引用本文:赵建兴.最终严格对角占优矩阵A的‖A-1‖∞的上界序列[J].西南师范大学学报(自然科学版),2017,42(8):
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最终严格对角占优矩阵A的‖A-1‖∞的上界序列
赵建兴
作者单位
赵建兴 贵州民族大学 数据科学与信息工程学院,贵阳,550025 
摘要:
针对逆矩阵的无穷大范数的上界估计问题,利用已有严格对角占优矩阵的逆矩阵的无穷大范数的上界,给出最终严格对角占优矩阵A的‖A-1‖∞的上界序列,改进了某些已有结果.数值算例显示所得上界序列是单调递减的,且在某些情况下能达到真值.
关键词:  对角占优  逆矩阵  范数  上界  序列
DOI:10.13718/j.cnki.xsxb.2017.08.008
分类号:O151.21
基金项目:
On Sequence of Upper Bounds for ‖A-1‖∞ of Eventually Strictly Diagonally Dominant Matrices
ZHAO Jian-xing
Abstract:
A sequence of upper bounds for of an eventually strictly diagonally dominant matrix A has been given by means of some existing upper bounds of the infinity norm of the inverse of strictly diagonally dominant matrices.Numerical examples show that the sequence is monotone decreasing and could reach the true value of ‖A-1‖∞ in some cases.These bounds in this paper improve some existing results.
Key words:  diagonally dominant  inverse matrix  infinity norm  upper bound  sequence
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