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Listar por tema "convergence analysis"

Mostrando ítems 1-3 de 3

    • Achieving optimal order in a novel family of numerical methods: insights from convergence and dynamical analysis results 

      Moscoso-Martínez, Marlon; Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R.; Ureña-Callay, Gabriela (MDPI, 2024)
      In this manuscript, we introduce a novel parametric family of multistep iterative methods designed to solve nonlinear equations. This family is derived from a damped Newton’s scheme but includes an additional Newton step ...

    • Inexact Newton Methods on Riemannian Manifolds 

      Argyros, Ioannis K; Magreñán, Á. Alberto (Advances in iterative methods for nonlinear equations, 2016)
      In this chapter we study of the Inexact Newton Method in order to solve problems on a Riemannian Manifold. We present standard notation and previous results on Riemannian manifolds. A local convergence study is presented ...

    • Secant-like methods in chemistry 

      Magreñán, Á. Alberto ; Argyros, Ioannis K (Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
      In this chapter we provide different semilocal and local results for the convergence of secant-like methods in order to expand the solvability of nonlinear equations. Different numerical examples and chemical applications ...