【摘要】 <正>1引言非奇H-矩阵在计算方法、物理数学、生物学、矩阵论、控制理论等领域有着广泛的应用,如何有效地判定一个矩阵是否为非奇H-矩阵,一直是人们关注的课题.近年来国内外众多学者对非奇H-矩阵进行了深入的研究(见文[1-10]).本文利用矩阵指标集的k-级划分给出了非奇H-矩阵一组判定条件,该判定条件推广和改进了已有的相关结果,丰富和完善了非奇H-矩阵的判定方法.更多还原

【Abstract】 Nonsingular H-matrices have a wide range of applications in computational mathematics,biology,matrix theory and control theory,etc.How to specify nonsingular H-matrices effectively has always been paid attention.In this paper,by using k-partition of matrices index set,some new determinate conditions for nonsingular H-matrices are given,which improve and generalize some existing results.The effectiveness of these sufficient conditions is illustrated with numerical examples.更多还原