Nekrasov矩阵的‖A-1‖∞新的上界估计式

A new upper-bound estimator for the infinitynorm of inverse of Nekrasov matrices

目的建立Nekrasov矩阵的逆矩阵的无穷范数上界的新估计式。方法运用Nekrasov矩阵的定义及矩阵范数的性质,估计Nekrasov矩阵的逆矩阵的无穷范数上界。结果给出了Nekrasov矩阵的逆矩阵的无穷范数一个含参数ε上界估计式。结论数值例子表明了当选取适当的参数ε时,由新的估计式所得的估计值比文献中已有的结果更精确。

Purposes-To construct a new upper-bound estimate for the infinity norm of the inverse of the Nekrasov matrices.Methods-The definition of Nekarsov matrices and the property of matrix norm are applied to estimate the upper bound for the infinity norm of the inverse of the Nekrasov matrices.Result-A new upper-bound estimator for the infinity norm of the inverse of the Nekrasov matrices is given which contains the parameterε.Conclusion-Numerical examples show that when the appropriate parameterεis selected,the new upper-bound estimator is better than existing bounds.