On the positive stability of P2-matrices

On the positive stability of P2-matrices In this paper, we study the positive stability of P-matrices. We prove that a matrix A is positive stable if A is a P2-matrix and there is at least one nested sequence of principal submatrices of A each of which is also a P2-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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Linear Algebra and its Applications Elsevier

On the positive stability of P2-matrices

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Publisher
Elsevier
Copyright
Copyright © 2016 Elsevier Inc.
ISSN
0024-3795
eISSN
1873-1856
D.O.I.
10.1016/j.laa.2016.04.002
Publisher site
See Article on Publisher Site

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 P2-matrix and there is at least one nested sequence of principal submatrices of A each of which is also a P2-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.

Journal

Linear Algebra and its ApplicationsElsevier

Published: Aug 15, 2016

References

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