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On the positive stability of P2-matrices

Author:
Olga Y. Kushel  


Journal:
Linear Algebra and its Applications


Issue Date:
2016


Abstract(summary):

Abstract In this paper, we study the positive stability of P -matrices. We prove that a matrix A is positive stable if A is a P 2 -matrix and there is at least one nested sequence of principal submatrices of A each of which is also a P 2 -matrix. This result generalizes the result by Carlson which shows the positive stability of sign-symmetric P -matrices and the result by Tang, Simsek, Ozdaglar and Acemoglu which shows the positive stability of strictly row (column) square diagonally dominant for every order of minors P -matrices.


Page:
190-190


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