云南民族大学学报(自然科学版)2017,Vol.26Issue(3):209-211,3.DOI:12.3969/j.issn.1672-8513.2017.03.008
双严格对角占优矩阵最小特征值的下界
The lower bound for the minimum eigenvalue of a doubly strictly diagonally dominant matrix
摘要
Abstract
This paper first gives the bounds of the elements of the inverse matrix for a doubly strictly diagonally dominant matrix.Then using these bounds and the eigenvalue theorem of the matrix,it gets the lower bound for the minimum eigenvalue of the matrix.The theoretical proof and numerical examples have proved that the new bound can improve the existing results.关键词
M矩阵/双严格对角占优矩阵/最小特征值/下界Key words
matrix/doubly strictly diagonally dominant matrix/minimum eigenvalue/lower bound分类
数理科学引用本文复制引用
李艳艳..双严格对角占优矩阵最小特征值的下界[J].云南民族大学学报(自然科学版),2017,26(3):209-211,3.基金项目
国家自然科学基金(11261049) (11261049)
文山学院科学研究项目(16WSY11). (16WSY11)