Skip to main content
Numerical Linear Algebra with ApplicationsVolume 24, Issue 5, October 2017, Article number e2101

On the inertia of the block H-matrices(Article)

  Save all to author list
  • Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg D. Obradovića 4, Novi Sad, 21000, Serbia

Abstract

The problem of determining matrix inertia is very important in many applications, for example, in stability analysis of dynamical systems. In the (point-wise) H-matrix case, it was proven that the diagonal entries solely reveal this information. This paper generalises these results to the block H-matrix cases for 1, 2, and ∞ matrix norms. The usefulness of the block approach is illustrated on 3 relevant numerical examples, arising in engineering. Copyright © 2017 John Wiley & Sons, Ltd.

Author keywords

block matriceseigenvaluesH-matricesinertiastability

Funding details

Funding sponsor Funding number Acronym
Ministry of Science and Environmental Protection174019

  • 1

    This work is partly supported by the Ministry of Science and Environmental Protection of Serbia, Grant 174019.

  • ISSN: 10705325
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1002/nla.2101
  • Document Type: Article
  • Publisher: John Wiley and Sons Ltd

  Kostić, V.R.; Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg D. Obradovića 4, Novi Sad, Serbia;
© Copyright 2017 Elsevier B.V., All rights reserved.

Cited by 4 documents

Roy, N. , Bora, S.
Locating eigenvalues of quadratic matrix polynomials
(2022) Linear Algebra and Its Applications
Kostić, V.R. , Cvetković, L. , Šanca, E.
From pseudospectra of diagonal blocks to pseudospectrum of a full matrix
(2021) Journal of Computational and Applied Mathematics
Li, C. , Cvetković, L. , Wei, Y.
An infinity norm bound for the inverse of Dashnic–Zusmanovich type matrices with applications
(2019) Linear Algebra and Its Applications
View details of all 4 citations
Inform me when this document is cited in Scopus:
Set citation alert Set citation feed
{"topic":{"name":"Eigenvalue; Complementarity Problem; Matrix (Mathematics)","id":32032,"uri":"Topic/32032","prominencePercentile":52.169388,"prominencePercentileString":"52.169","overallScholarlyOutput":0},"dig":"d75d537740167f8bd080a09ccdf7167bc55cd2c5acfa06e6b971d34c0b3da729"}

SciVal Topic Prominence

Topic:
Prominence percentile: