Global convergence of the Durand-Kerner method applied to the equation \(z^ 3 = 0\) (Q1919499)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Global convergence of the Durand-Kerner method applied to the equation \(z^ 3 = 0\) |
scientific article; zbMATH DE number 908429
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global convergence of the Durand-Kerner method applied to the equation \(z^ 3 = 0\) |
scientific article; zbMATH DE number 908429 |
Statements
Global convergence of the Durand-Kerner method applied to the equation \(z^ 3 = 0\) (English)
0 references
23 July 1996
0 references
The Durand-Kerner method for finding all the roots of a polynomial is applied to the equation \(z^3=0\). It is proved that the method is globally convergent. The behaviour of orbits with real initial values is chaotic, while the convergence with complex initial values is balanced.
0 references
polynomial roots
0 references
global convergence
0 references
Durand-Kerner method
0 references
0.8447586
0 references
0.83796376
0 references
0.8351186
0 references
