非奇异H-矩阵的新判定准则
New Criteria for Nonsingular H-matrices
根据对角占优理论,给出了严格对角占优矩阵的充要条件,作为应用得到判定非奇异H-矩阵的充分条件,从而拓展了非奇异H-矩阵的判定准则,同时给出了判定非奇异H-矩阵的算法和程序,并用数值例子说明结果的有效性。
By using the theory of diagonally dominant matrices, sufficient and necessary condition for strictly diagonally dominant matrices is given. As its application, some new sufficient conditions for nonsingular H-matrices are obtained. Meanwhile, the corresponding algorithm and Program are given. So the criteria for nonsingular H-matrices are expanded, and the efficiency of the proposed criteria is showed by a numerical example.
韩贵春
数学
H-矩阵严格对角占优矩阵M-矩阵不可约矩阵
H-matricesstrictly diagonally dominant matricesM-matricesirreducible matrices
韩贵春.非奇异H-矩阵的新判定准则[EB/OL].(2014-04-08)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/201404-87.点此复制
评论