摘要
Nekrasov矩阵是H-矩阵的重要子类之一,在矩阵分析和数值代数的研究中具有重要作用.研究了Nekrasov矩阵的逆矩阵的无穷范数的上界估计问题,给出了其逆矩阵的无穷范数的含参数ε的估计式.数值例子表明当选取适当的参数ε时,所得估计式比已有估计式估计结果更为精确.
The class of Nekrasov matrices is one of important subclass of H-matrices,it plays a key role in the research of matrix analysis and numerical algebra. We study bounds of the infinity norm of the inverse of Nekrasov matrices and obtain two new upper bounds which contain a parameter ε.Numerical examples are given to illustrate that the estimates obtained by using the upper bounds are more accurate than that by using some existing upper bounds when the parameter ε is chosen appropriately.
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2017年第1期13-17,共5页
Journal of Yunnan University(Natural Sciences Edition)
基金
国家自然科学基金(11361074)
云南省教育厅基金(2011Y011)
