Title: On Generalized Diagonally Dominant Matrices
Abstract: Let A=(aij)∈Cn×n.If |ɑii|≥Σj≠i|ɑij|,∨i∈N+{1,2,…,n}} then A is said to be a diagonallydominant matrix. If there exists a positive diagonal matrix T such that AT is a diagonally dominant matrix,then A is said to be a generalized diagonally dominant matrix. Some criteria for and properties of generalized diagonally dominant matrices are obtained by constructing some positive diagonal matrices. These results improve and generalize some known results. In addition, some numerical examples for the effectiveness of these criteria are presented.
Publication Year: 2014
Publication Date: 2014-01-01
Language: en
Type: article
Access and Citation
Cited By Count: 1
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot