Approximate roots ofnth-order polynomials

1 July 1965

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 10 (3) , 354-356
https://doi.org/10.1109/tac.1965.1098138

Abstract

Two theorems are introduced that relate to the approximation of minimum magnitude real and complex conjugate roots of n 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
EQUATIONS
CONTROL SYSTEMS
CONTROL SYSTEM ANALYSIS
CLOSED-FORM SOLUTION

This publication has 2 references indexed in Scilit:

On Zeros of a Hurwitz Polynomial
IEEE Transactions on Circuit Theory, 1965
Dominant Zero and Excess Phase of a Hurwitz Polynomial
IEEE Transactions on Circuit Theory, 1964