Inertia theorems for matrix polynomials

Inertia theorems for matrix polynomials

The Lyapunov method for determining the inertia of a matrix in terms of inertia of solutions of a certain linear matrix equation is extended to matrix polynomials.Generalization of well-known inertia theorems are obtained using the recently developed concept of Bezoutian for several matrix polynomia...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Linear & multilinear algebra 1991-09, Vol.30 (3), p.157-182
Hauptverfasser: Lerer, Leonid, Rodman, Leiba, Tismenetsky, Miron
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The Lyapunov method for determining the inertia of a matrix in terms of inertia of solutions of a certain linear matrix equation is extended to matrix polynomials.Generalization of well-known inertia theorems are obtained using the recently developed concept of Bezoutian for several matrix polynomials.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081089108818100