论文标题
如何检查D稳定性：一个简单的决定性测试
How to check D-stability: a simple determinantal test
论文作者
论文摘要
矩阵$ d $稳定性的概念，由Arrow和McManus于1958年引入，由于其应用多种多样，至关重要。但是，矩阵$ d $ - 尺寸的表征$ n> 4 $被认为是一个困难的打开问题。在本文中，我们提出了一种简单的方法来测试矩阵$ d $稳定性，就矩阵的主要未成年人之间的不平等而言。条件就足够了，但它们允许测试任意尺寸$ n $的矩阵，易于验证，可用于分析参数依赖的模型。
The concept of matrix $D$-stability, introduced in 1958 by Arrow and McManus is of major importance due to the variety of its applications. However, characterization of matrix $D$-stability for dimensions $n > 4$ is considered as a hard open problem. In this paper, we propose a simple way for testing matrix $D$-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 $n$, are easy to verify and can be used for the analysis of parameter-dependent models.
