Title
Euclidean norm estimates of the inverse of some special block matrices.
Abstract
In this paper we start from the known lower bounds for minimal singular value of the matrices possessing certain kind of the diagonal dominance property, and derive Euclidean norm estimates of the inverses of several new subclasses of the block H-matrices. The motivation comes from applications where the matrix in question has distinguished block structure, which can be exploited to obtain useful information. An example arising from ecological modeling illustrates the benefits of the presented approach.
Year
DOI
Venue
2016
10.1016/j.amc.2016.02.048
Applied Mathematics and Computation
Keywords
Field
DocType
Block matrices,Euclidean matrix norm,Inverse matrix
Magnitude (mathematics),Mathematical optimization,Singular value,Algebra,Mathematical analysis,Matrix (mathematics),Euclidean distance,Diagonally dominant matrix,Matrix norm,Block matrix,Euclidean distance matrix,Mathematics
Journal
Volume
Issue
ISSN
284
C
0096-3003
Citations 
PageRank 
References 
0
0.34
3
Authors
4
Name
Order
Citations
PageRank
Ljiljana Cvetković19422.02
Vladimir Kostic2132.66
Ksenija Doroslovacki361.40
Dragana Lj. Cvetkovic410.75