Scaling technique for Partition-Nekrasov matrices
Authors:
- Tomasz Szulc,
- Ljiljana Cvetković,
- Maja Nedović
Abstract
It is well-known that for a given H-matrix A there exists a diagonal nonsingular matrix that scales A (by multiplying it from the right) to a strictly diagonally dominant (SDD) matrix. There are subclasses of H-matrices that can be fully characterised by the form of the corresponding diagonal scaling matrices. However, for some applications, it is not necessary to have such full characterisation. It is sufficient to find at least one scaling matrix that will do the job. The aim of this paper is to present a way of constructing a diagonal scaling matrix for one special subclass of H-matrices called Partition-Nekrasov matrices. As an application of this scaling approach, we obtain eigenvalue localisation for the corresponding Schur complement matrix, using only the entries of the original matrix.
- Record ID
- UAMeefe0f3fab1448b384fc5bd663436c2a
- Author
- Journal series
- Applied Mathematics and Computation, ISSN 0096-3003
- Issue year
- 2015
- Vol
- 271
- Pages
- 201-208
- ASJC Classification
- ;
- DOI
- DOI:10.1016/j.amc.2015.08.136 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 40
- Score source
- journalList
- Score
- Publication indicators
- = 2; = 6; : 2015 = 1.239; : 2015 (2 years) = 1.345 - 2015 (5 years) =1.436
- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAMeefe0f3fab1448b384fc5bd663436c2a/
- URN
urn:amu-prod:UAMeefe0f3fab1448b384fc5bd663436c2a
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.