The Conditions for the Convergence of Power Scaled Matrices and Applications

The Conditions for the Convergence of Power Scaled Matrices and Applications

For an invertible diagonal matrix D , the convergence of the power scaled matrix sequence D-NAN is investigated. As a special case, necessary and sufficient conditions are given for the convergence of D-NTN , where T is triangular. These conditions involve both the spectrum as well as the diagraph o...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:American journal of computational mathematics 2011-06, Vol.1 (2), p.63-71
Hauptverfasser: Chen, Xuzhou, Hartwig, Robert E.
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Convergence
Iterative methods
Mathematical analysis
Mathematical models
Matrices (mathematics)
Sequences
Subspaces
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:For an invertible diagonal matrix D , the convergence of the power scaled matrix sequence D-NAN is investigated. As a special case, necessary and sufficient conditions are given for the convergence of D-NTN , where T is triangular. These conditions involve both the spectrum as well as the diagraph of the matrix .The results are then used to privide a new proof for the convergence of subspace iteration.
ISSN:2161-1203
2161-1211
DOI:10.4236/ajcm.2011.12007