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CONVERGENCE OF NEWTON'S METHOD UNDER THE GAMMA CONDITION
(Universidad Católica del Norte, Departamento de Matemáticas, 2006)
On the solution of generalized equations and variational inequalities
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2011)
Una nueva forma del Teorema de Kantorovich para el método de newtonA new form of the kantorovich theorem for newton’s method
(Universidad Nacional de Ingeniería, 2018)
Una nueva forma del Teorema de Kantorovich para el método de newtonA new form of the kantorovich theorem for newton’s method
(Universidad Nacional de Ingeniería, 2018)
Expanding kantorovich’s theorem for solving generalized equations
In [18], G. S. Silva considered the problem of approximating the solution of the generalized equation F(x) + Q(x) ϶ 0, (22.1) where F : D → H is a Fréchet differentiable function, H is a Hilbert space with inner product ...
A Unifying local convergence result for Newton's method in Riemannian manifolds
(2008)
We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for theexistence and local uniqueness of the solution, and for the ...
A unifying local convergence result for Newton's method in Riemannian manifolds
(SPRINGER, 2008-04)
We consider the problem of nding a singularity of a vector eld X on a complete
Riemannian manifold. In this regard we prove a uni ed result for local convergence of
Newton's method. Inspired by previous work of Zabrejko ...
Extending the convergence domain of Newton's method for twice Frechet differentiable operators
We present a semi-local convergence analysis of Newton's method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Using center-Lipschitz condition on the first and the ...
Extending the mesh independence for solving nonlinear equations using restricted domains
The mesh independence principle states that, if Newton’s method is used to solve an equation on Banach spaces as well as finite dimensional discretizations of that equation, then the behaviour of the discretized process ...