Convergence of the family of Euler-Halley type methods on Riemannian manifolds under the \(\gamma\)-condition (Q1026970)
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: Convergence of the family of Euler-Halley type methods on Riemannian manifolds under the \(\gamma\)-condition |
scientific article; zbMATH DE number 5572689
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of the family of Euler-Halley type methods on Riemannian manifolds under the \(\gamma\)-condition |
scientific article; zbMATH DE number 5572689 |
Statements
Convergence of the family of Euler-Halley type methods on Riemannian manifolds under the \(\gamma\)-condition (English)
0 references
30 June 2009
0 references
The authors study the solution systems of nonlinear of equations on Riemannian manifolds by generalizations of Newton's method known as Euler-Halley type methods. Provided the covariant derivatives satisfy the gamma-condition, a criterion for cubic convergence is established.
0 references
nonlinear equations on Riemannian manifolds
0 references
Euler-Halley methods
0 references
cubic convergence
0 references
gamma-condition
0 references
