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A General Version of the Retract Method for Discrete Equations

✍ Scribed by Josef Diblík; Irena Růžičková; Miroslava Růžičková

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
167 KB
Volume
23
Category
Article
ISSN
1439-7617

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✍ Marek J. Śmietański 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 236 KB

In this paper, modifications of a generalized Newton method based on some rules of quadrature are studied. The methods considered are Newton-like iterative schemes for numerical solving systems of nonsmooth equations. Some mild conditions are given that ensure superlinear convergence to a solution.