EXTENDING THE APPLICABILITY OF NEWTON'S METHOD ON RIEMANNIAN MANIFOLDS WITH VALUES IN A CONE
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Publication:2868585
DOI10.1142/S1793557113500411zbMath1277.65029WikidataQ115244552 ScholiaQ115244552MaRDI QIDQ2868585
Santhosh George, Ioannis K. Argyros
Publication date: 17 December 2013
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Numerical computation of solutions to single equations (65H05) Numerical solutions to equations with nonlinear operators (65J15)
Cites Work
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- Weaker conditions for the convergence of Newton's method
- A new semilocal convergence theorem for Newton's method
- 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
- Newton's method for nonlinear inequalities
- Kantorovich's theorem on Newton's method in Riemannian manifolds
- An improved unifying convergence analysis of Newton's method in Riemannian manifolds
- Extending the applicability of Newton's method on Lie groups
- Extension of Newton's method to nonlinear functions with values in a cone
- A semilocal convergence analysis for directional Newton methods
- Newton's method on Riemannian manifolds and a geometric model for the human spine
- Convergence and Applications of Newton-type Iterations
- Monotone vector fields and the proximal point algorithm on Hadamard manifolds
- Newton's method on Riemannian manifolds: covariant alpha theory
- Adaptive Approximation of Nonlinear Operators
- A Trust-Region Approach to Nonlinear Systems of Equalities and Inequalities
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