Chebyshev-Halley's method on Riemannian manifolds
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Publication:1696429
DOI10.1016/j.cam.2017.12.019zbMath1385.53008OpenAlexW2778473841WikidataQ115359810 ScholiaQ115359810MaRDI QIDQ1696429
Publication date: 14 February 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2017.12.019
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Local Riemannian geometry (53B20) Numerical approximation and computational geometry (primarily algorithms) (65D99)
Related Items (2)
Semilocal convergence of Modified Chebyshev-Halley method for nonlinear operators in case of unbounded third derivative ⋮ Convergence analysis of the modified Chebyshev's method for finding multiple roots
Cites Work
- Convergence criteria of Newton's method on Lie groups
- Traub-type high order iterative procedures on Riemannian manifolds
- Third-order iterative methods with applications to Hammerstein equations: a unified approach
- A two-step Steffensen's method under modified convergence conditions
- A modification of Newton method with third-order convergence
- Newton's method for sections on Riemannian manifolds: Generalized covariant \(\alpha \)-theory
- A unifying local convergence result for Newton's method in Riemannian manifolds
- Newton's method for approximating zeros of vector fields on Riemannian manifolds
- Newton's method on Lie groups
- A note on the Halley method in Banach spaces
- Second-derivative-free variant of the Chebyshev method for nonlinear equations
- Kantorovich's theorem on Newton's method in Riemannian manifolds
- Introduction to differentiable manifolds.
- Third-order methods on Riemannian manifolds under Kantorovich conditions
- Symplectic methods for the approximation of the exponential map and the Newton iteration on Riemannian submanifolds
- Newton-type methods on Riemannian manifolds under Kantorovich-type conditions
- On a bilinear operator free third order method on Riemannian manifolds
- An improved unifying convergence analysis of Newton's method in Riemannian manifolds
- Third-order convergence theorem by using majorizing function for a modified Newton method in Banach space
- Third-order iterative methods under Kantorovich conditions
- On a third-order Newton-type method free of bilinear operators
- Newton's method on Riemannian manifolds and a geometric model for the human spine
- Results on the Chebyshev method in banach spaces
- The theory of differentiation in linear topological spaces
- A family of Chebyshev-Halley type methods in Banach spaces
- A modification of the Chebyshev method
- Newton's method on Riemannian manifolds: covariant alpha theory
- New Kantorovich-Type Conditions for Halley's Method
- A Shamanskii-Like Acceleration Scheme for Nonlinear Equations at Singular Roots
- Newton's method on Riemannian manifolds: Smale's point estimate theory under the γ-condition
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