【摘要】 非奇异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异H-矩阵,一直是人们关心的问题.本文利用矩阵指标集的k-级划分,给出了非奇异H-矩阵的一组判定条件,改进和推广了近期的相关结果,并用数值算例说明本文判定方法的有效性.更多还原

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