Year: 2025
Type: article
Abstract: 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, namedγ−DZT matrices. We prove thatγ−SDD matrices and DZT matrices belong toγ−DZT matrices. This paper introduces a new matrix subclass:γ−DZT matrices. By constructing the scaling matrix, we prove that the class ofγ−DZT matrices belongs to H-matrices. Moreover,γ−matrices and DZT matrices belong toγ−DZT matrices. This paper successfully introduces a new subclass of matrices, theγ−matrix, and proves that theγ−matrix 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.
Source: Theoretical and Natural Science
Authors: Delun Li, Shiyun Wang, Changyue Li, Airu Song, Bo Jiang
Institution: Shenyang Aerospace University
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4412495036