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A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds

✍ Scribed by F. Alvarez; J. Bolte; J. Munier


Publisher
Springer-Verlag
Year
2006
Tongue
English
Weight
477 KB
Volume
8
Category
Article
ISSN
1615-3375

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A semi-local convergence theorem for a r
✍ Zhengyu Wang; Xinyuan Wu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 462 KB

It is well known that Newton's iteration will abort due to the overflow if the derivative of the function at an iterate is singular or almost singular. In this paper, we study a robust revised Newton's method for solving nonlinear equations, which can be carried out with a starting point with a dege