吉林大学学报（理学版）2016，Vol.54Issue(4)：720-724,5.DOI:10.13413/j.cnki.jdxblxb.2016.04.08
严格α-对角占优 M-矩阵 A 的‖A-1‖∞的估计
Estimates of ‖A-1 ‖∞ of Strictlyα-Diagonally Dominant M-Matrices A
摘要
Abstract
Using matrix splitting method and some existing infinity norm estimates of the inverse of strictly diagonally dominant M-matrices,we gave a monotone non-increasing sequence for the upper bounds of ‖A -1 ‖∞ of a strictly α-diagonally dominant M-matrix A.The obtained results were verified by several numerical examples.Numerical results show that the method is feasible and more accurate than some existing results.关键词
对角占优/M-矩阵/逆/上界/序列Key words
diagonally dominant/M-matrix/inverse/upper bound/sequence分类
数理科学引用本文复制引用
赵建兴,桑彩丽..严格α-对角占优 M-矩阵 A 的‖A-1‖∞的估计[J].吉林大学学报（理学版）,2016,54(4):720-724,5.基金项目
国家自然科学基金(批准号:11361074 （）
11501141)、贵州省科学技术基金(批准号:黔科合 J 字[2015]2073号)、贵州民族大学引进人才科研项目基金(批准号:15XRY003)和贵州民族大学科研项目基金(批准号:15XJS009) （批准号:黔科合 J 字[2015]2073号）
