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
2013-01-01

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.
2013
11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013)
9780735411852
Matrix D-stability, numerical linear algebra
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/762670
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