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<p>In this paper, we study the semilocal convergence analysis of the higher order method in Riemannian manifolds to approximate the zeros of a vector field. We provide the semilocal convergence analysis of the higher order method with Lipschitz continuity condition on the first order covariant derivative of a vector field. Finally, some numerical examples are given.</p>

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Semilocal convergence of the higher order method in Riemannian manifolds

  • 期刊论文

  • 发表日期：

    2025年6月2日

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  • Chandresh Prasad

摘要

In this paper, we study the semilocal convergence analysis of the higher order method in Riemannian manifolds to approximate the zeros of a vector field. We provide the semilocal convergence analysis of the higher order method with Lipschitz continuity condition on the first order covariant derivative of a vector field. Finally, some numerical examples are given.