On a criterion of D-stability for P-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.

Keywords

• P-matrices
• Q2-matrices
• D-stability
• matrix scalings
• P-matrix powers
• stabilization