Secant Method on Riemannian Manifolds

2017/12/07 by Rodrigo Castro, Castro, Rodrigo, Gustavo Di Giorgi +3
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1712.02655

openalex publication_date 2017/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, by using techniques and results of differential geometry, we propose a new numerical method on complete Riemannian manifolds to find zeros of vector fields. Our algorithm generalizes the classical secant method

Citations

• A family of Chebyshev-Halley type methods in Banach spaces

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