摘要
本文得到了块对角占优矩阵奇异与非奇异的几个充分必要条件,并由此得到了广义块对角占优矩阵奇异与非奇异的一些充分必要的判定条件。
Necessary and sufficient conditions for a matrix to be singular/nonsingular are obtained under the assumption that the matrix is a block diagonally dominant （BDD） matrix. For a generalized block diagonally dominant （GBDD） matrix, necessary and sufficient conditions are obtained based on the results for BDD matrices.
出处
《工程数学学报》
CSCD
北大核心
2009年第2期357-360,共4页
Chinese Journal of Engineering Mathematics
基金
NSFC (10771030)
Scientific and Technological Key Project of Chinese Ministry ofEducation (107098)
Project for Academic Leader and Group of UESTC
关键词
块对角占优性
奇异性
广义块对角占优性
block diagonal dominance
nonsingularity
generalized block diagonal dominance
