Secant Method on Riemannian Manifolds
arXiv:1712.026552 citationsh-index: 7
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It provides a novel numerical method for optimization and root-finding on Riemannian manifolds, which is relevant for researchers in differential geometry and optimization.
This paper generalizes the classical secant method to complete Riemannian manifolds for finding zeros of vector fields, proposing a new numerical method using differential geometry.
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