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https://open.uns.ac.rs/handle/123456789/20288
Title: | A New Lower Bound for the Smallest Singular Value | Authors: | Doroslovački Ksenija Cvetkovic Ljiljana Šanca Ernest |
Issue Date: | 2019 | Journal: | Filomat | Abstract: | © University of Nis. All rights reserved. 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. | URI: | https://open.uns.ac.rs/handle/123456789/20288 | ISSN: | 0354-5180 | DOI: | 10.2298/FIL1909711D |
Appears in Collections: | PMF Publikacije/Publications |
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