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

来源：

FILOMAT | 2019年 / 33卷 / 09期

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.

引用

页码：2711 / 2723

页数：13

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