On a criterion of D-stability for P-matrices

On a criterion of D-stability for P-matrices

In this paper, we study positive stability and D-stability of P-matrices.We introduce the property of Dθ-stability, i.e., the stability with respect to a given order θ. For an n × n P-matrix A, we prove a new criterion of D-stability and Dθ-stability, based on the properties of matrix scalings.

Bibliographic Details
Main Author: Kushel Olga Y.
Format: Article
Language:English
Published: De Gruyter 2016-04-01
Series:Special Matrices
Subjects:
P-matrices
Q2-matrices
D-stability
matrix scalings
P-matrix powers
stabilization
Online Access:http://www.degruyter.com/view/j/spma.2016.4.issue-1/spma-2016-0017/spma-2016-0017.xml?format=INT
Description
Summary:In this paper, we study positive stability and D-stability of P-matrices.We introduce the property of Dθ-stability, i.e., the stability with respect to a given order θ. For an n × n P-matrix A, we prove a new criterion of D-stability and Dθ-stability, based on the properties of matrix scalings.
ISSN:2300-7451

Similar Items