高师理科学刊2025，Vol.45Issue(6)：1-6,6.DOI:10.3969/j.issn.1007-9831.2025.06.001
非奇异M-矩阵逐次迭代判定方法的推导与应用
Derivation and application of successive iteration determination method for non-singular M-matrix
摘要
Abstract
Aiming at the high complexity of eigenvalue solving and inverse matrix calculation in the determination of non-singular M-matrices,a determination algorithm based on successive iteration is proposed.By analyzing the diagonal dominance characteristics,the column vectors of the matrix are gradually adjusted to quickly enter the determination interval under the premise of ensuring the invariance of the matrix category,significantly reduce the computational complexity.Finally,the efficiency of the algorithm in the determination of M-matrix for large-scale sparse matrices is verified through several typical calculation examples.关键词
非奇异M-矩阵/逐次迭代法/对角占优矩阵/稀疏矩阵Key words
non-singular M-matrix/successive iteration method/diagonally dominant matrix/sparse matrix分类
数理科学引用本文复制引用
张继龙,陈亚伟,曹石..非奇异M-矩阵逐次迭代判定方法的推导与应用[J].高师理科学刊,2025,45(6):1-6,6.基金项目
北京航空航天大学研究生教育与发展研究专项基金项目(JG2024025) （JG2024025）
