DocumentCode :
1184145
Title :
Sign test of multivariable real polynomials
Author :
Walach, Eugene ; Zeheb, Ezra
Volume :
27
Issue :
7
fYear :
1980
fDate :
7/1/1980 12:00:00 AM
Firstpage :
619
Lastpage :
625
Abstract :
New theorems and procedures are presented for testing positivity and nonnegativity of a real polynomial in 
real variables. The methods pertain to global as well as nonglobal or local sign tests for any closed intervals of the variables. A dimension growth is not required, and the methods depend on resolution of the solution of a set of equations in variables. Also provided is a simplified estimation of the computational effort involved in the present procedures, as compared to procedures where a dimension growth is required. Several illustrative examples are also provided.
real variables. The methods pertain to global as well as nonglobal or local sign tests for any closed intervals of the variables. A dimension growth is not required, and the methods depend on resolution of the solution of a set of equations in variables. Also provided is a simplified estimation of the computational effort involved in the present procedures, as compared to procedures where a dimension growth is required. Several illustrative examples are also provided.Keywords :
Multidimensional (n-D) system; Multivariable polynomials; Acoustic testing; Automatic control; Circuit testing; Circuits and systems; Digital filters; Mathematics; Polynomials; Speech processing; Stability; System testing;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1980.1084864
Filename :
1084864
Link To Document :
