A family of necessary stability inequalities via quadratic forms

Publikationstyp
Journal Article
Date Issued
2011
Sprache
English
Author(s)
Batra, Prashant  orcid-logo
Institut
Zuverlässiges Rechnen E-19  
TORE-URI
http://hdl.handle.net/11420/7924
Journal
Mathematical inequalities & applications  
Volume
14
Issue
2
Start Page
313
End Page
321
Citation
Mathematical Inequalities and Applications 2 (14): 313-321 (2011)
Publisher DOI
10.7153/mia-14-25
Scopus ID
2-s2.0-79952085462
Publisher
Element
Inequalities relating three coefficients of the even or odd part of a Hurwitz-stable polynomial have been established recently via the Newton-MacLaurin inequalities, and via optimization techniques for multivariate functions on the positive orthant. From the theory of quadratic forms we derive a family of strict inequalities which includes and generalizes the known inequalities. For polynomials of higher degree quantifiable improvements are obtained. Benefit of these inequalities is low-cost instability testing for polynomials with varying coefficients. © by Element.
Subjects
Cauchy index
Interval polynomial
Quadratic forms
Stability conditions
DDC Class
004: Informatik
510: Mathematik