Durand–Kerner method: Difference between revisions

Content deleted Content added
BG19bot (talk | contribs)
m External links: Remove blank line(s) between list items per WP:LISTGAP to fix an accessibility issue for users of screen readers. Do WP:GENFIXES and cleanup if needed. Discuss this at Wikipedia talk:WikiProject Accessibility#LISTGAP
Line 104:
|----
!0
| +1.0000 + 0.0000i
| +0.4000 + 0.9000i
| −0.6500 + 0.7200i
|----
!1
| +1.3608 + 2.0222i
| −0.3658 + 2.4838i
| −2.3858 − 0.0284i
|----
!2
| +2.6597 + 2.7137i
| +0.5977 + 0.8225i
| −0.6320−1.6716i
|----
! 3
| +2.2704 + 0.3880i
| +0.1312 + 1.3128i
| +0.2821 − 1.5015i
|----
! 4
| +2.5428 − 0.0153i
| +0.2044 + 1.3716i
| +0.2056 − 1.3721i
|----
! 5
| +2.5874 + 0.0000i
| +0.2063 + 1.3747i
| +0.2063 − 1.3747i
|----
! 6
| +2.5874 + 0.0000i
| +0.2063 + 1.3747i
| +0.2063 − 1.3747i
|----
|}
Note that the equation has one real root and one pair of complex conjugate roots, and that the sum of the roots is  3.
 
==Derivation of the method via Newton's method==