Comments on "On the Walach-Zeheb multivariable positivity test

Comments on "On the Walach-Zeheb multivariable positivity test

In the above \footnote[1]{paper}, some reservations concerning the validity of a recently proposed positivity test when applied to the case of unbounded domains, are put forward. The purpose of this note is to detail a procedure to test positivity of a real polynomial in n real variables, where one...

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Veröffentlicht in:IEEE transactions on circuits and systems 1985-04, Vol.32 (4), p.398-401
Hauptverfasser: Walach, E., Zeheb, E.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Circuit noise
Circuit stability
Control systems
Digital filters
Equations
Exact sciences and technology
Information, signal and communications theory
Limit-cycles
Mathematical methods
Nonlinear control systems
Polynomials
State feedback
Telecommunications and information theory
Testing
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Zusammenfassung:In the above \footnote[1]{paper}, some reservations concerning the validity of a recently proposed positivity test when applied to the case of unbounded domains, are put forward. The purpose of this note is to detail a procedure to test positivity of a real polynomial in n real variables, where one or more of the variables approach infinity, using Newton diagrams. This complements the unbounded case of the positivity test. (1) D. H. Martin, IEEE Trans. Circuits Syst., vol. CAS-30, pp. 1-5, Jan. 1983.
ISSN:0098-4094
1558-1276
DOI:10.1109/TCS.1985.1085706