Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 819-830 |
| Number of pages | 12 |
| Journal | Journal of the Franklin Institute |
| Volume | 327 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1990 |
Fingerprint
Cite this
}
Finding roots by deflated polynomial approximation. / Lucas, T. Nigel.
In: Journal of the Franklin Institute, Vol. 327, No. 5, 1990, p. 819-830.Research output: Contribution to journal › Article
TY - JOUR
T1 - Finding roots by deflated polynomial approximation
AU - Lucas, T. Nigel
PY - 1990
Y1 - 1990
N2 - A numerical technique is presented which evaluates the roots of polynomials with real coefficients. Features of the method include no complex arithmetic requirements, no need to guess at initial quadratic factor estimates, multiple or nearly equal roots being easily dealt with and a high degree of flexibility in coping with non-convergent iterations. The method is simple to use and is based upon a Routh Array-type algorithm familiar to control engineers. Numerical examples demonstrate its application to various polynomials.
AB - A numerical technique is presented which evaluates the roots of polynomials with real coefficients. Features of the method include no complex arithmetic requirements, no need to guess at initial quadratic factor estimates, multiple or nearly equal roots being easily dealt with and a high degree of flexibility in coping with non-convergent iterations. The method is simple to use and is based upon a Routh Array-type algorithm familiar to control engineers. Numerical examples demonstrate its application to various polynomials.
U2 - 10.1016/0016-0032(90)90085-W
DO - 10.1016/0016-0032(90)90085-W
M3 - Article
VL - 327
SP - 819
EP - 830
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
SN - 0016-0032
IS - 5
ER -