Infinity norm upper bounds for the inverse of $ {SDD_k} $ matrices

Autor: Xiaodong Wang, Feng Wang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 10, Pp 24999-25016 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20231276?viewType=HTML
Popis: In this paper, we introduce a new subclass of $ H $-matrices called $ {SDD_k} $ matrices, which contains $ {SDD} $ matrices and $ {SDD_1} $ matrices as special cases, and present some properties of $ {SDD_k} $ matrices. Based on these properties, we also provide new infinity norm bounds for the inverse of $ {SDD} $ matrices and $ {SDD_k} $ matrices. It is proved that these new bounds are better than some existing results in some cases. Numerical examples demonstrate the effectiveness of the obtained results.
Databáze: Directory of Open Access Journals