Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772944 | Linear Algebra and its Applications | 2017 | 23 Pages |
Abstract
We describe a new subclass of the class of real polynomials with real simple roots called self-interlacing polynomials. This subclass is isomorphic to the class of real Hurwitz stable polynomials (all roots in the open left half-plane). In the work, we present basic properties of self-interlacing polynomials and their relations with Hurwitz and Hankel matrices as well as with Stiltjes type of continued fractions. We also establish “self-interlacing” analogues of the well-known Hurwitz and Liénard-Chipart criterions for stable polynomials. A criterion of Hurwitz stability of polynomials in terms of minors of certain Hankel matrices is established.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mikhail Tyaglov,