严格双对角占优M-矩阵之逆的无穷大范数的上界估计  

Estimation of Upper Bounds for the Infinite Norm of the inverse of a Strictly Doubly Diagonally Dominant M-Matrix

作　　者：文艳姑 段复建[2] WEN Yan-gu;DUAN Fu-jian(Mathematics Teaching and Research Department,Guilin Institute of Information Technology;School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin 541004,China)

机构地区：[1]桂林信息科技学院数学教研部,广西桂林541004 [2]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《南宁师范大学学报（自然科学版）》2022年第3期20-26,共7页Journal of Nanning Normal University：Natural Science Edition

基　　金：桂林信息科技学院2020年科研启动基金(XJ202082)。

摘　　要：该文研究严格双对角占优M-矩阵之逆的无穷大范数的上界估计问题.对严格双对角占优M-矩阵右乘一个正对角矩阵,使其化为一个严格对角占优M-矩阵,然后估计其逆的无穷大范数的上界,进而得到原矩阵之逆的无穷大范数的上界估计式.最后通过数值算例对理论结果进行验证,结果表明所得估计是有效的.This paper studies estimations of upper bounds of the infinite norm of the inverse of a strictly doubly diagonally dominant M-matrix.By multiplying a strictly doubly diagonally dominant M-matrix by a positive diagonal matrix from the right,we get a strictly diagonally dominant M-matrix,for which we estimate the upper bound of the infinite norm of the inverse,and then we obtain an estimation for the original matrix.Our theoretical results are verified by numerical examples,which show that this estimation is effective.

关 键 词：严格对角占优 严格双对角占优 M-矩阵 无穷大范数 上界 

分 类 号：O151.21[理学—数学]