DocumentCode :
789532
Title :
Approximate roots of 
th-order polynomials
th-order polynomialsAuthor :
Eisenberg, Lawresce
Author_Institution :
Newark College of Engineering, Newark, NJ, USA
Volume :
10
Issue :
3
fYear :
1965
fDate :
7/1/1965 12:00:00 AM
Firstpage :
354
Lastpage :
356
Abstract :
Two theorems are introduced that relate to the approximation of minimum magnitude real and complex conjugate roots of th-order polynomials. These approximations are given in terms of all the coefficients of the polynomial. Tables of the accuracy of the approximations to the minimum magnitude real and complex conjugate roots are presented. Also presented, is an example of an application to a linear control system.
th-order polynomials. These approximations are given in terms of all the coefficients of the polynomial. Tables of the accuracy of the approximations to the minimum magnitude real and complex conjugate roots are presented. Also presented, is an example of an application to a linear control system.Keywords :
Polynomials; Closed-form solution; Control system analysis; Control systems; Equations; Polynomials;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1965.1098138
Filename :
1098138
Link To Document :
