广义严格对角占优矩阵的新判据  

New Criteria for Generalized Strictly Diagonally Dominant Matrices

作　　者：冷春勇[1] 

机构地区：[1]宜春学院数学与计算机科学学院,江西宜春336000

出　　处：《工程数学学报》2008年第1期185-188,共4页Chinese Journal of Engineering Mathematics

摘　　要：广义严格对角占优矩阵在数值分析和矩阵理论的研究中非常重要。本文利用广义Nekrasov矩阵的概念,给出了广义严格对角占优矩阵的两个充要判定条件,得到了广义严格对角占优矩阵的几个新的实用判据,包含和推广了文献中的相关结果。最后用数值例子说明了结论的有效性。Generalized strictly diagonally dominant matrices play an important role in numerical analysis and matrix theory. In this paper, we adopt the definition of generalized Nekrasov matrices and give two equivalent conditions for generalized strictly diagonally dominant matrices, obtain some new practical criteria for generalized strictly diagonally dominant matrices, which include and extend some relevant results. New criteria＇s advantages are illustrated by some numerical examples.

关 键 词：广义严格对角占优矩阵 广义NEKRASOV矩阵 不可约 非零元素链 

分 类 号：O151.21[理学—数学]