摘要
H-矩阵在许多领域中都起着非常重要的作用,例如数学分析、矩阵理论、数学经济学、控制论等.但是在实际运用中判定H-矩阵却十分困难.本文类似于文[4],均以α-对角占优理论为基础,给出H-矩阵的若干实用判定,改进了文[3]的相应结果.
H-matrices play avery important role in many fields like Numerical Analysis,Matrix theory,Mathematical Economics,Control theory,etc.But it is difficult to judge H-matrices in practice.In this paper,we give some practical criterions for nonsingular H-matrices abase on the theory ofα-diagonally dominant matrices,it is similar to[4].And improve the results of[3].
出处
《大学数学》
2010年第5期109-111,共3页
College Mathematics
关键词
非奇异H-矩阵
广义严格对角占优矩阵
广义严格α-对角占优矩阵
nonsingular H-matrices
generalized strictly diagonally dominant matrix
generalized strictlyα-diagonally dominant matrix
