Schur complement of general H‐matrices

descriptionPublicationkeyboard_double_arrow_right Article 16 Sep 2009 English Publisher:WileyJournal:Numerical Linear Algebra with Applications, volume 16, pages 935-947 (issn: 1070-5325, eissn: 1099-1506,

Copyright policy )

Authors: Rafael Bru; Cristina Corral; Isabel Giménez; José Mas;

doi: 10.1002/nla.668

Schur complement of general H‐matrices

- Summary
- Subjects
- Metrics

Abstract

AbstractIt is well known that the Schur complement of some H‐matrices is an H‐matrix. In this paper, the Schur complement of any general H‐matrix is studied. In particular, it is proved that the Schur complement, if it exists, is an H‐matrix and the class to which the Schur complement belongs is studied. In addition, results are given for singular irreducible H‐matrices and for the Schur complement of nonsingular irreducible H‐matrices. Copyright © 2009 John Wiley & Sons, Ltd.

Related Organizations

Universitat Politècnica de València
Spain

Keywords

\(H\)-matrice, nonsingular irreducible \(H\)-matrices, Canonical forms, reductions, classification, diagonal equivalence, H-matrices, Schur complement, MATEMATICA APLICADA, singular irreducible \(H\)-matrices

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	12
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average