摘要
提出了对角均势矩阵的定义,并通过分析对角占优矩阵的内部结构,发现对角占优矩阵是否具有对角均势主子阵是影响该类矩阵非奇异的根本原因.在此基础上,给出了该类矩阵非奇异的几个充分必要条件.
The definition of diagonally equipollent matrix is proposed firstly, and by studying the structure of the diagonally dominant matrix what causes that a diagonally dominant matrix is nonsingular is found that it is wheth- er this matrix has a diagonally equipollent principal submatrix or not. On the basis of the findings, several suffi- cient and necessary conditions of which a diagonally dominant matrix is nonsingular are raven.
出处
《西安工程大学学报》
CAS
2012年第1期112-116,共5页
Journal of Xi’an Polytechnic University
基金
陕西省教育厅专项科研基金资助项目(2011JK0492)
中国博士后基金项目(18420041)
西安工程大学科学研究基金项目(BS1104)
关键词
对角占优矩阵
对角均势矩阵
非奇异
diagonally dominant matrix
diagonally equipollent matrix
nonsingular
