Kantorovich's Theorem on Newton's Method in Riemannian Manifolds
Copyright policy )Kantorovich's Theorem on Newton's Method in Riemannian Manifolds
This paper is concerned with the problem of finding a singularity of a vector field in a Riemannian manifold. The authors present an extension of Kantorovich's theorem on Newton's method for this problem in finite dimensional Riemannian manifolds.
Statistics and Probability, Numerical Analysis, Algebra and Number Theory, Control and Optimization, Numerical solutions to equations with nonlinear operators, Applied Mathematics, vectorial field, Kantorovich's theorem, singularity, Riemannian manifolds, Newton's method, Singularities of vector fields, topological aspects
Statistics and Probability, Numerical Analysis, Algebra and Number Theory, Control and Optimization, Numerical solutions to equations with nonlinear operators, Applied Mathematics, vectorial field, Kantorovich's theorem, singularity, Riemannian manifolds, Newton's method, Singularities of vector fields, topological aspects
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