Title: Criteria of Generalized α-Diagonally Dominant Matrix and H-matrix
Abstract: Let A=(aij)∈Cijn , if there exists a∈(0,1), which can make be right for i∈N={1,2,…,n}, then A is called a-diagonal strictly dominant matrix.First ,we extend the concept to generalized diagonally strictly dominant matrix, and obtain two new sufficient conditions for A=(aij)∈Cijn to be generalized-diagonally dominant matrix, improving and generalizing the related results.This result enriches and improves the theory of α-diagonally dominant matrix and H-matrix.Finally, some numerical examples are given for illustrating advantage of results in this paper.Providing theory's base for relative fields, such as in matrix theory ,control theory, mathematical economics,etc .
Publication Year: 2010
Publication Date: 2010-01-01
Language: en
Type: article
Access and Citation
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot