The roots of any polynomial equation
| dc.creator | Uytdewilligen, Geert-Jan | |
| dc.date | 2004-08-19 | |
| dc.date | 2004-08-20 | |
| dc.date.accessioned | 2026-07-07T05:11:24Z | |
| dc.date.available | 2026-07-07T05:11:24Z | |
| dc.description | We provide a method for solving the roots of the general polynomial equation a[n]*x^n+a[n-1]*x^(n-1)+..+a1*x+a0=0. To do so, we express x as a powerseries of s, and calculate the first n-2 coefficients. We turn the polynomial equation into a differential equation that has the roots as solutions. Then we express the powerseries' coefficients in the first n-2 coefficients. Then the variable s is set to a0. A free parameter is added to make the series convergent. | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408264 | |
| dc.identifier | http://arxiv.org/abs/math/0408264 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72230 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | The roots of any polynomial equation | |
| dc.type | text |