![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
ABSTRACT
Some sufficient conditions ensuring that the subdirect sum of p-norm strictly diagonally dominant [or, for short, SDD(p)] matrices is in the class of SDD(p) matrices, are given. In particular, it is shown that the subdirect sum of overlapping principal submatrices of an SDD(p) matrix is also an SDD(p) matrix. Some examples are also given that illustrate the conditions presented.
Acknowledgements
The authors thank the editor and anonymous referees for their useful and constructive suggestions, which have greatly helped to improve the presentation of this paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
Qilong Liu is supported partly by the Doctoral Scientific Research Foundation of Guizhou Normal University in 2017 [grant number GZNUD[2017]26]. Jianfeng He is supported partly by the Yunnan Provincial Department of Education Science Research Fund Project [grant number 2019J0399]. Lei Gao is supported partly by the National Natural Science Foundation of China [grant number 31600299]; the Natural Science Foundation of Shaanxi Province, China [grant number 2020JM-622]; the Scientific Research Program Funded by Yunnan Provincial Education Department [grant number 2019J0910]; and the Key Project of Baoji University of Arts and Sciences [grant number ZK2017021]. Chaoqian Li is supported partly by the Applied Basic Research Programs of Science and Technology Department of Yunnan Province [grant number 2018FB001]; Program for Excellent Young Talents in Yunnan University; Outstanding Youth Cultivation Project for Yunnan Province [grant number 2018YDJQ021]; Yunnan Provincial Ten Thousands Plan Young Top Talents.