A New Subclass of H-matrices:-DZT Matrices

H-matrices have wide applications in numerical analysis, control theory, matrix theory and statistics. An important method to study the properties of H-matrices is to consider its subclasses. H-matrices have wide applications. This paper introduces a new subclass of H-matrices, namedDZT matrices. We prove thatSDD matrices and DZT matrices belong toDZT matrices. This paper introduces a new matrix subclass:DZT matrices. By constructing the scaling matrix, we prove that the class ofDZT matrices belongs to H-matrices. Moreover,matrices and DZT matrices belong toDZT matrices. This paper successfully introduces a new subclass of matrices, thematrix, and proves that thematrix belongs to the H-matrix by constructing a scaling matrix. The inclusion relationships among the four types of matrices have been clarified, and H-matrices is clarified. These conclusions provide new theoretical basis and research directions for further studies on the properties and applications of H-matrix, and are of great significance in the development of matrix theory and related application fields.