How to check D-stability: a simple determinantal test
Rings and Algebras
2022-10-13 v1 Spectral Theory
Abstract
The concept of matrix -stability, introduced in 1958 by Arrow and McManus is of major importance due to the variety of its applications. However, characterization of matrix -stability for dimensions is considered as a hard open problem. In this paper, we propose a simple way for testing matrix -stability, in terms of the inequalities between principal minors of a matrix. The conditions are just sufficient but they allow to test matrices of an arbitrary size , are easy to verify and can be used for the analysis of parameter-dependent models.
Cite
@article{arxiv.2210.05711,
title = {How to check D-stability: a simple determinantal test},
author = {Olga Y. Kushel},
journal= {arXiv preprint arXiv:2210.05711},
year = {2022}
}