Traub-type high order iterative procedures on Riemannian manifolds
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Publication:489938
DOI10.1007/s40324-014-0010-0zbMath1317.47061OpenAlexW1979775027WikidataQ115372976 ScholiaQ115372976MaRDI QIDQ489938
Publication date: 21 January 2015
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-014-0010-0
Riemannian manifoldssemilocal convergenceBanach spaceKantorovich-type hypothesesTraub-type iterative procedure
Iterative procedures involving nonlinear operators (47J25) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)
Related Items (2)
Local convergence analysis of inexact Newton method with relative residual error tolerance under majorant condition in Riemannian manifolds ⋮ Chebyshev-Halley's method on Riemannian manifolds
Cites Work
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- Expanding the applicability of high-order Traub-type iterative procedures
- Weaker conditions for the convergence of Newton's method
- On a family of high-order iterative methods under Kantorovich conditions and some applications
- Pompeiu problem for the Heisenberg ball
- Hyperbolastic modeling of wound healing
- Third-order iterative methods with applications to Hammerstein equations: a unified approach
- Optimal eighth order iterative methods
- Principles and procedures of numerical analysis
- A two-step Steffensen's method under modified convergence conditions
- A modification of Newton method with third-order convergence
- A unifying local convergence result for Newton's method in Riemannian manifolds
- Smale's point estimate theory for Newton's method on Lie groups
- Newton's method for approximating zeros of vector fields on Riemannian manifolds
- Notes on the stability of dynamic economic systems.
- 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.
- A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
- Symplectic methods for the approximation of the exponential map and the Newton iteration on Riemannian submanifolds
- On the semilocal convergence of efficient Chebyshev-secant-type methods
- An improved unifying convergence analysis of Newton's method in Riemannian manifolds
- Extending the applicability of Newton's method on Lie groups
- Third-order iterative methods under Kantorovich conditions
- On a third-order Newton-type method free of bilinear operators
- Two optimal families of iterative methods for solving nonlinear equations
- Convergence and Applications of Newton-type Iterations
- On the convergence of two-step Newton-type methods of high efficiency index
- A modification of the Chebyshev method
- New Kantorovich-Type Conditions for Halley's Method
- A Shamanskii-Like Acceleration Scheme for Nonlinear Equations at Singular Roots
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