matrices and the upper triangulation process is given. Then two new determinants are defined by means of real and complex representation matrices and the sufficient condition for the existence of LU decomposition is obtained. Finally, the inverse of the split quaternion matrix is studied and its existence condition and computation method are given.

卷号：30

期号：1

是否译文：否