非奇异H-矩阵的参数改进迭代判定法

An Improved Iterative Criterion with Parameter for Nonsingular H-matrices

非奇异H-矩阵是一类应用广泛的特殊矩阵。利用广义严格α-链对角占优矩阵的定义及性质,根据矩阵自身元素、行和以及列和,提出了含参数α的迭代公式,推广和改进了已有的相关结果,并通过数值算例说明了结果的优越性。

The nonsingular H-matrix is a special class of matrices with wide applications.In this paper,based on the concept and properties of the generalized strictlyα-chain diagonal dominance matrices,according to the elements,row sums and column sums of the matrices,an iterative criterion with parameterαis provided,which extends and improves some related results.Some numerical examples are used to show the advantages of the result.