The concept of D-stability is significant for matrices of any order, especially when they appear in ordinary differential systems modelling physical problems. The problem of characterization of a D-stable matrix was solved for low order matrices only, because of computational complexity required to check conditions assuring D-stability. Here we present an approach based on numerical linear algebra theorems, which provide conditions easily checked by computer algebra.

About characterization of D-stability by a computer algebra approach

PAVANI, RAFFAELLA
2013

Abstract

The concept of D-stability is significant for matrices of any order, especially when they appear in ordinary differential systems modelling physical problems. The problem of characterization of a D-stable matrix was solved for low order matrices only, because of computational complexity required to check conditions assuring D-stability. Here we present an approach based on numerical linear algebra theorems, which provide conditions easily checked by computer algebra.
AIP Conference Proceeedings, 1558
9780735411852
Matrix D-stability, numerical linear algebra
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/762670
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? ND
social impact