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.File in questo prodotto:
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