A New Lower Bound for the Smallest Singular Value

被引:0
|
作者
Doroslovacki, Ksenija [1 ]
Cvetkovic, Ljiljana [2 ]
Sanca, Ernest [2 ]
机构
[1] Univ Novi Sad, Fac Tech Sci, Novi Sad, Serbia
[2] Univ Novi Sad, Fac Sci, Dept Math & Informat, Novi Sad, Serbia
关键词
Smallest singular value; inverse matrix; norm; 1; H-matrix; block H-matrix; INVERSE; NORM;
D O I
10.2298/FIL1909711D
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to obtain new lower bounds for the smallest singular value for some special subclasses of nonsingular H-matrices. This is done in two steps: first, unifying principle for deriving new upper bounds for the norm 1 of the inverse of an arbitrary nonsingular H-matrix is presented, and then, it is combined with some well-known upper bounds for the infinity norm of the inverse. The importance and efficiency of the results are illustrated by an example from ecological modelling, as well as on a type of large-scale matrices posessing a block structure, arising in boundary value problems.
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页码:2711 / 2723
页数:13
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