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Asymptotically Newton-Type Methods without Inverses for Solving Equations

The implementation of Newton’s method for solving nonlinear equations in abstract domains requires the inversion of a linear operator at each step. Such an inversion may be computationally very expensive or impossible to find. That is why alternative iterative methods are developed in this article t...

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Principais autores: Ioannis K. Argyros, Santhosh George, Stepan Shakhno, Samundra Regmi, Mykhailo Havdiak, Michael I. Argyros
Format: Artigo
Sprog:Inglês
Udgivet: MDPI AG 2024-04-01
Serier:Mathematics
Fag:
Newton-type method
banach space
frozen sum of operators
Fréchet derivative
convergence
inverse of a linear operator
Online adgang:https://www.mdpi.com/2227-7390/12/7/1069
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