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Local convergence analysis of the Gauss–Newton method under a majorant condition

✍ Scribed by O.P. Ferreira; M.L.N. Gonçalves; P.R. Oliveira

Book ID
108163826
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
273 KB
Volume
27
Category
Article
ISSN
0885-064X

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📜 SIMILAR VOLUMES

Local convergence of Newton’s method und
Local convergence of Newton’s method under majorant condition
✍ O.P. Ferreira 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 240 KB

A local convergence analysis of Newton's method for solving nonlinear equations, under a majorant condition, is presented in this paper. Without assuming convexity of the derivative of the majorant function, which relaxes the Lipschitz condition on the operator under consideration, convergence, the

On the local convergence of inexact Newt
On the local convergence of inexact Newton-type methods under residual control-type conditions
✍ Hongmin Ren; Ioannis K. Argyros 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 322 KB

A local convergence analysis of inexact Newton-type methods using a new type of residual control was recently presented by C. Li and W. Shen. Here, we introduce the center-Hölder condition on the operator involved, and use it in combination with the Hölder condition to provide a new local convergenc