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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access April 11, 2016

On a criterion of D-stability for P-matrices

Olga Y. Kushel
From the journal Special Matrices

Abstract

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.

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Received: 2015-10-23
Accepted: 2016-3-22
Published Online: 2016-4-11

©2016 Olga Y. Kushel

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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