摘要
利用矩阵的不可约、α-对角占优、α-双对角占优等概念,一方面,通过G-函数及矩阵有向图的方法给出非奇异H-矩阵的判别准则及相关性质;另一方面,从若干角度分析了在不可约且对角占优条件下,矩阵的特征值和奇异性问题。进一步丰富和完善了α-双对角占优与非奇异H-矩阵的理论,为相关领域如数值分析、矩阵论、控制论、经济数学等提供了理论基础。
Some criterions and properties were presented for a matrix to be a nonsingular H - matrix using matrix＇s concepts of irreducibility, α-diagonally dominance and α-doubly diagonally dominance and the method of G function and matrix＇s directed graph. In the meantime, the matrix＇s eigenwert and nonsingular problem was analyzed under the condition of irreducibility and diagonally dominance. The theory of α-doubly diagonally dominance and H-matrix was improved and enriched, which provided the theory＇s base for relative fields, such as in numerical analysis, matrix theory, control theory and mathematical economics.
出处
《辽宁石油化工大学学报》
CAS
2005年第3期90-93,共4页
Journal of Liaoning Petrochemical University
